Compared to classical engineering disciplines, cybernetics is still a young
science. In general, cybernetics is the science of control and information of
both machines and living beings. Cybernetics deals with the mastery of complex
systems by using abstract and systematic approaches. On the one hand, it handles
the development and application of methods analysing the system behaviour, on
the other hand, it provides syntheses methods for the development of strategies
for a controlled change in system behaviour. The interdisciplinary character
of cybernetics yields out of the independence of these methods from the application
in view, which are already widespread in the engineering field and are more
and more extended into biology and economic sciences. Therefore, cybernetics
can be divided according to the fields of application into single disciplines
of engineering, biological, and economical cybernetics, respectively.
The course of study of Engineering Cybernetics was introduced at the Universität
Stuttgart in 1971 and deals with theoretical fundamentals for the description
of dynamic behaviour of engineering systems. Furthermore, it procures general
methods for the automation of engineering processes in order to operate them
more precisely, more reliably, faster, and more sensitive for environmental
concerns. Consequently, the studies require a basic engineering interest and
understanding of physical relations as well as an inclination to abstract mathematical
reasoning.
The duration of studies in Engineering Cybernetics at the Universität
Stuttgart is officially 9 semesters plus 12 weeks of internship. Currently,
the average duration of studies (incl. internship) is less than 12 semesters.
The course of study of Engineering Cybernetics belongs to the Faculty of Mechanical
Engineering. The following institutes are in charge
of it:
 Institute A of Mechanics
[Institut A für Mechanik (Mech A)]
Director: Prof. Dr.Ing. L. Gaul
Prof. Dr.Ing. A. Kistner
Prof. Dr.Ing. H. Sorg
Phone: 07116856277
Fax: 0711/6856282
Address: Pfaffenwaldring 9, 70550 Stuttgart
email: {L.Gaul, A.Kistner, H.Sorg}@mecha.unistuttgart.de
Webpage: www.mecha.unistuttgart.de
 Institute of System Dynamics and Control Engineering
[Institut für Systemdynamik und Regelungstechnik (ISR)]
Director: Prof. Dr.Ing. Dr.h.c.mult. E.D. Gilles
Prof. Dr.Ing. H. Wehlan
Prof. Dr.Ing. Dr.h.c. M. Zeitz
Phone: 0711/6856302, 6304, 6313
Fax: 0711/6856371
Address: Pfaffenwaldring 9, 70550 Stuttgart
email: {seifert, wehlan, zeitz}@isr.unistuttgart.de
Webpage: www.isr.unistuttgart.de
 Institute for Systems Theory in Engineering
[Institut für Systemtheorie Technischer Prozesse (IST)]
Director: Prof. Dr.Ing. F. Allgöwer
Phone: 0711/6857733
Fax: 0711/6857735
Adress: Pfaffenwaldring 9, 70550 Stuttgart
email: Allgower@ist.unistuttgart.de
Webpage: www.ist.unistuttgart.de
The course of study of Engineering Cybernetics is composed of 2 parts: the
Stage 1 and the Stage 2 Studies. The Stage 1 Studies end with the prediploma
examination ("Vordiplom"). After having successfully passed the prediploma
examination, students enter into the Stage 2 Studies which are then completed
with the (final) diploma examination ("Diplom"). It is only possible
to begin the studies in Engineering Cybernetics in the Winter Semester.
Further information can be obtained by:
Dean of Students: Prof. Dr.Ing. F. Allgöwer; Studiendekan
Phone: 0711/6857733
ECTSCoordinator: Prof. Dr.Ing. Dr.h.c. M. Zeitz
Phone: 0711/6856313
email: zeitz@isr.unistuttgart.de
Consulting Office: Monika Meisel
Phone: 0711/6856300
email: meisel@isr.unistuttgart.de
Further contact addresses:
Webpage: http://www.techkyb.de
email: info@techkyb.unistuttgart.de
C2. Course Catalogue/ Engineering Cybernetics
1. Explanation of Terms
Semester: 1/WS

Hours per Week: 2+1

Examination: oral

Type: L + E

Prerequisites: 

