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Passive Fuzzy Controller Design for Discrete Ship Steering Systems via Takagi-Sugeno Fuzzy Model with Multiplicative Noises

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並列摘要


This paper proposes a passive fuzzy controller design for the discrete ship steering system that is represented by the Takagi-Sugeno (T-S) fuzzy model with multiplicative noises. Applying the Lyapunov theory for guaranteeing mean square stability, the sufficient conditions are developed to design the fuzzy controller for the T-S fuzzy model with multiplicative noises. The sufficient conditions derived in this paper belong to the Linear Matrix Inequality (LMI) forms which can be solved by the convex optimal programming algorithm. Besides, the fuzzy controller is carried out by the concept of Parallel Distribution Compensator (PDC). Finally, the simulation results are proposed to show that the strictly input passivity and mean square stability of the closed-loop system can be achieved via the designed fuzzy controller.

參考文獻


Cao, Y. Y. and Frank, P. M., “Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models,” Fuzzy Sets and Systems., Vol. 124, No. 2, pp. 213-229 (2001).
Chang, W. J., Chang, C. H., and Ku, C. C., “Fuzzy controller design for Takagi-Sugeno fuzzy models with multiplicative noises via relaxed non- quadratic stability analysis,” Proceeding of the Institution of Mechanical Engineers Part I: Journal of Systems and Control Engineering, Vol. 224, No. 8, pp. 918-931 (2010).
Chang, W. J., Ku, C. C., and Chang, W., “Analysis and synthesis of dis- crete nonlinear passive systems via affine T-S fuzzy models,” Interna- tional Journal of Systems Science, Vol. 39, No. 8, pp. 809-821 (2008).
Chang, W. J., Ku, C. C., and Huang, P. H., “Robust fuzzy control of un- certain stochastic time-delay Takagi-Sugeno fuzzy models for achieving passivity,” Fuzzy Sets and Systems, Vol. 161, No. 15, pp. 2012-2032 (2010).
Chang, W. J., Ku, C. C., Huang, P. H., and Chang, W., “Fuzzy controller design for passive continuous-time affine T-S fuzzy models with relaxed stability conditions,” ISA Transactions, Vol. 48, No. 3, pp. 295-303 (2009).

被引用紀錄


Hong, C. W. (2013). 積分型T-S模糊控制設計應用於非線性切換式電源轉換器 [doctoral dissertation, Chung Yuan Christian University]. Airiti Library. https://doi.org/10.6840/cycu201301017
Chen, C. Y. (2007). 輔以狀態觀察器針對不確定非線性離散時間系統之強健適應模糊控制器設計 [master's thesis, Tatung University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0081-0607200917241320

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