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
收藏
页码：907 / 912
页数：6
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