Robust H∞ static output feedback control of discrete-time: Piecewise affine systems

Author

Qiu, Jianbin ; Feng, Gang ; Gao, Huijun ; Yang, Jie

Author_Institution

Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin, China

fYear

2009

fDate

9-11 Dec. 2009

Firstpage

206

Lastpage

211

Abstract

This paper presents three different methods on static output feedback controller design for a class of discrete-time piecewise affine systems based on a piecewise Lyapunov function. It is shown that the closed-loop system is asymptotically stable with guaranteed robust H_∞ performance, and the controller gains can be obtained by solving a set of linear matrix inequalities. Two simulation examples are also provided to illustrate the effectiveness of the proposed approaches.

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; discrete time systems; feedback; linear matrix inequalities; robust control; LMI; asymptotic stability; closed-loop system; controller design; discrete-time piecewise affine systems; linear matrix inequalities; piecewise Lyapunov function; robust H_{spl infin/} static output feedback control; Automatic control; Control systems; Linear matrix inequalities; Lyapunov method; Manufacturing automation; Output feedback; Piecewise linear techniques; Robust control; Robustness; Space technology;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2009. ICCA 2009. IEEE International Conference on

Conference_Location

Christchurch

Print_ISBN

978-1-4244-4706-0

Electronic_ISBN

978-1-4244-4707-7

Type

conf

DOI

10.1109/ICCA.2009.5410180

Filename

5410180