Control Design for Parabolic PDE Systems via T-S Fuzzy Model

被引：0
|
作者：
Li, Teng-Fei [1 ,2 ]
Chang, Xiao-Heng [1 ,2 ]
Park, Ju H. [3 ]
机构：
[1] Wuhan University of Science and Technology, School of Information Science and Engineering, Wuhan,430081, China
[2] Wuhan University of Science and Technology, Eng. Res. Center for Metallurgical Automation and Measurement Technology of Ministry of Education, Wuhan,430081, China
[3] Yeungnam University, Department of Electrical Engineering, Gyeongsan,38541, Korea, Republic of
来源：
IEEE Transactions on Systems, Man, and Cybernetics: Systems | 2022年 / 52卷 / 06期
关键词：
Coefficient matrix - Conservative conditions - Neumann boundary condition - Non-linear parameters - Parabolic partial differential equations - Stability condition - State feedback controller - Takagi Sugeno fuzzy models;
D O I：
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中图分类号：
学科分类号：
摘要：
In this article, we investigate the parabolic partial differential equations (PDEs) systems with Neumann boundary conditions via the Takagi-Sugeno (T-S) fuzzy model. On the basis of the obtained T-S fuzzy PDE model, a novel fuzzy state controller which is associated with the boundary state of position and the mean value coefficient matrix derived through the mean value theorem of integral is designed to analyze the asymptotic stability of the parabolic PDE system. Without sampling the nonlinear parameter of the system, new stability conditions are deduced in the form of linear matrix inequalities (LMIs). Moreover, compared with the novel fuzzy state controller, more conservative conditions based on another fuzzy state controller are also provided. Finally, we explore the state-feedback controller into the Fisher equation as an application. Simulation results show that the proposed method is effective. © 2013 IEEE.
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页码：3671 / 3679
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