針對具時間延遲奇異系統模糊滑動模式控制設計

FUZZY SLIDING MODE CONTROL DESIGN FOR TIME-DELAY DESCRIPTOR SYSTEMS

王晨帆(Chen-Fan Wang)

指導教授 ： 游文雄

大同大學/電機資訊學院/電機工程學系所/碩士(2009年)

摘要

在本篇論文裡,我們針對非線性系統,使用一般延伸具時間延遲之Takagi-Sugeno (T-S) 模糊奇異系統,提出一個模糊滑動模式的控制器設計。 首先,在系統輸出具有未知的輸出干擾下,我們使用等效T-S 模糊模型來陳述此授控系統,並且轉換為一個擴大狀態向量的模糊奇異系統來表示。 我們將設計一個模糊觀察器來取得未能以量測獲得之狀態信號,並設計一個包含基於平行分佈補償(PDC)模糊及滑動模式控制器來抑制輸出的干擾,以保持系統穩定性,進而達到參考模型之追蹤性能。 我們使用Lyapunov的穩定分析方法來分析我們所提出的模糊狀態及干擾觀察器之追蹤誤差穩定度。 最後,我們利用數值的例子來驗證我們提出的方法。 這個模擬能證實本文提出的方法正確性及令人滿意的效果。

關鍵字

模糊滑動模式控制設計 ； 奇異系統

並列摘要

In this thesis, we present a fuzzy sliding mode control design method for the fuzzy time-delay descriptor system in the extended general Takagi-Sugeno (T-S) fuzzy model. First, the nonlinear system is represented by an equivalent T-S fuzzy model, such that we can construct a fuzzy descriptor system with an augmented state space matrix. We will design a controller that incorporates a fuzzy controller based on parallel distributed compensation (PDC) and a reaching mode sliding mode controller to restrain the perturbed by output disturbance. And then, design a fuzzy state and disturbance observer such that the reference model tracking performance is achieved. Based on Lyapunov stability theorem to analysis the tracking error stability of the proposed fuzzy state and disturbance observer that can guarantee we can obtain good tracking performance as well model. Finally, we will use numerical examples to illustrate the design approach. The simulation can demonstrate the validity the proposed scheme and achieve satisfy simulation results.

並列關鍵字

fuzzy sliding mode control design ； descriptor system

參考文獻

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