Credits: 6

Semester: recommended semester:
WS = Winter Semester
SS = Summer Semester
Type: L = Lecture (Vorlesung)
E = Exercise (Übung)
P = Practical work in laboratory (Praktikum)
Prerequisites: The description of the courses contains no further information
about the required prerequisites. The courses are structured in a logical way
such that the acquired knowledge in each semester is the basis for the next
one.
Examination: certificate = course certificate (Schein)
oral = oral exam (mündliche Prüfung)
written = written exam (Klausur)
(More detailed descriptions regarding the presentation of course credits
can be found in the examination regulations. Examinations in some courses of
the Stage 1 Studies are combined in blocks.)
Credits: Number of credits
The credit system is based on 60 credits per academic year.
2. Stage 1 Studies
2.1 Structure of Stage 1 Studies
A broad basic knowledge in the classic engineering disciplines (Mechanical
Engineering, Technical Thermodynamics, Electrical Engineering) is offered during
the Stage 1 Studies, largely in accordance with the courses of study of Mechanical
Engineering and Chemical Engineering. In our case, however, emphasis is put
on Mathematics and Computer Science.
Table I shows the weekly hours of courses of the Stage 1 Studies during the
first 4 semesters.
Table I:

Sem.1
L E P

Sem.2
L E P

Sem.3
L E P

Sem.4
L E P

Advanced Mathematics IIII

5

4



5

4



5

4









Probability Theory and Statistics

3

2





















Technical Mechanics IIII







4

2



4

3



2

2



Technical Thermodynamics I + II













2

1



2

2



Introduction to Electrical Engineering I + II







2

1



2

1

1







Metrology I + II

2









2







2

2



Fundamentals of Machine Design I + II

2

1



3

















Introduction to Computer Science I + II

2

1



2

1







2







Electrical Signal Processing



















2

2



Systems with Distributed Parameters



















2

2



Introduction to Cybernetics

2























Introductory Seminar Eng. Cybernetics





















2



As a rule, the Stage 1 Studies are completed with the prediploma examination
("Vordiplom") at the end of the fourth semester. The student is considered
to have passed the prediploma examination as soon as he or she is registered
at the examination office as having passed all the demanded exams.
2.2 Survey of Courses of Stage 1 Studies
Advanced Mathematics I
Höhere Mathematik I
Vector calculus, analytic geometry, matrices, determinants, systems of linear
equations, complex numbers, sequences, power series, elementary functions, differentiation,
meanvalue theorem, Taylors formula.
Semester: 1/WS

Hours per Week: 5+4

Examination: written^{(1)}

Type: L + E

Prerequisites: 

Credits: 10.5

Advanced Mathematics II
Höhere Mathematik II
Indefinite integrals, linear differential equations with constant coefficients,
definite integrals, improper integrals, functions of two or more variables,
partial differential equations, Taylors formula, extrema.
Semester: 2/SS

Hours per Week: 5+4

Examination: written^{(1)}

Type: L + E

Prerequisites: 

Credits: 10.5

Advanced Mathematics III
Höhere Mathematik III
Volume integrals, surface integrals, vector analysis, theorems of Gauss and
Stokes, some special differential equations, introduction to complex analysis.
Semester: 3/WS

Hours per Week: 5+4

Examination: written^{(2)}

Type: L + E

Prerequisites: 

Credits: 10.5

Technical Mechanics I
Technische Mechanik I
Fundamentals of static: vector calculus, forces and moments, centre of gravity,
necessary conditions of equilibrium, types of support, statically determinate
systems. Statics of rigid beams: types of support, axial and shearing forces,
bending moments. Fundamentals of elastic bodies: bars with axial loads, bending
of beams without and with shearing forces, torsion of bars. Introduction to
kinematics: trajectory, velocity and acceleration of a particle, infinitesimal
and finite rotation of a rigid body, angular velocity and acceleration, kinematics
of relative motions.
Semester: 2/SS

Hours per Week: 4+2

Examination: written

Type: L + E

Prerequisites: 

Credits: 9

Technical Mechanics II
Technische Mechanik II
Fundamentals of dynamics: laws of momentum, law of angular momentum, kinetics
of rigid bodies, tensor of inertia, kinetic energy, law of conservation of energy,
principle of virtual work, Lagranges equations of the second kind. Mechanical
oscillations: free and forced oscillations of a linear damped system with one
degree of freedom, parametrically excited oscillations. Impact problems: assumptions
of technical impact theory, central impacts, eccentric impacts, multiple impacts.
Semester: 3/WS

Hours per Week: 4+3

Examination: written

Type: L + E

Prerequisites: 

