具有時變不確定性之非線性系統的 T-S模糊控制設計

T-S Fuzzy Controller Design for Nonlinear Systems with Time-Varying Uncertainties

吳凌杰(Ling-Jie Wu)

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(2007年)

摘要

在本篇論文中, 我們針對時變不確定性因素而產生相互擾動影響之大型系統, 提出一個 Takagi-Sugeno (T-S) 模糊邏輯控制的方法。
本文主要架構可分為兩大部分, 首先, 我們先得到原系統在各不確定項條件下之T-S模糊歸屬度以及模糊系統參數,再用此模糊系統參數來代表原受控動態系統。
其二是設計出一模糊邏輯控制器來使各狀態穩定收斂。
基於李亞普諾夫(Lyapunov)穩定條件下, 我們將證明系統狀態具有均勻有界, 此外,我們也藉由一數值化的例子以及一TMD系統的例子來代表大型系統, 以其模擬的結果來驗證所提出的模糊邏輯規則及其控制器之控制方法及成效。

關鍵字

時變不確定性 ； T-S 模糊控制器 ； 大型非線性系統 ； 線性矩陣不等式 ； 李普諾夫定理

並列摘要

In this thesis, we present Takagi-Sugeno (T-S) fuzzy logic control scheme for a class of large-scale time-varying uncertain systems.
The main frame can be divided into two parts: The first part is to obtain the fuzzy system for the given system with uncertainties.
Then, the parameters of the fuzzy system are obtained by learning rule.
The second part is to design a state feedback fuzzy control scheme to restrain the external disturbances.
Based on the Lyapunov stability theorem, we will prove that the closed-loop control system is uniformly ultimately bounded.
Finally, a numerical example and a TMD system is given to validate the proposed scheme.
%From the simulation results, we can demonstrate the validity and effectiveness of the proposed fuzzy logic control method and the controller.

並列關鍵字

large-scale nonlinear systems ； T-S fuzzy controller ； Lyapunov theory ； time-varying uncertainties ； LMI

參考文獻

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