A New Parameter-Dependent Lyapunov Function Approach for Robust Control

被引:0
|
作者
Ho, Cheng-Chang [1 ]
Chou, Yung-Shan [2 ]
Chang, Fan-Ren [1 ]
机构
[1] Natl Taiwan Univ, Dept Elect Engn, Taipei, Taiwan
[2] Tamkang Univ, Dept Elect Engn, New Taipei 25137, Taiwan
关键词
Parameter-dependent Lyapunov function; Hoo control; Fuzzy systems; Linear matrix inequality (LMI); FUZZY CONTROL-SYSTEMS; STABILITY ANALYSIS;
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
In this paper, we extends the existing results on the H infinity control for continuous-time T-S (Takagi-Sugeno) fuzzy systems. A new fuzzy Lyapunov function is considered for ensuring system stability and guaranteed H infinity performance with parallel distributed compensation (PDC). In addition, two slack variables are introduced to provide extra free dimensions in the solution space for the H infinity control problem. This together with the freedom provided by the fuzzy Lyapunov function directly leads to performance improvement and reduction of conservativeness. A numerical example of the control of an inverted pendulum and cart system is given to demonstrate the effectiveness of the proposed method. Comparisons with some of the existing methods are provided.
引用
收藏
页码:50 / 55
页数:6
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