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Control Theory

Type of study Doctoral
Language of instruction Czech
Code 450-6013/01
Abbreviation
Course title Control Theory
Credits 10
Coordinating department Department of Cybernetics and Biomedical Engineering
Course coordinator doc. Ing. Štěpán Ožana, Ph.D.

Subject syllabus

Lectures:
State-space and input-output representations. Analysis of Control Systems in State Space . Solution of State Equations . State Transition Matrix . State Variable Diagrams.
Solution of State Equations of Discrete-time Control Systems. State Transition Matrix . State Variable Diagrams. Relationship between Continuos and Discrete-time Systems. Discretization of Continuos-time Systems. Sampled Data Systems. Frequency Analysis of Sampling.

Nonlinear Feedback Control Systems . Characteristics of Nonlinearities. Methods Available for Analyzing Nonlinear Feedback Control Systems . Linearizing Approximations .
Nonlinear Control Systems Stability . Liapunov Stability Criteria. Popov Stability Criterion . Describing-function Analysis Nonlinear Feedback Control Systems .
Optimal Control Systems . Characteristic of the Optimal Control Problem . Optimality Criterions . Linear Programming . Numerical Methods Searching of Extremum of Functions.
Technological Processes Static Optimization . Extremal controllers . Dynamic Optimization . Calculus of Variations . Pontryagin?s Minimum Principle . Dynamic Programming .
Adaptive Systems Structure. Learning Systems Structure. Adaptive Identification and Control with Model. Adaptation Methods . Pattern Recognition . Expert System Using .


Projects:
All Ph.D. students received individual project of selected part of subject.

Literature

K.J. Astrom, R.M. Murray: Feedback Systems. Princeton University Press 2008
G.F. Franklin, J.D. Powell, A.E: Feedback Control of Dynamic Systems. Adison-Wesley 2002

Advised literature

Franklin,G.F.,at all.:Digital Control of Dynamic Systems. Adison-Wesley 1992.
Lewis,F.L.: Optimal Control. John Wiley&Sons 1992
Shinners,S.M.:Modern Control System Theory and Design. John Wiley&Sons 1986
Ogata,K.:Modern Control Engineering. Prentice-Hall 1990.
Ogata,K.:Discrete-time Control Systems.Prentice-Hall 1987.