Credits: 10.5

Technical Mechanics III
Technische Mechanik III
Fundamentals of elasticity: stress vector and stress tensor, displacements,
strain tensor, state of stress and strain at a point, Hookes law, strain energy.
Fundamentals of fluid dynamics: particle acceleration, stress tensor at a point,
tensor of the rate of strain at a point, continuity equation, viscosity, NavierStokes
equation.
Hydrostatics: fluids and gases in the gravitational field, pressure on walls,
hydrostatic lift, stability of swimming bodies. Applied fluid dynamics: ideal
fluids, stream lines, Bernoullis equation, incompressible flows, potential
flows, Bernoullis equation for potential flows, Laplaces equation, momentum
equation, onedimensional flows of viscous fluids, laminar and turbulent flow
in pipes of circular crosssection, drag of solid bodies.
Semester: 4/SS

Hours per Week: 2+2

Examination: written

Type: L + E

Prerequisites: 

Credits: 6

Technical Thermodynamics I
Technische Thermodynamik I
Task and basic concepts for thermodynamics. Thermodynamic equilibrium and the
empirical temperature. The first law of thermodynamics: work, internal energy,
heat, application of the first law to closed systems, application of the first
law to open systems, the caloric equation of state and the specific heat capacities,
simple processes with ideal gases. The second law of thermodynamics: the principle
of irreversibility, entropy and the absolute temperature, general formulation
of the second law, calculation of entropy, diagrams with entropy, special irreversible
processes, application of the second law to transformation of energy, exergy
(availability). Thermodynamic processes with gases: the Carnot cycle and the
reversed Carnot cycle, the gas turbine, the Stirling cycle, the Otto and the
Dieselengines, the air compressor.
Semester: 3/WS

Hours per Week: 2+1

Examination: written

Type: L + E

Prerequisites: 

Credits: 4.5

Technical Thermodynamics II
Technische Thermodynamik II
Thermodynamic properties of pure substances: gases and vapours, diagrams, solidification
and the solid state, equation of Clausius and Clapeyron. Thermodynamic processes
with vapours: the ClausiusRankine process and its reversal. Introduction to
thermodynamics of mixtures: definitions, mixtures of ideal gases, mixtures of
gases and vapours, h_{1+X},Xdiagram, applications (cooling tower,
air condition processes, drying). Combustion: stoichiometry, gross calorific
value, net calorific value, adiabatic flame temperature. Real gases: the Van
der Waals equation, enthalpy as a function of p and T, entropy as a function
of p and T, throttling of real gases, Thomson Joule effect. Thermodynamics of
fluid flow: flow processes without work, adiabatic flow, Fanno line, velocity
of sound, normal shock, flow in diffusers and nozzles.
Semester: 4/SS

Hours per Week: 2+2

Examination: written

Type: L + E

Prerequisites: 

Credits: 6

Introduction to Electrical Engineering I
Einführung in die Elektrotechnik I
Direct current: definitions, electrical quantities, Ohms law, calculation
of direct current circuits. Electric and magnetic fields: electric field, capacitor,
magnetic field, forces and voltage generation in magnetic fields.
Alternating current: alternating current resistance, vector representation
of alternating current quantities, representation of alternatingcurrent quantities
in the complex plane and calculation of alternating current circuits, oscillating
circuits, compensation of reactive currents, threephase current.
Semester: 2/SS

Hours per Week: 2+1

Examination: written^{(3)}

Type: L + E

Prerequisites: 

Credits: 4.5

Introduction to Electrical Engineering II
Einführung in die Elektrotechnik II
Rotating electrical machines: direct current machines, alternating current
machines, threephase asynchronous machines, onephase alternating current motors,
variable speed motors. Electric drives: fundamental principles, startup of
electric drives. Static converters (power electronics): fundamentals, semiconductors,
controlled converters and applications. Basic elements of electronics for communication
engineering: electronic components: diodes, transistors, circuits, integrated
circuits, analogue circuits, digital circuits, logic circuits.
Semester: 3/WS

Hours per Week: 2+1

Examination: written^{(3)}

Type: L + E

Prerequisites: 

Credits: 4.5

(3): one common exam, all courses have to be attended
Metrology I
Meßtechnik I
Measuring chain, compensation method, errors of measuring components, calculation
of measurement uncertainty, international system of units, measuring of mechanical
quantities (length, force, time, speed of rotation, torque, power, pressure),
measuring of thermal quantities (temperature, net calorific value, humidity),
volumetric flow measurements, flow rate measurements, technical gas analysis,
measuring of concentrations in fluids, measuring of electrical quantities (measurement
devices, measurement principles), radiation measurements, mechanical vibrations,
balancing, acoustic measurements.
Semester: 1/WS

