Course detail
Control Theory II
FSI-VA2-KAcad. year: 2023/2024
The introduction to the modern control theory is presented in the course. We focus on linear time-invariant systems (LTI) without delay with more degree of freedom in the state space and on the synthesis of state controllers. The interpretation is demonstrated through the illustrations from different application areas. Synthesis of control systems can be easily carried out with the use of Matlab Control System Toolbox.
The course completes theory of nonlinear systems and design of their control.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Entry knowledge
Rules for evaluation and completion of the course
Attendance and activity at the seminars are required. One absence can be compensated for by attending a seminar with another group in the same week, or by elaboration of substitute tasks. Longer absence can be compensated for by the elaboration of compensatory tasks assigned by the tutor.
Aims
To be well informed about the foundations of modern control theory. To be able to choose and use adequate methods of state controller synthesis for the solution of the given tasks.
Study aids
Prerequisites and corequisites
Basic literature
Schwarzenbach,J.-Gill,F.K.:Syatem Modelling and Control, Butterworth-Heinemann, Oxford 2002, ISBN 0 340 54379 5
Vegte, V.D.J.: Feedback Control Systems, Prentice-Hall, New Jersey 1990, ISBN 0-13-313651-5
Recommended reading
Švarc,I.:Teorie automatického řízení, podpory FSI, www stránky 2003
Classification of course in study plans
- Programme N-AIŘ-K Master's 1 year of study, summer semester, compulsory
Type of course unit
Guided consultation in combined form of studies
Teacher / Lecturer
Syllabus
2. State model conversions
3. Controllability, observability and pole placement
4. Design of control systems
5. State observer
6. Quadratic optimal control systems
7. Robust control systems
8. Robust control system synthesis
9. Synthesis of control system with observer
10. Nonlinear system description, typical nonlinearities
11. State-plane method,
12. Methods of linearization, verification of linearized model
13. Control system synthesis
Laboratory exercise
Teacher / Lecturer
Syllabus
2. State control of DC motor without integration.
3. State control of DC motor with integration.
4. Credit
Guided consultation
Teacher / Lecturer
Syllabus
2. State-space representation of more complex mechanical and electrical systems using MATLAB/Simulink
3. Controllability, observability of technical systems in status space, pole placement method with use of MATLAB, illustrations of technical systems
4. Synthesis in state space, design of state controller
5. Design of state space controller with state observer. Design of state space controller with state observer and fault compensation
6. Quadratic optimal controller design
7. Robust controller design
8. Modelling of nonlinear system using the state plane method
9. Models linearization, behavior of linearized model assessment. Control system design with linearized model.