SOS-based Fuzzy Stability Analysis via Homogeneous Lyapunov Functions

被引：0
|
作者：
Lo, Ji-Chang [1 ]
Lin, Yu-Tse [1 ]
Chang, Wei-Sheng [1 ]
Lin, Fong-Yi [1 ]
机构：
[1] Natl Cent Univ, Mech Engn, Jhongli, Taiwan
来源：
2014 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE) | 2014年
关键词：
Polynomial TS Fuzzy Models; Homogeneous Lyapunov function; Sum Of Squares (SOS); H-INFINITY CONTROL; NONLINEAR-SYSTEMS; SUM; CONTROLLER; 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：
The class of polynomial fuzzy-model-based (PFMB) control systems has gained considerable attention in fuzzy control. The PFMB control system under consideration often assumes that the Lyapunov functions are quadratic, allowing use of semidefinite programming and the sum of squares (SOS) decomposition. This paper introduces a homogeneously polynomial Lyapunov function for a stabilization problem in which the state feedback synthesis based on SOS decomposition is proposed. To verify the analytical theories regarding PFMB stabilization with the proposed method, two examples are demonstrated to show the effectiveness of the proposed approach.
引用
收藏
页码：2300 / 2305
页数：6
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