Stabilization Analysis of Single-Input Polynomial Fuzzy Systems using Control Lyapunov Functions

被引：0

作者：

Furqon, Radian ^{[1
]}

Chen, Ying-Jen ^{[1
]}

Tanaka, Motoyasu ^{[1
]}

Tanaka, Kazuo ^{[1
]}

Wang, Hua O. ^{[2
]}

机构：

[1] Univ Electrocommun, Dept Mech Engn & Intelligent Syst, Chofu, Tokyo 1828585, Japan

[2] Boston Univ, Dept Mech Engn, Boston, MA 02215 USA

来源：

2014 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE) | 2014年

关键词：

STABILITY ANALYSIS; PERFORMANCE; DESIGN;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：907 / 912

页数：6

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