Hours per Week: 2

Examination: certificate

Type: L

Prerequisites: 

Credits: 3

Metrology II
Meßtechnik II
Fundamentals, measuring microscope, measuring telescope, angle and linear encoders,
interferometric metrology, application of Moiré phenomena, triangulation
sensors, testing of optical components.
Semester: 4/SS

Hours per Week: 2+2

Examination: certificate

Type: L + E

Prerequisites: 

Credits: 6

Systems with Distributed Parameters
Systeme mit verteilten Parametern
Fundamentals of system theory, mathematical models of systems with lumped and
with distributed parameters. Solution of differential equations: Fourier series,
Fourier transformation and Laplace transformation. Modal transformation and
Greens function for boundaryvalue problems and partial differential equations.
Separation of variables and method of characteristics for partial differential
equations.
Semester: 4/SS

Hours per Week: 2+2

Examination: written

Type: L + E

Prerequisites: 

Credits: 6

Probability Theory and Statistics
Wahrscheinlichkeitstheorie und Statistik
Random events, probabilities, conditional probabilities, discrete random variables,
discrete probability distributions, geometric distribution, binomial distribution,
Poisson distribution, continuous random variables, continuous probability distributions,
uniform distribution, Gaussian distribution, law of large numbers, central limit
theorem, linear regression, multilinear regression, fundamental principles
of statistics, point estimation, maximum likelihood method, confidence intervals,
statistical tests.
Semester: 1/WS

Hours per Week: 3+2

Examination: written

Type: L + E

Prerequisites: 

Credits: 7.5

Fundamentals of Machine Design I
Grundzüge der Maschinenkonstruktion I
Fundamentals, definitions, working methods, design tasks, basic functions and
components. Defining requirements, specification list, evaluation and control
of design. Engineering drawing: standards of drawing, freehand drafting. Tolerances:
manufacturing tolerances, systems of fits. Springs: types and characteristics,
loaddeformation diagrams, composed spring systems. Structural forces and reactions,
strength of materials, strain: fundamentals of static, bearing reactions, virtual
cut stress calculation. Form and strength, design of frames. Mechanical connections,
rigid connections: welding, soldering and brazing, adhesive bonding.
Semester: 1/WS

Hours per Week: 2+1

Examination: certificate^{(4)}

Type: L + E

Prerequisites: 

Credits: 4.5

Fundamentals of Machine Design II
Grundzüge der Maschinenkonstruktion II
Mechanical connections: frictional fits: bolted joints, clamping elements,
interference fits. Positive fits: locking elements, circlips. Bearing of movable
machine components: rolling and sliding shaft bearings, guiding elements. Static
and dynamic sealing: container seals, hydraulic seals, sealing of rotating shafts.
Driving elements and units, axles and shafts, shaft couplings. Fundamentals
of gearing technology. Principles of optimum design on basis of optimum force
transmission, producibility (productivity gemeint?), cost.
Semester: 2/SS

Hours per Week: 3

Examination: certificate^{(4)}

Type: L

Prerequisites: 

Credits: 4.5

(4): one common exam, all courses have to be attended
Introduction to Computer Science I
Einführung in die Informatik I
Computer system principles; principles of high level programming; introduction
to OBERON language: notation systems, data types, control structures, procedures,
structured data types, pointer data types, object orientation.
Semester: 1/WS

Hours per Week: 2+1

Examination: written^{(5)}

Type: L + E

Prerequisites: 

Credits: 4.5

Introduction to Computer Science II
Einführung in die Informatik II
Formal concepts: sets, relations, structures, graphs; algorithms for numeric
applications, searching and storing; graph algorithms; structure and programme
design principles; boolean algebra; logic circuits; sequential circuits; computer
system components; computer organisation.
Semester: 2/SS

Hours per Week: 2+1

Examination: written^{(5)}

Type: L + E

Prerequisites: 

Credits: 4.5

(5): one common exam, all courses have to be attended
Electrical Signal Processing
Elektrische Signalverarbeitung
Fundamentals: signals, spectra, power, levels, twopoles, networks, fourpoles.
Components: R, C, L, transformers, diodes, transistors, integrated circuits,
operational amplifiers. Circuits: transistor circuits, applications of operational
amplifiers, electronic switches, sample and hold. Filters: filter types, filter
characteristics, filter approximations, frequency transformations, filter realisations.
Modulation: AM, PM, FM. Signal acquisition. Power amplifiers.
Semester: 4/SS

