Course detail

Control Theory II

FSI-VA2-KAcad. year: 2015/2016

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.

Language of instruction

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

Guarantor

prof. RNDr. Ing. Tomáš Březina, CSc.

Department

Institute of Automation and Computer Science (ÚAI)

Learning outcomes of the course unit

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.

Prerequisites

To be well informed about the foundations of classical control theory. To be able to choose and use adequate methods of PID controller synthesis for the solution of the given tasks.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

Assesment methods and criteria linked to learning outcomes

In order to be awarded the course-unit credit students must prove 100% active participation in laboratory exercises and elaborate a paper on the presented themes. The exam is written and oral. In the written part a student compiles two main themes which were presented during the lectures and solves three examples. The oral part of the exam will contain discussion of tasks and possible supplementary questions.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The aim of the course is to formulate and establish a basic knowledge of modern control theory. To strengthen the knowledge by the understanding the context of the different methods of state controller synthesis. To learn the methods of the synthesis.

Specification of controlled education, way of implementation and compensation for absences

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.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Levine, W.S. (1996) : The Control Handbook, CRC Press, Inc., Boca Raton, Florida 1996 , ISBN 0-8493-8570-9
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.:: Automatizace-Automatické řízení, skriptim VUT FSI Brno, CERM 2002, ISBN 80-214-2087-1
Švarc,I.:Teorie automatického řízení, podpory FSI, www stránky 2003

Classification of course in study plans

  • Programme N2301-2 Master's

    branch M-AIŘ , 1 year of study, summer semester, compulsory
    branch M-AIŘ , 1 year of study, summer semester, compulsory

Type of course unit

 

Guided consultation

22 hod., optionally

Teacher / Lecturer

doc. Ing. Ivan Švarc, CSc.

Syllabus

1. State-space representation
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