Polynomial Controller Synthesis for Uncertain Large-Scale Polynomial T-S Fuzzy Systems

Van Phong Vu, Wen June Wang

研究成果: 雜誌貢獻期刊論文同行評審

21 引文 斯高帕斯(Scopus)


This paper proposes a novel method to synthesize a controller for stabilizing the nonlinear large-scale system which is represented by a large-scale polynomial Takagi-Sugeno (T-S) fuzzy system. The large-scale system consists of a set of the uncertain polynomial T-S fuzzy system with interconnection terms. Modeling the large-scale nonlinear system under the framework of the polynomial form will decrease both the modeling errors and the number of fuzzy rules with respect to the conventional large-scale T-S fuzzy system. In addition, because of the existence of uncertainties, the synthesizing controller for the large-scale polynomial fuzzy system becomes much more challenging and has not been investigated in the previous studies. In this paper, a controller is synthesized to simultaneously eliminate the impact of the uncertainties and stabilize the system. With the aid of Lyapunov theory, sum-of-square technique, and S-procedure, the conditions for controller synthesis are derived in the main theorems. Finally, two examples are illustrated to show the effectiveness and merit of the proposed method.

頁(從 - 到)1929-1942
期刊IEEE Transactions on Cybernetics
出版狀態已出版 - 4月 2021


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