Relaxed Exponential Stabilization of T-S Fuzzy Systems with Time Delay

對於T-S模糊延時系統本文提出一種合成的強健控制設計方法，控制器是應用分散式補償與監督補償兩種控制策略，使系統狀態得到指數漸進穩定的操作。相較於目前應用線性矩陣不等性(LMI''''s)方法所推導的嚴謹穩定控制條件，由於監督補償可以抵消模糊延時系統中的耦合作用，因此本文的穩定控制條件較為寬鬆，以LMI方法即可容易的完成分散式補償控制設計。此外，本文使用參數最佳化的技巧，根據系統的動態特性設計控制器參數，有效降低控制器設計的複雜性。最後經由電腦模擬驗證此理論之正確性與實用性。

關鍵字

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並列摘要

This paper investigates the design of a robust fuzzy controller for the T-S (Takagi-Sugeno) fuzzy system with time delay. The idea of composite control that incorporates the parallel distributed compensation (PDC) and supervisory control is introduced. Compared with earlier studies based on the framework of linear matrix inequalities (LMI's), the proposed method can synthesize the fuzzy controller more efficiently and guarantee exponential stability of the control performance. The goal of applying supervisory control is to overcome the coupling effect, which is caused by the fuzzy inferences, and simplify design constraints. With the supervisory control the stability conditions can be significantly relaxed, so the LMI solution is more likely to be obtained than by including the basic stability conditions. In particular, the principle of parametric optimization is adopted to determine the control parameters. It is shown that the dynamics of the fuzzy system actually contain explicit information and can be analyzed in advance to facilitate the design. Finally, numeric examples are given to validate the proposed approach.

並列關鍵字

T-S fuzzy system ； Linear matrix inequality ； Parallel distributed compensation ； Robust stability

參考文獻

Branch, M. A.,Grace, A.(1996).Optimization Toolbox.Natick, MA:Math Works Inc..

Google Scholar

Cao, Y. Y.,Sun, Y. X.,Lam, J.(1998).Delay-dependent robust H∞ control for uncertain systems with time-varying delays.IEE Proc.-Control Theory Applications.145,338-344.

Google Scholar

Cao, Y. Y,Frank, P. M.(2000).Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach.IEEE Trans. Fuzzy Systems.8,200-211.

Google Scholar

Cao, Y. Y.,Frank, P. M.(2001).Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models.Fuzzy Sets and Systems.124,213-229.