Relaxation Analysis via Line Integral

被引:8
作者
Lo, Ji-Chang [1 ]
Zhang, Chen-Mou [1 ]
机构
[1] Natl Cent Univ, Jhongli, Taiwan
来源
2009 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3 | 2009年
关键词
H-infinity control; Takagi-Sugeno fuzzy model; Common P; Relaxation; Premise-dependent Lyapunov; Linear matrix inequality; LYAPUNOV FUNCTION-APPROACH; CONTINUOUS-TIME SYSTEMS; FUZZY CONTROL; QUADRATIC STABILITY; STABILIZATION; OBSERVERS; DESIGN; MODEL;
D O I
10.1109/FUZZY.2009.5277423
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, sufficient LMI conditions for the H-infinity state feedback control synthesis of fuzzy control systems consisting of Takagi-Sugeno fuzzy models are proposed for continuous fuzzy systems. Based on a premise-dependent Lyapunov function, we release the conservatism that commonly exists in the common P approach. Particularly, the restriction embedded in continuous-time systems on derivative of mu is removed by introducing Lie derivative to the Lyapunov approach. It is shown that the slack variables employed in this paper provide additional feasibility in solving the H-infinity stabilization problem of fuzzy control systems. Consequently, the stabilization conditions are shown to be more relaxed than others in the existing literature. Numerical simulations appear promising for the proposed method and illuminate the reduction of conservatism clearly.
引用
收藏
页码:1264 / 1269
页数:6
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