本篇文章主要是討論將一個離散的系統，利用切換式T-S模糊大型系統來做控制。本論文根據局部區段非線性的方法，將一個非線性的大型系統轉換成切換式T-S模糊大型系統，並且在控制器設計方面，設計出以分散式控制為概念的切換式平行分佈補償(parallel distributed compensation, PDC)模糊控制器；接著，再以李亞普諾夫穩定性分析的方式，推導出可使離散切換式T-S模糊大型系統達到收斂且漸近穩定的線性矩陣不等式(linear matrix inequalities, LMIs)條件。最後以兩個例子來說明本論文所推導出來的定理是穩定且有效的控制器設計準則。

This paper discusses a discrete system controller design for switching T-S fuzzy large-scale system. According to the local sector nonlinearity method, a nonlinear large-scale system can be represented as a switching T-S fuzzy large-scale system. Then the switching decentralized parallel distributed compensation (PDC) fuzzy controller is synthesized. Base on Lyapunov stabilization criterion, the linear matrix inequalities (LMIs) conditions are derived, for ensuring the stability of the switching T-S fuzzy large-scale system. Finally, we give two examples to illustrate the effectiveness of the proposed criterion.

目錄
中文摘要I
英文摘要II
目錄III
圖目錄IV
第一章 緒論1
   1.1 研究動機與目的1
   1.2 文獻回顧2
   1.3 本文架構3
第二章 離散切換式T-S模糊大型系統4
   2.1 大型系統4
   2.2 T-S模糊系統	6
   2.3 T-S模糊大型系統8
   2.4 分散式控制的PDC模糊控制器設計9
   2.5 切換式T-S模糊大型系統10
第三章 離散切換式T-S模糊大型系統穩定性分析12
   3.1 不等式定理引述12
   3.2 穩定性證明14
第四章 離散切換式T-S模糊大型系統模擬24
   4.1 數值模型24
   4.2 模擬結果31
第五章 結論與未來展望46
   5.1 結論46
   5.2 未來展望46
參考文獻47

圖目錄
圖. 1 大型系統示意圖(1)[13]	5
圖. 2 大型系統示意圖(2)[13]	5
圖. 3 大型系統示意圖(3)[13]	6
圖. 4 平行分佈補償示意圖[2]	9
圖. 5 區域規則範圍示意圖25
圖. 6 區域規則數目示意圖26
圖. 7 子系統S1的歸屬函數圖27
圖. 8 子系統S2的歸屬函數圖28
圖. 9 離散切換式T-S模糊大型系統歸屬函數圖31
圖. 10 子系統 的收斂情形(初始位置：[1  1.5708])34
圖. 11 子系統 的收斂情形(初始位置：[1.5708  2])34
圖. 12 離散切換式T-S模糊大型系統收斂情形(初始位置：[1  1.5708  2])35
圖. 13 子系統 的收斂情形(初始位置：[-2  -1.0472])36
圖. 14 子系統 的收斂情形(初始位置：[-1.0472  1])36
圖. 15 離散切換式T-S模糊大型系統收斂情形(初始位置：[-2  -1.0472  1])37
圖. 16 子系統 在四個不同位置的收斂情形38
圖. 17 子系統 在四個不同位置的收斂情形38
圖. 18 四個不同初始位置的離散切換式T-S模糊大型系統收斂圖39
圖. 19 子系統S1的收斂情形44
圖. 20 子系統S2的收斂情形44

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