Stability and stabilization of switched linear discrete-time systems with polytopic uncertainties

Author

Gao, Huijun ; Zhang, Lixian ; Shi, Peng ; Mou, Shaoshuai ; Wang, Changhong

Author_Institution

Dept. of Electr. & Comput. Eng., Alberta Univ., Edmonton, Alta.

fYear

2006

fDate

14-16 June 2006

Abstract

In this paper, the problems of stability and stabilization of switched linear discrete-time systems with polytopic uncertainties are investigated. A switched parameter-dependent quadratic Lyapunov function is proposed, by which the stability conditions are derived and formulated in terms of a set of linear matrix inequalities. Based on the stability result, control synthesis is then considered and a stabilizing state-feedback controller is obtained by solving a convex optimization problem subject to linear matrix inequalities. Both mode-dependent and parameter-dependent ideas are used in stability analysis and controller design for the underlying systems. Numerical examples are given to show the less conservativeness and the potential of the obtained theoretic results

Keywords

Lyapunov methods; control system synthesis; convex programming; discrete time systems; linear matrix inequalities; linear systems; state feedback; uncertain systems; control synthesis; controller design; convex optimization; linear matrix inequalities; polytopic uncertainties; stability analysis; state-feedback controller; switched linear discrete-time systems; switched parameter-dependent quadratic Lyapunov function; Control system synthesis; Control systems; Linear matrix inequalities; Lyapunov method; Robust control; Space technology; Stability; Switched systems; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2006

Conference_Location

Minneapolis, MN

Print_ISBN

1-4244-0209-3

Electronic_ISBN

1-4244-0209-3

Type

conf

DOI

10.1109/ACC.2006.1657675

Filename

1657675