Robust H∞ control for uncertain state-delayed linear systems with Markovian jumping parameters

Author

Palhares, R.M. ; de Souza, C.E. ; Peres, P.L.D.

Author_Institution

Grad. Program in Electr. Eng., Pontifical Catholic Univ. of Minas Gerais, Belo Horizonte, Brazil

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

1285

Lastpage

1290

Abstract

The problem of robust H_∞ state-feedback control design for a class of continuous-time linear systems with Markovian jumping parameters and multiple time-varying delays at the states, and subject to uncertain parameters is addressed in this paper. It is assumed that the jumping parameters are available and the uncertain parameter belong to given convex bounded domains (polytope type uncertainty). A delay-independent sufficient condition assuring robust mean square stability and a prescribed level of H_∞ disturbance attenuation for the closed-loop system is established in terms of linear matrix inequalities.

Keywords

H^∞ control; Markov processes; closed loop systems; continuous time systems; control system synthesis; delays; feedback; linear matrix inequalities; linear systems; robust control; time-varying systems; uncertain systems; H∞ disturbance attenuation; Markovian jumping parameters; closed-loop system; continuous-time linear systems; convex bounded domains; delay-independent sufficient condition; linear matrix inequalities; multiple time-varying delays; polytope type uncertainty; robust H∞ state-feedback control design; robust mean square stability; uncertain parameters; uncertain state-delayed linear systems; Attenuation; Closed loop systems; Linear systems; Robustness; Symmetric matrices; Uncertainty; Delay-independent stability; Linear matrix inequalities; Markovian jumping parameters; Robust H∞ control; Time-delay systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7076094