Hours per Week: 2+2

Examination: written

Type: L + E

Prerequisites: 

Credits: 6

Introduction to Cybernetics
[Einführung in die Kybernetik]
Lecture given by different teachers and institutes in order to introduce into
the wide spread areas of cybernetics.
Semester: 1/WS

Hours per Week: 2

Examination: certificate

Type: L

Prerequisites: 

Credits: 3

3. Stage 2 Studies
3.1 Structure of Stage 2 Studies
During the Stage 2 Studies, the subjects directly pertaining to the area of
Engineering Cybernetics are taught. Due to their common characteristics concerning
their dynamic behaviour, different engineering and nonengineering systems can
be studied by the same mathematical methods.
Table II shows the weekly hours of courses from the 5th to the 8th semester.
Table II:

Sem.5
L E P

Sem.6
L E P

Sem.7
L E P

Sem.8
L E P

Dynamics of Mechanical Systems

3

1





















Dynamics of Chemical Processes







3

1















Dynamics of NonEngineering Systems



















2

1



Dynamics of Discrete Event Systems

2

1





















Thermodynamics of Mixtures

2

1





















Automatic Control I + II

3

1



3

1

3





2







Control Technology I

2















2







Metrology III







2

















Simulation Engineering

3

1

2



















Realtime Data Processing

3

1







2













Stochastic Systems







2

1















Systems Theory*













3

1









Advanced Computer Science*













2

1



2

1



Practice Related Subject







3

1



3

1



3

1



Electives













3





3





Humanities













2











Advanced Seminar Engineering Cybernetics





















2



Practical Course























3

Project Work













* = several courses are offered alternatively (see also next page)
Concerning the compulsory subject "Systems Theory", students can
choose from the following list of courses:
 Adaptive and Learning Systems
 Control of Distributed Parameter Systems
 Control of Nonlinear Systems
 Discretetime Control Systems
 Dynamic Filtering Methods
 Fuzzy Methods
 Identification of Dynamic Systems
 LMIs in Control (taught in English)
 Optimization Methods with Applications
 Research Methods in Control Engineering (taught in English)
 Robust Control (taught in English)
However, not all of these lectures are offered every year.
The list of courses of the compulsory subject "Advanced Computer Science"
is updated every year. A summary of the lectures related to that subject can
be found in the plans of study of Computer Science and Electrical Engineering.
The current details and deadlines can be seen on the corresponding noticeboards
and are published in the respective course catalogue. The current lists of courses
of the subjects "Systems Theory" and "Advanced Computer Science"
are also on the corresponding noticeboard at the beginning of every semester.
In the practice related subject, the students should acquire a profund knowledge
of one possible application area of Engineering Cybernetics. Since there is
a diversified offer of application areas, the student has the possibility to
choose in accordance with his or her interests. The practice related subject
can be chosen from the following areas:
 Power Engineering
 Manufacturing Engineering
 Aerospace Engineering
 Nontechnical Systems
 Process Engineering
 Traffic Engineering
A description of courses belonging to the practice related subject can be found
in the corresponding plans of studies. Out of these courses, the students have
to attend at least 12 SWS [SWS = Semesterwochenstunden (weekly hours per semester)
of lectures and exercises.
The electives give the students the possibility to choose some of the examination
subjects on their own. They have to attend a minimum of 6 SWS ["Semesterwochenstunden"
(weekly hours per semester)] of lectures and exercises. Besides the courses
from the field of Engineering Cybernetics, students can also choose other courses
which represent a sensible complement to the course of study of Engineering
Cybernetics.
In the Humanities which can be freely chosen by the students, a minimum of
2 SWS (lectures, exercises, seminars) is required.
During the Stage 2 Studies and in order to qualify for the diploma examination,
the following requirements have to be met:
1) examinations in the following compulsory subjects:
 Dynamics of Mechanical Systems
 Dynamics of Chemical Processes
 Dynamics of NonEngineering Systems
 Realtime Data Processing
 Advanced Computer Science
 Metrology III
 Automatic Control I
 Automatic Control II
 Stochastic Systems
 Simulation Engineering
 Control Technology I
 Systems Theory
 Thermodynamics of Mixtures, or (alt.) Dynamics of Discrete Event Systems
2) examinations in the practice related subject and the electives
3) project work ("Studienarbeit")
4) project work (diploma thesis) ("Diplomarbeit")
The project work ("Studienarbeit") should show that the student is
able to apply the knowledge acquired to solve a proposed research task. As a
rule, it is carried out under the supervision of a member of the academic staff
who is in charge of teaching activities within the scope of Engineering Cybernetics.
The project work should be concluded after 300 hours of work and within a maximum
period of 6 months. An oral presentation of the project work is part of the
examination.
The diploma thesis ("Diplomarbeit") should demonstrate that
the student is capable of handling a research work on his or her own, to a large
extent, applying scientific methods. As a rule, the diploma thesis is completed
under the guidance of an university teacher who works in the field of Engineering
Cybernetics.
3.2 Survey of Courses of Stage 2 Studies
Dynamics of Mechanical Systems
Dynamik Mechanischer Systeme
Kinematics of a rigid body in space: location and orientation, relative motion,
holonomic and nonholonomic constraints, virtual displacement, degree of freedom.
Fundamental dynamic equations: laws of momentum, law of angular momentum, dAlemberts
principle, Lagranges equations of the first kind, kinetic energy. Dynamics
of holonomic systems: equations of motion in minimal coordinates derived from
dAlemberts principle, Lagranges equations of the second kind, Hamiltons
canonical equations. Dynamics of nonholonomic systems: equations of motion in
minimal coordinates and minimal velocities derived from dAlemberts principle,
equations of GibbsAppell. Linearized equations of motion: linearization, solution
of linear systems, stability, free and forced vibrations of linear holonomic
systems. Nonlinear systems: analysis in the phase plane, stability.
Semester: 5/WS

