降壓型直流-直流轉換器之T-S模糊混沌控制研究

T-S Fuzzy Chaotic Control for Buck DC-DC Converters

鍾曉春(Shiao-Chin Chung)

指導教授 ： 王順源 ； 曾傳蘆

國立臺北科技大學/電資學院/電機工程系研究所/碩士(2013年)

摘要

本論文主要研究利用Takagi-Sugeno (T-S)模糊控制器控抑制降壓型直流－直流轉換器輸出的分岔與混沌現象。並以線性矩陣不等式(linear matrix inequality, LMI)為基礎來設計控制器增益。文中以T-S模糊系統來表示非線性系統，接著設計混沌控制器，並以MATLAB/SIMULINK軟體模擬，觀察在輸入電壓、負載參數變化下，轉換器在週期1、週期2及週期4等倍週期分岔與混沌現象時，其輸出電壓特性、電感電流與輸出電壓-電感電流相平面圖變化情形。在控制混沌系統時，因其對參數變化的敏感性，所以導入無須外加電源的控制器，且在不改變原電路狀態下加入控制器，來觀察參數變化時的輸出等特性。
直流-直流轉換器的建模分析是研究開關電源(switching power supply)的基礎，在分析、設計開關電源上有重要意義。因此本文以MATLAB/SIMULINK軟體進行模擬，模擬結果發現，在轉換器導入T-S模糊控制器後，轉換器進入倍週期分岔與混沌時，T-S模糊控制器皆能有效將轉換器輸出特性控制在週期1的運行軌道上，證實T-S模糊控制器具有良好的控制特性，能有效抑制混沌的發生。

關鍵字

降壓型直流-直流轉換器 ； 混沌 ； 線性矩陣不等式 ； 模糊控制

並列摘要

This thesis mainly investigates the bifurcation and chaos suppression of buck DC-DC converters by using the Takagi-Sugeno (T-S) fuzzy controller. Firstly, a nonlinear converter is represented in the form of T-S fuzzy system and then controller gain matrices can be obtained by solving the linear matrix inequalities (LMI). Moreover, this study uses the MATLAB/SIMULINK software to simulate and observe, in the presence of variations of input voltage and load resistances, the output voltage characteristic, inductance current and the corresponding phase plane when the bifurcation and chaos phenomena occur at cycle 1, cycle 2 and the cycle 4, respectively. To control the chaotic system, a T-S fuzzy controller is introduced to change the output dynamics.
From the simulation results, it is found that the converter output dynamics remain at cycle 1 trajectory with the proposed T-S fuzzy controller. It verifies that the proposed controller has good control performance and the chaotic phenomenon is suppressed.

並列關鍵字

Buck DC-DC Converters ； Chaotic ； LMI ； Fuzzy Control

參考文獻

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