Switched control of type-2 polynomial discrete fuzzy systems based on SOS

Author

Tiechao Wang ; Jianqiang Yi ; Ding Wang

Author_Institution

Coll. of Electr. Eng., Liaoning Univ. of Technol., Jinzhou, China

fYear

2013

fDate

23-25 July 2013

Firstpage

108

Lastpage

113

Abstract

This paper presents a switched stabilization method of discrete interval type-2 fuzzy systems via sum-of-squares (SOS). Based on polynomial Lyapunov functions, we derive stabilization conditions to design stable polynomial interval type-2 fuzzy switched controllers. The stabilization conditions are represented in terms of SOS, and the controllers are numerically (partially symbolically) solved via the recent developed SOSTOOLS. In addition, polynomial discrete fuzzy systems and controllers are the generalization of discrete Takagi-Sugeno (T-S) fuzzy systems and controllers. A numerical simulation example is provided to illustrate the validity of the control method.

Keywords

Lyapunov methods; control system synthesis; discrete systems; fuzzy control; polynomials; stability; time-varying systems; SOSTOOLS; discrete Takagi-Sugeno fuzzy system generalization; discrete interval type-2 fuzzy systems; polynomial Lyapunov functions; polynomial interval type-2 fuzzy switched controller design; sum-of-squares; switched stabilization method; type-2 polynomial discrete fuzzy systems; Educational institutions; Fuzzy systems; Polynomials; Switches; Symmetric matrices; Vectors; Interval type-2 fuzzy logic; SOS; Switched control;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery (FSKD), 2013 10th International Conference on

Conference_Location

Shenyang

Type

conf

DOI

10.1109/FSKD.2013.6816176

Filename

6816176