New robust stability and performance conditions based on parameter dependent multipliers

Author

Dettori, Marco ; Scherer, Carsten W.

Author_Institution

Dept. of Mech. Eng. Syst. & Control Group, Delft Univ. of Technol., Netherlands

Volume

5

fYear

2000

fDate

2000

Firstpage

4187

Abstract

This paper introduces a new robust stability and performance characterization for parameter dependent systems. The main idea is to jointly use parameter dependent Lyapunov functions and parameter dependent multipliers. It is shown that the novel tests can be easily specialized to the results that have been recently proposed in the literature and that have been derived in an independent fashion for discrete- and continuous-time systems. It is revealed that these characterization apply to system descriptions with rational parameter dependence, and we discuss in how far they extend to robust state-feedback controller synthesis. Various examples demonstrate the benefit of the proposed algorithms over previous approaches

Keywords

Lyapunov methods; continuous time systems; control system synthesis; discrete time systems; matrix algebra; robust control; state feedback; uncertain systems; Lyapunov function; continuous-time systems; discrete-time systems; linear matrix inequality; multipliers; parameter dependent systems; robust control; stability; state-feedback; uncertain systems; Control system synthesis; Control systems; Linear matrix inequalities; Lyapunov method; Mechanical engineering; Robust control; Robust stability; Robustness; System testing; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2001.914554

Filename

914554