Hours per Week: 3+1

Examination: written

Type: L + E

Prerequisites: 

Credits: 6

Dynamics of Chemical Processes
Dynamik verfahrenstechnischer Systeme
Fundamental principles of thermodynamics of mixtures, introduction to irreversible
thermodynamics, entropy and stability. Formulation of balance equations (energy
balance, mass balance, momentum balance), singlephase systems (CSTR), twophase
systems (tray of a distillation column), systems with distributed parameters
(catalytic reactor).
Semester: 6/SS

Hours per Week: 3+1

Examination: written

Type: L + E

Prerequisites: 

Credits: 6

Dynamics of NonEngineering Systems
Dynamik nichttechnischer Systeme
Applications of cybernetics in nonengineering areas, e.g. economics, biology,
sociology, ecology, and medicine. Methods and techniques for the mathematical
modelling of nonengineering systems. Analysis of nonlinear dynamic models.
Semester: 8/SS

Hours per Week: 2+1

Examination: written

Type: L + E

Prerequisites: 

Credits: 4.5

Thermodynamics of Mixtures
Thermodynamik der Gemische
Definitions. The chemical potential and the first law: the chemical potential,
Gibbs fundamental equation of mixtures, properties of the chemical potential,
the first law for systems with varying number of particles and the relation
between entropy and heat. Equation of state, Eulers equation and the equation
of GibbsDuhem. Phase rule and phase diagrams. Thermodynamic potentials and
quantities for describing the behaviour of mixtures: thermodynamic potentials,
partial molar quantities, fugacity and fugacity coefficient, activity and activity
coefficient, quantities of mixing and excess quantities, empirical correlations
for the free excess enthalpy. Phase splitting and phase equilibrium.
Semester: 5/WS

Hours per Week: 2+1

Examination: oral

Type: L + E

Prerequisites: 

Credits: 4.5

Dynamics of Descrete Event Systems
Dynamik Ereignisdiskreter Systeme
Introduction and Overview, Automata, Formal Languages, Petri Nets, Behavioural
Systems Theory, Supervisory Control Theory, RamadgeWonham Theory)
Semester: 5/WS

Hours per Week: 2+1

Examination: written

Type: L+E

Prerequisites: 

Credits: 4.5

Automatic Control I
Regelungstechnik I
Basic concepts of automatic control engineering, formulation of differential
equations for loop elements, time and frequency domain analysis of linear systems,
Laplace transformation, transfer function, frequency response, Bode diagram,
criteria for stability, Nyquist stability criterion, root locus technique, design
of closed loop systems, nonlinear control (describing function).
Semester: 5/WS

Hours per Week: 3+1

Examination: written

Type: L + E

Prerequisites: 

