450-6013/02 – Control Theory (TŘ)
| Gurantor department | Department of Cybernetics and Biomedical Engineering | Credits | 10 |
| Subject guarantor | doc. Ing. Štěpán Ožana, Ph.D. | Subject version guarantor | doc. Ing. Štěpán Ožana, Ph.D. |
| Study level | postgraduate | Requirement | Choice-compulsory |
| Year | | Semester | winter + summer |
| | Study language | English |
| Year of introduction | 2015/2016 | Year of cancellation | |
| Intended for the faculties | FEI | Intended for study types | Doctoral |
Subject aims expressed by acquired skills and competences
The goal of subject is introduce students on control systems design. This part is needed for studying the branch of study Electrical Machines, Apparatus and Drives. Students will be ready for practical analyzes and designs of linear and nonlinear feedback control systems using computers and simulation program MATLAB and SIMULINK. They will be also ready for practical designs of optimal and adaptive feedback control systems.
Teaching methods
Lectures
Individual consultations
Project work
Summary
There are explaining designs of continuos-time and discrete-time linear control systems. Learners are introduce on nonlinear feedback control systems analyze and design - base nonlinear characteristics, stability and design. Learners are introducing also on optimal control systems - methods of optimization and their using. In the last part learners are introduce on adaptive and learning control systems.
Compulsory 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
Recommended 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.
Way of continuous check of knowledge in the course of semester
Verification of study:
Tutorial of assigned individual projects.
E-learning
Other requirements
There are not defined other requirements for student
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Lectures:
State Variable Representation. 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?s Stability Criteria. Popov?s 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.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks