Stabilization analysis of single-input polynomial fuzzy systems using control Lyapunov functions

Author

Furqon, Radian ; Ying-Jen Chen ; Tanaka, Mitsuru ; Tanaka, Kiyoshi ; Wang, Hua O.

Author_Institution

Dept. of Mech. Eng. & Intell. Syst., Univ. of Electro-Commun., Chofu, Japan

fYear

2014

fDate

6-11 July 2014

Firstpage

907

Lastpage

912

Abstract

This paper presents a novel method for stabilization analysis of the single-input polynomial fuzzy systems using a sum of squares (SOS) approach to construct control Lyapunov functions (CLFs) for the systems. First, we represent a nonlinear system as a polynomial fuzzy system. Then, sufficient conditions in SOS terms for a positive definite function to become a CLF is presented. We solve the sufficient conditions using SOS optimization technique to construct the CLF. Finally, after a CLF is constructed, the controller for the system is designed using Sontag´s formula. To illustrate the validity of the proposed approach, a design example is provided.

Keywords

Lyapunov methods; control system synthesis; fuzzy systems; nonlinear control systems; optimisation; stability; CLF; SOS approach; SOS optimization technique; Sontag formula; Stabilization Analysis; control Lyapunov functions; nonlinear system; polynomial fuzzy system; positive definite function; single-input polynomial fuzzy systems; sum-of-square approach; Analytical models; Control design; Fuzzy systems; Lyapunov methods; Nonlinear systems; Numerical models; Polynomials;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems (FUZZ-IEEE), 2014 IEEE International Conference on

Conference_Location

Beijing

Print_ISBN

978-1-4799-2073-0

Type

conf

DOI

10.1109/FUZZ-IEEE.2014.6891740

Filename

6891740