Robust stability and stabilizability of jump linear uncertain system with mode-dependent time-delays

Author

Boukas, E.K. ; Liu, Z.K.

Author_Institution

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

Volume

2

fYear

2001

fDate

2001

Firstpage

884

Abstract

The paper studies the class of uncertain linear systems with time-delay and Markov jump disturbance, in which the time-delay is assumed to be dependent on the system mode. An LMI-based condition for this class of system to be robustly stable is established. Sufficient conditions for the robust stabilizability under state feedback controller is developed and LMI-based methods to design state feedback are proposed. A numerical example is worked out to show the usefulness of the theoretic results

Keywords

Markov processes; delays; linear systems; matrix algebra; robust control; state feedback; uncertain systems; LMI-based condition; LMI-based methods; Markov jump disturbance; Markov process; jump linear uncertain system stabilizability; linear matrix inequality; mode-dependent time-delays; robust stability; state feedback; state feedback controller; sufficient conditions; system mode; theoretic results; uncertain linear systems; Linear systems; Metals industry; Robust control; Robust stability; Robustness; State feedback; Sufficient conditions; Symmetric matrices; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2001. Proceedings of the 2001

Conference_Location

Arlington, VA

ISSN

0743-1619

Print_ISBN

0-7803-6495-3

Type

conf

DOI

10.1109/ACC.2001.945830

Filename

945830