輔以模糊模型不確定非線性時間延遲系統之 強健滑動模式控制器設計

ROBUST SLIDING MODE CONTROLLER DESIGN OF UNCERTAIN NONLINEAR TIME-DELAY SYSTEMS USING FUZZY MODEL

林育慶(Yuh-Ching Lin)

指導教授 ： 江江盛

大同大學/電機資訊學院/電機工程學系所/碩士(2004年)

摘要

本論文我們主要討論針對在狀態與輸入含有未匹配不確定項的延遲系統之滑動模式控制器設計的問題。我們的方法是根據 Takagi-Sugeno 模糊模型和滑動模式控制所構成。我們使用 Takagi-Sugeno 模糊模型，它能結合一些簡單局部線性時間延遲系統和一些語言描述去表示原始的非線性系統，接著我們提出滑動模式控制器去處理存在未匹配不確定性項的模糊延遲系統。根據李普諾夫定理及函數分析觀念推導模糊延遲系統在具有未匹配不確定項之穩定度條件。最後，對於所提出之方法我們將以數值模擬結果來驗證其適用性。

關鍵字

未匹配不確定性項 ； Takagi–Sugeno 模糊模型 ； 時間延遲 ； 滑動模式控制 ； 李亞普若夫方法 ； 函數微分不等式的分析。

並列摘要

In this thesis, we consider the problem of designing the sliding mode controller for an uncertain time-delay system with unmatched parametric uncertainties in the state and input matrix. Our approach is based on Takagi-Sugeno ( T-S ) fuzzy modeling method and sliding mode control technique. Using the Takagi-Sugeno fuzzy model, it is to combine some simple local linear systems with their linguistic description to represent original nonlinear systems. Then the sliding mode controller is developed for fuzzy delayed system with unmatched uncertainties. Based on Lyapunov theory and the concept of functional analysis, sufficient conditions for stability of fuzzy delayed system with unmatched uncertainties using sliding mode controller are given. Finally, the effectiveness of the proposed fuzzy sliding mode controller is demonstrated through numerical simulations.

並列關鍵字

functional differential inequalities analysis.. ； Lyapunov method ； sliding mode controller ； Takagi–Sugeno fuzzy model ； time-delay ； unmatched uncertainties

參考文獻

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