直流－直流電力轉換器之T-S模糊控制器設計

T-S Fuzzy Controller Design for DC-DC Power Converter

黃建育(Chien-Yu Huang)

指導教授 ： 練光祐

中原大學/工學院/電機工程研究所/碩士(2002年)

https://doi.org/10.6840/cycu200200180

摘要

我們選擇傳統PWM降壓型(Buck)電力轉換器與Divakar和Ioinovici兩位學者所提出的零電壓轉移(Zero Voltage Transition) PWM降壓型電力轉換器，利用不連續系統單時間尺度平均法(AM-OTS-DS)與不連續系統雙時間尺度平均法(AM-TTS-DS)求得兩種電力轉換器的非線性數學模式。
在本論文中，我們以這幾年來被廣泛使用於非線性控制的T-S模糊模式(Takagi-Sugeno fuzzy model)，對上述直流-直流電力轉換器(DC-DC power converter)作T-S模糊模式化(modeling)，並且以我們所提出的積分型T-S模糊控制(Integral T-S fuzzy control)設計輸出調節(output regulation)控制器、穩定性分析(考量 performance)與閉迴路系統模擬。
最後我們實作上述兩種直流-直流電力轉換器並且以類比電路實現積分型T-S模糊控制器，而實作的結果也驗證了積分型T-S模糊控制器具有零穩態誤差特性，並對干擾有較好之強健性(robustness)。

關鍵字

強健性 ； 降壓型電力轉換器 ； 零穩態誤差 ； T-S模糊模式 ； 零電壓轉移 ； 積分型T-S模糊控制

並列摘要

We model the conventional PWM buck converter and the Zero Voltage Transition PWM buck converter by using Averaging Method for One-Time-Scale Discontinuous System (AM-OTS-DS) and Averaging Method for Two-Time-Scale Discontinuous System
(AM-TTS-DS), respectively. To deal with the regulation problem for the nonlinear system via LMI approach, we represent both of the converter
dynamics in T-S fuzzy models. The integral T-S fuzzy controller with $H_infty$ performance is proposed to achieve better robustness for disturbance. The regulator gains are obtained by solving LMIs. Then the performance is confirmed by carrying out numerical simulations. The hardware of theconventional PWM buck converter and the ZVT PWM buck converter are implemented. The integral T-S fuzzy controllers for the conventional PWM buck converter and the ZVT PWM buck converter realized by operational amplifiers and analog multiplexer are also implemented by our laboratory. The experiments based on the set-up hardware illustrate satisfactory results.

並列關鍵字

zero voltage transition ； $H_infty$ performance ； integral T-S fuzzy controller

參考文獻

[1]J. L. Lin, and H. Y. Hsieh, ``Dynamics Analysis and Controller Synthesis for Zero-Voltage-Transition PWM Power Converters", IEEE Transactions on Power Electronics, vol. 15, no. 2, pp.205-214, 2000.

[2] J. Sun, and H. Grotstollen, ``Averaged Modelling of Switching Power Converters: Reformulation and Theoretical Basis", IEEE Conf., pp.1165-1172, 1992.

[3] B. P. Divakar, and A. Ioinovici, ``PWM Converter with Low Stress and Zero Capacitive Turn-On Losses", IEEE Transactions on Aerospace and Electronic Systems, vol. 33, no. 3, pp.913-920, 1997.

[4] H. Y. Hsieh, ``Dynamics Analysis and Controller Synthesis for a Zero Voltage Transition Soft Swithcing Power Converter", Master Thesis of NCKU, 1998.

[6] K. Y. Lian, T. S. Chiang, C. S. Chiu, and P. Liu, ``Synthesis of Fuzzy Model-Based Designs to Synchronization and Secure Communications for Chaotic Systems", IEEE Trans. Syst., Man, Cybern. B, vol. 31, no. 1, pp.66-83, Feb 2001.