離散切換式T-S模糊大型系統控制器設計

Control Design of Discrete Switching T-S Fuzzy Large-scale System

陳立新(Li-Hsin Chen)

指導教授 ： 孫崇訓

淡江大學/工學院/機械與機電工程學系碩士班/碩士(2011年)

https://doi.org/10.6846/TKU.2011.00021

摘要

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。

關鍵字

切換式T-S模糊控制 ； 大型系統 ； 線性矩陣不等式 ； 平行分佈補償 ； 分散式控制

並列摘要

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.

並列關鍵字

Switching T-S fuzzy control ； large-scale systems ； linear matrix inequalities (LMIs) ； parallel distributed compensation (PDC) ； decentralized control

參考文獻

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