Fuzzy Boundary Control Design for a Class of Nonlinear Parabolic Distributed Parameter Systems

被引:158
|
作者
Wu, Huai-Ning [1 ]
Wang, Jun-Wei [2 ,3 ]
Li, Han-Xiong [4 ,5 ]
机构
[1] Beijing Univ Aeronaut & Astronaut, Beihang Univ, Sch Automat Sci & Elect Engn, Sci & Technol Aircraft Control Lab, Beijing 100191, Peoples R China
[2] Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing, Peoples R China
[3] Beijing Univ Aeronaut & Astronaut, Beihang Univ, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China
[4] City Univ Hong Kong, Dept Syst Engn & Engn Management, Hong Kong, Hong Kong, Peoples R China
[5] Cent South Univ, State Key Lab High Performance Complex Mfg, Changsha, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
Boundary control; collocated boundary measurement; distributed measurement; distributed parameter systems; Takagi-Sugeno (T-S) fuzzy model; OBSERVER-BASED CONTROL; STABILIZATION; STABILITY; PDES;
D O I
10.1109/TFUZZ.2013.2269698
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper deals with the problem of fuzzy boundary control design for a class of nonlinear distributed parameter systems which are described by semilinear parabolic partial differential equations (PDEs). Both distributed measurement form and collocated boundary measurement form are considered. A Takagi-Sugeno (T-S) fuzzy PDE model is first applied to accurately represent the semilinear parabolic PDE system. Based on the T-S fuzzy PDE model, two types of fuzzy boundary controllers, which are easily implemented since only boundary actuators are used, are proposed to ensure the exponential stability of the resulting closed-loop system. Sufficient conditions of exponential stabilization are established by employing the Lyapunov direct method and the vector-valued Wirtinger's inequality and presented in terms of standard linear matrix inequalities. Finally, the advantages and effectiveness of the proposed control methodology are demonstrated by the simulation results of two examples.
引用
收藏
页码:642 / 652
页数:11
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