Credits: 6

Automatic Control II
Regelungstechnik II
State space description for dynamic systems, nonlinear controller design in
the state space, Ljapunows criterion of stability, design of control strategies
in the state space (pole placement, modal control, deadbeat controller), optimal
control, Hamiltonian theory, Pontryagins maximum principle, state observers.
Semester: 6/SS

Hours per Week: 3+1

Examination: written

Type: L + E

Prerequisites: 

Credits: 6

Control Technology I
Steuerungstechnik I
Historical review on automation technology. Classification of control systems
with respect to different energy sources: mechanical/ hydraulic/ pneumatic/
electrical control systems. Systematic circuit design: combinatorial and sequential
networks. Programmable logic controllers (PLC): mode of operation and hardware
structure, programming methods, project engineering and commissioning.
Semester: 5/WS

Hours per Week: 2

Examination: written

Type: L

Prerequisites: 

Credits: 3

Metrology III
Meßtechnik III
Supplement to the courses Metrology I + II. Topics: electrochemical measuring
principles, digital image processing, nondestructive material inspection.
Semester: 6/SS

Hours per Week: 2

Examination: certificate

Type: L

Prerequisites: 

Credits: 3

Simulation Engineering
Simulationstechnik
Introduction to digital simulation of dynamic systems; iterative methods for
solving algebraic equations; numerical integration methods for solving ordinary
differential equations, differential and algebraic equations and boundary value
problems; numerical solution of partial differential equations; simulation tools
ISRSIM and ACSL; discreteevent systems; simulation tool SIMAN for discreteevent
systems. The practical computer work gives students the chance to work on tasks
studied in the exercises using personal computers and the simulation tools ISRSIM,
MATLAB, ACSL, and SIMAN.
Semester: 5/WS

Hours per Week: 3+1

Examination: written

Type: L + E + P

Prerequisites: 

Credits: 6

Realtime Data Processing
EchtzeitDatenverarbeitung
Digital electronics: Boolean algebra, gates, integrated circuits, logic families,
memories, coding, sequential logic, dependency notation, PLDs, areas of application
of digital VLSI circuits. Process interfaces: D/A and A/D converters, application
of converters in sampled data systems (quantization noise, sampling theorem,
oversampling), frequency converters (VFC, FVC, PLL). Systems for realtime data
processing: structural elements (LIFO, FIFO, interrupts, DMA, memory management,
cache), interfaces (synchronization, error protection, example: IEC bus), system
examples (digital signal processors, FFT, distributed process control systems).
Software: processes, realtime languages, realtime operating systems, synchronization
(busy waiting, semaphore, rendezvous, clock synchronization), communication
(pipe, mailbox, shared memory), process and experiment automation, realtime
language PEARL. Digital filters: overview, examples, Ztransform, bilinear transform,
structure of FIR filters, design of FIR filters, filter order, interpolation,
digital PID controller.
Semester: 5/WS

Hours per Week: 3+1

Examination: written

Type: L + E

Prerequisites: 

Credits: 6

Stochastic Systems
Stochastische Systeme
Random signals, mean value function, correlation function, spectral density,
white noise, form filters, stationary Gaussian random signals in linear systems,
stochastic differential equations, covariance equation, KalmanBucyFilter,
optimal control of linear stochastic systems.
Semester: 6/SS

Hours per Week: 2+1

Examination: written

Type: L + E

Prerequisites: 

Credits: 4.5

Adaptive and Learning Systems
Adaptive und lernende Systeme
Introduction. Decision processes; performance measures; explicit and implicit
evaluation of performance measures. Modelreference adaptive systems; (strict)
positivity; hyperstability. Selftuning regulators; adaptive pole placement.
Neural networks; neural controllers.
Semester: 6 or 8/SS

Hours per Week: 3+1

Examination: written

Type: L + E

Prerequisites: 

Credits: 6

Control of Distributed Parameter Systems
Regelung verteilter Systeme
Technical and nontechnical examples of plants with distributed parameters.
Mathematical modelling, solution techniques for partial differential equations,
input/ output behaviour, measurement and control devices. Structure of closed
loop. Controller design. Statespace description. Stability. Controllability.
Observability. Optimal control. Observers. Simulation techniques for systems
described by partial differential equations.
Semester: 6 or 8/SS

Hours per Week: 2+2

Examination: oral

Type: L + E

Prerequisites: 

