Czech

Not applicable.

The student are able to use algebraic methodes of controller design and they know how to design robust controller.

The subject knowledge on the Bachelor´s degree level is requested.

Not applicable.

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations. Materials for lectures and exercises are available for students from web pages of the course. Students have to write a single project/assignment during the course.

Exercises. Individual project. Max. 30 points.
Written exam. Max 70 points.

1. Introduction into problematic.
2. Algebraic theory. Solution of polynomial equation, general solution, special solutions, solvability condition.
3. Application of algebraic methods to simple controller designs. Pole placement method, exact model matching problem, the group of stabilizing controllers.
4. Sensitivity function shaping design. Sensitivity function and modulus margin, sensitivity function template, additional polynomials in controller and in its design.
5. Time optimal discrete control. Feedforward control,
6. Quadraticaly optimal discrete control, 1DOF, 2DOF, finite and stable time optimum control with nonzero initial conditions.
7. Stochastic control. Minimum variance control, the evaluation of MVC controllers, generalized minimum variance control.
8. Interval polynomials. Zero exclusion principle, value sets, Mikhailov-Leonard stability criteria, Kharitonov polynomials.
9. Inroduction into robust control. The notion of robustness, norms of the system and signal, LFT, system matrices and their operations.
10. Description of uncertainties. Parametric and nonparametric uncertainties, their description in Matlab Simulink.
11. Mixed sensitivity design, GS controller. Similarities with sensitivity function shaping method.
12. Course summary

Not applicable.

To introduce to the students universal tool for solving tasks of automatic control and to became familiar with robust control. and CASE systems.

The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.

Not applicable.

Not applicable.

Doyle, Francis, Tannenbaum: Feedback Control Theory, Macmillan Publishing (EN)
Kučera:Algebraická teorie reg.,Academia Press (CS)
Scherer, Weiland: Linear matrix inequalities in control. DISC, 2000 (EN)
Štecha, Havlena: Moderní teorie řízení, ČVUT Praha (CS)

Not applicable.