區域型T-S模糊時延時變系統之控制器與觀察器設計

Design of Controller and Observer for Region-Based T-S Fuzzy Systems with Time Varying Delay

柯漢雄(Han-Syong Ke)

指導教授 ： 鍾鴻源

國立中央大學/資訊電機學院/電機工程學系/碩士(2011年)

摘要

本篇論文旨在探討區域型Takagi-Sugeno(T-S)模糊系統發生時延時變的情況下之控制器與觀察器設計及其穩定度分析，主要藉由模糊區域觀念來改善傳統的平行分佈補償(PDC)的設計方法，進而降低系統穩定度的保守性。首先，討論模糊區域觀念在T-S模糊時延系統的理論分析及模糊區域控制器設計。其次，進一步延伸討論分段Lyapunov穩定準則運用於區域型T-S模糊時延時變系統的穩定度分析。然後，探討模糊區域觀念運用於T-S模糊時延時變系統之觀察器設計及其穩定度分析。最後，舉一些數值模擬証實本方法之可行性。

關鍵字

時延時變 ； 區域型T-S模糊系統 ； 觀察器

並列摘要

This thesis proposes the design of controller and observer for region-based T-S fuzzy system with time varying delay, and a fuzzy region concept is used to improve the design of PDC for fuzzy controllers, and thereby reduce the stability’s conservatism of the region-based T-S fuzzy system with time varying delay. First, the theoretical analysis of region concept and the design of region-based fuzzy controller for region-based T-S fuzzy systems with time delay are discussed. Second, the stability analysis of region-based T-S fuzzy system with time varying delay is further discussed by piecewise Lyapunov stable criterion. Then, use region concept to design observer and discuss its stability. Finally, some numerical simulations are given to demonstrate the feasibility of the method.

並列關鍵字

Region-based T-S fuzzy system ； time varying delay ； observer

參考文獻

[1] K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach, John Wiley & Sons, Inc., 2001.

[2] J. Yoneyama, “New Generalized Stability Conditions for Takagi-Sugeno Fuzzy Time-Delay Systems,” The 14th IEEE International Conference on Fuzzy Systems, pp. 957-962, 2005.

[3] S. Huang and X. He, “Some Sufficient Stability Conditions on T-S Fuzzy Systems with Time-Delay,” Fourth International Conference on Fuzzy Systems and Knowledge Discovery, Vol. 1, pp. 341-345, 2007.

[4] F. Lui, M. Wu, Y. He, Y. Zhou, and Y. Ryuichi, “New delay- dependent stability analysis and stabilizing design for T-S fuzzy systems with a time-varying delay,” 27th Chinese Control Conference, pp. 340- 344, 2008.

[5] H. Gassara, A. E. Hajjaji, and M. Chaabane, “New delay-dependent stabilization conditions of T-S fuzzy systems with time varying delay,” 17th Mediterranean Conference on Control and Automation, pp. 19-24, 2009.