Credits: 6

Control of Nonlinear Systems
Regelung nichtlinearer Systeme
Fundamentals of nonlinear systems. Analysis and synthesis of time variant
systems. Lie derivatives and nonlinear systems. Stability and centre manifold
theorem. Controllability. Observability. Nonlinear normal forms. Asymptotic
tracking. Exact input/ output and input/ state linearization. Decoupling, flat
systems, nonlinear observers. Sliding mode control.
Semester: 7/WS

Hours per Week: 3+1

Examination: oral

Type: L + E

Prerequisites: 

Credits: 6

Discretetime Control Systems
Diskrete Regelsysteme
Discrete digital control (using process control computers), difference equations,
sampling theorem, ztransform, statespace equations, onlineidentification,
deterministic and stochastic signals, correlation analysis, parameter estimation,
design of discrete control systems, optimal control algorithms.
Semester: 7/WS

Hours per Week: 2+1

Examination: written

Type: L + E

Prerequisites: 

Credits: 4.5

Dynamic Filtering Methods
Dynamische Filterverfahren
KalmanBucy filters for timecontinuous, timediscrete and continuousdiscrete
problems; factorization methods. Nonlinear filtering methods; linearized and
extended Kalman filters; point mass filters. Adaptive filtering methods; covariance
matching method; correlation method. Multiple filtering methods.
Semester: 6 or 8/SS

Hours per Week: 2+1

Examination: written

Type: L + E

Prerequisites: 

Credits: 4.5

Fuzzy Methods
Fuzzy Methoden
Introduction. Fuzzy sets; fuzzy numbers; fuzzy arithmetic; linguistic variables;
fuzzy relations; fuzzy logic. Fuzzy controllers; design methods. Case studies.
Semester: 6 or 8/SS

Hours per Week: 2+1

Examination: written

Type: L + E

Prerequisites: 

Credits: 4.5

Identification of Dynamic Systems
Identifikation dynamischer Systeme
Signals, systems and their description; identifiability. Parametric identification;
(weighted) least squares methods; minimum variance estimation; instrumentalvariable
method; stochastic approximation methods; covariance methods. Nonparametric
identification; correlation methods; fast Fourier transform. Combined parameter
and state estimation; quasilinearization method; extended Kalman filter.
Semester: 6 or 8/SS

Hours per Week: 3+1

Examination: written

Type: L + E

Prerequisites: 

Credits: 6

LMIs in Control
This course will focus on system analysis and controller synthesis for linear
(parameter varying) systems based on recent developments in the area of Linear
Matrix Inequalitys (LMIs). LMIs allow to recast many control and analysis problems
in a unifying way and to combine several control objectives (multiobjective
design). Additionally, LMIS can be solved in a numerically efficient way. In
the second part we deal with the problem of model reduction for largescale
linear system.
Semester: 7/WS

Hours per Week: 3+1

Examination: oral

Type: L+E

Prerequisites: 

Credits: 6

Optimization Methods with Applications
Optimierungsverfahren mit Anwendungen
Optimization of functions with and without constraints; Lagrange multipliers;
KuhnTucker conditions; numerical methods. Optimization of functionals; Euler
differential equation; RitzGalerkin method. Dynamic optimization; Bellmans
principle of optimality; dynamic programming; Pontryagins maximum principle;
Riccati controllers.
Semester: 7/WS

Hours per Week: 3+1

Examination: written

Type: L + E

Prerequisites: 

Credits: 6

Research Methods in Control Engineering
The objective of this course is to present an introduction to the major considerations
and tasks involved in conducting a research project, and in particular in conducting
a research project in the area of control engineering. Some of the topics to
be covered include:
 Gathering the necessary information to guide you through your research project.
 Critically evaluate your own research and research carried out by others.
 Presenting scientific results (writing of a thesis, paper, report or research
proposal;
oral presentations).
 Project management skills.
The course is intended for students with good working knowledge and interest
in control engineering and may serve, for example, as preparation for carrying
out research for a diploma thesis.
Semester: 8/SS

Hours per Week: 2+2

Examination: oral

Type: L+E

Prerequisites: 

Credtis: 6

Robust Control
The course focuses on the analysis and controller synthesis of linear multivariable
systems under special consideration of robustness aspects. Among the controller
design methods treated are: Hinfinity control, mu optimal control, LQG techniques,
Loop Transfer Recovery and open loop shaping methods. The exercises comprise
of small projects in which the design and analysis methods are applied to practical
control problems.
Semester: 7/WS

Hours per Week: 3+1

Examination: oral

Type: L+E

Prerequisites: 

Credits: 6

