Robustness design of nonlinear dynamic systems via fuzzy linear control

被引:323
作者
Chen, BS [1 ]
Tseng, CS [1 ]
Uang, HJ [1 ]
机构
[1] Natl Tsing Hua Univ, Dept Elect Engn, Hsinchu 30043, Taiwan
关键词
H-infinity robust control; linear matrix inequality; nonlinear fuzzy observer; Takagi-Sugeno fuzzy control;
D O I
10.1109/91.797980
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This study introduces a fuzzy linear control design method for nonlinear systems with optimal H-infinity robustness performance. First, the Takagi and Sugeno fuzzy linear model is employed to approximate a nonlinear system. Next, based on the fuzzy linear model, a fuzzy controller is developed to stabilize the nonlinear system, and at the same time the effect of external disturbance on control performance is attenuated to a minimum level. Thus based on the fuzzy linear model, H-infinity performance design can be achieved in nonlinear control systems. In the proposed fuzzy linear control method, the fuzzy linear model pro,ides rough control to approximate the nonlinear control system, while the H-infinity scheme provides precise control to achieve the optimal robustness performance. Linear matrix inequality (LMI) techniques are employed to solve this robust fuzzy control problem, In the case that state variables are unavailable, a fuzzy observer-based H-infinity control is also proposed to achieve a robust optimization design for nonlinear systems. A simulation example is given to illustrate the performance of the proposed design method.
引用
收藏
页码:571 / 585
页数:15
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