The students are familiar with the basic types of uncertainties. They are able to analyze the robust stability of the systems with structured uncertainty. They are able to design controllers for the systems with interval parametric uncertainties. The students are able to use linear matrix inequalities for robust stability analysis and robust controller design. The students are familiar with unstructured uncertainty. They are able to analyze the robust stability of the systems with unstructured uncertainty and they are able to design robust controllers for the systems with unstructured uncertainty.
Prerequisites for registration:
none
Course contents:
Introduction to the robust control
Systems with the single parameter uncertainty
Systems with the interval parametric uncertainty
Robust controller design for the systems with interval uncertainty
Systems with the linear affine uncertainty
Stability of the polytopic systems
Multilinear uncertainty
Generalized Kharitonov theorem
LMI in robust control
Robust pole-placement method
Unstructured uncertainty - analysis
Unstructured uncertainty - synthesis
Recommended or required reading:
Basic:
VESELÝ, V. – HARSÁNYI, L. Robustné riadenie dynamických systémov. Bratislava : STU v Bratislave, 2008. 126 s. ISBN 978-80-227-2801-0.
ZHOU, K. – DOYLE, J C. Essentials of robust control. Upper Saddle River : Prentice Hall, 1998. 411 s. ISBN 0-13-525833-2.
BARMISH, B. New Tools for Robustness of Linear Systems. New York : Macmillan Publishing Company, 1994. 394 s. ISBN 0-02-306055-7.