Robust H_2/H_8 Static Output Feedback Control for Uncertain Discrete-Time Fuzzy Systems

Author

Ma, Qingliang ; Yang, Haiyan ; Fang, Huayuan ; Cai, Zongping

Author_Institution

Dept. of Autom., Xi´´an Res. Inst. of High-tech, Xi´´an, China

Volume

2

fYear

2010

fDate

13-14 Oct. 2010

Firstpage

326

Lastpage

329

Abstract

The problem of robust H₂/H_∞ static output feedback control is investigated for a class of uncertain discrete-time fuzzy systems. By using basis-dependent Lyapunov function, a general mixed H₂/H_∞ performance criterion is proposed, which separates Lyapunov matrices from system matrices. Based on this, a sufficient condition for the existence of robust H₂/H_∞ fuzzy static output feedback controller is derived in terms of matrix inequalities. Furthermore, an iterative linear matrix inequality (ILMI) algorithm is developed to design optimal fuzzy controller. The control design approach enable one to employ different Lyapunov functions to satisfy different design objectives due to the extra degrees of freedom, which is expected to reduce the design conservativeness.

Keywords

H^∞ control; Lyapunov methods; discrete time systems; feedback; fuzzy control; iterative methods; linear matrix inequalities; robust control; uncertain systems; Lyapunov matrices; basis dependent Lyapunov function; iterative linear matrix inequality; optimal fuzzy controller; robust H₂-H_∞ static output feedback control; system matrices; uncertain discrete time fuzzy systems; Bismuth; Fuzzy systems; Hafnium; Linear matrix inequalities; Lyapunov methods; Output feedback; Robustness; basis-dependent Lyapunov function; fuzzy control; linear matrix inequality; mixed H2/H8 control;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent System Design and Engineering Application (ISDEA), 2010 International Conference on

Conference_Location

Changsha

Print_ISBN

978-1-4244-8333-4

Type

conf

DOI

10.1109/ISDEA.2010.189

Filename

5743432