Robust H∞ Control for a Class of Nonlinear Distributed Parameter Systems via Proportional-Spatial Derivative Control Approach

被引:12
|
作者
Yang, Cheng-Dong [1 ]
Qiu, Jianlong [2 ]
Wang, Jun-Wei [3 ]
机构
[1] Linyi Univ, Sch Informat, Linyi 276005, Peoples R China
[2] Linyi Univ, Sch Sci, Linyi 276005, Peoples R China
[3] Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
基金
中国国家自然科学基金;
关键词
OBSERVER-BASED CONTROL; FUZZY CONTROL; STABILIZATION; STABILITY; DESIGN;
D O I
10.1155/2014/631071
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper addresses the problem of robust H-infinity control design via the proportional-spatial derivative (P-sD) control approach for a class of nonlinear distributed parameter systems modeled by semilinear parabolic partial differential equations (PDEs). By using the Lyapunov direct method and the technique of integration by parts, a simple linear matrix inequality (LMI) based design method of the robust H-infinity P-sD controller is developed such that the closed-loop PDE system is exponentially stable with a given decay rate and a prescribed H-infinity performance of disturbance attenuation. Moreover, a suboptimal H-infinity controller is proposed to minimize the attenuation level for a given decay rate. The proposed method is successfully employed to address the control problem of the FitzHugh-Nagumo (FHN) equation, and the achieved simulation results show its effectiveness.
引用
收藏
页数:8
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