Robust H∞ output feedback control of discrete-time switched systems via a new linear matrix inequality formulation

Author

Li, Jiao ; Liu, Yuzhong ; Mei, Rui ; Li, Bo

Author_Institution

Sch. of Sci., Hebei North Univ., Zhangjiakou, China

fYear

2010

Firstpage

3377

Lastpage

3382

Abstract

The robust H_∞ output feedback control problem for uncertain discrete-time switched systems is investigated. A new linear matrix inequality(LMI) formulation of robustly stable and H_∞ performance for the switched systems under arbitrary switching is obtained by using switched Lyapunov function method. The new LMI parameterized by a scalar variable which allows extra degree of freedom for design problems and stability analysis, thus, a less conservative stability condition is established. Based on the result, a dynamic output feedback controller is developed for the discrete-time switched systems. Finally, a numerical example is given to illustrate the effectiveness of the proposed result in this paper.

Keywords

H^∞ control; Lyapunov methods; control system synthesis; discrete time systems; feedback; linear matrix inequalities; robust control; time-varying systems; uncertain systems; H∞ performance; LMI formulation; arbitrary switching; design problem; dynamic output feedback controller; linear matrix inequality; robust H∞ output feedback control; scalar variable; stability analysis; stability condition; switched Lyapunov function; uncertain discrete-time switched system; Bismuth; Output feedback; Robustness; Silicon; Stability analysis; Switched systems; H∞ performance; LMI; discrete-time switched systems; dynamic output feedback; robustly stable;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2010 8th World Congress on

Conference_Location

Jinan

Print_ISBN

978-1-4244-6712-9

Type

conf

DOI

10.1109/WCICA.2010.5553817

Filename

5553817