State-Feedback Controller Design for Discrete-Time Fuzzy Systems with Input Saturation Using Fuzzy Weighting-Dependent Lyapunov Functions

Author

Kim, Sung Hyun ; Park, PooGyeon ; Lee, Chang Hee

Author_Institution

Pohang Univ. of Sci. & Technol., Pohang

Volume

4

fYear

2007

fDate

24-27 Aug. 2007

Firstpage

177

Lastpage

181

Abstract

This paper proposes a state-feedback fuzzy control law for discrete-time Takagi-Sugeno (TS) fuzzy systems with input saturation, where the used criterion is the minimization of the H_infin norm associated with a fuzzy weighting-dependent Lyapunov function. To address the input saturation problem, this paper first formulates a set invariance condition for the TS fuzzy systems in terms of linear matrix inequalities (LMIs) with one prescribed scalar. And then there is subsequently established an H_infin control law.

Keywords

H^infin control; Lyapunov methods; control system synthesis; discrete time systems; fuzzy control; linear matrix inequalities; state feedback; H_infin state-feedback controller design; LMI; discrete-time Takagi-Sugeno; discrete-time fuzzy systems; fuzzy weighting-dependent Lyapunov functions; linear matrix inequalities; set invariance condition; Actuators; Control systems; Design engineering; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Nonlinear systems; Symmetric matrices; Takagi-Sugeno model;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery, 2007. FSKD 2007. Fourth International Conference on

Conference_Location

Haikou

Print_ISBN

978-0-7695-2874-8

Type

conf

DOI

10.1109/FSKD.2007.530

Filename

4406376