Delay-dependent robust stabilizability of singular systems with delays

Author

Boukas, E.K.

Author_Institution

Dept. of Mech. Eng., Ecole Polytech de Montreal, Que., Canada

Volume

1

fYear

2005

fDate

29 July-1 Aug. 2005

Firstpage

13

Abstract

This paper deals with the class of continuous-time singular uncertain linear systems with time delay in the state vector. The uncertainties we are considering are of norm bounded type. Delay-dependent sufficient conditions on robust stability and robust stabilizability are developed. A design algorithm for a memoryless state feedback controller which guarantees that the closed-loop dynamics are regular, impulse free and robustly stable is proposed in terms of the solutions to linear matrix inequalities (LMIs).

Keywords

closed loop systems; continuous time systems; control system synthesis; delays; linear matrix inequalities; linear systems; memoryless systems; stability; state feedback; uncertain systems; closed-loop dynamics; continuous-time singular uncertain linear systems; delay-dependent robust stabilizability; linear matrix inequalities; memoryless state feedback controller design algorithm; norm bounded type uncertainties; state vector; time delay; Algorithm design and analysis; Delay effects; Delay systems; Linear systems; Robust stability; Robustness; State feedback; Sufficient conditions; Uncertainty; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechatronics and Automation, 2005 IEEE International Conference

Print_ISBN

0-7803-9044-X

Type

conf

DOI

10.1109/ICMA.2005.1626515

Filename

1626515