應用區間二型T-S模糊控制系統之單相雙向換流器研製

Design and Implementation of a Single-Phase Bidirectional Inverter Using Interval Type-2 T-S Fuzzy Control Systems

賴長志(Chang-Chih Lai)

指導教授 ： 余國瑞

國立中正大學/工學院/電機工程學系/碩士(2016年)

摘要

本文設計區間二型(IT2)T-S模糊控制系統，應用於2kW單相雙向換流器，可操作於市電併聯模式與整流模式。首先推導單相雙向換流器狀態方程式，並加入積分器，擴增狀態空間模型。而前鑑部變數之歸屬函數以區間二型模糊集合表示，建立IT2 T-S模糊模型，結合T-S模糊控制器，建構IT2 T-S模糊閉迴路控制系統。接著透過Lyapunov穩定理論，提出四個系統穩定定理，穩定條件均以線性矩陣不等式(LMI)表示，以求控制增益。定理一為IT2 T-S模糊控制H∞穩定定理，經由H∞性能指標，抑制二極體偏壓。定理二為強健性IT2 T-S模糊控制穩定定理，可抵抗動態系統之模式不確定性。另外，應用非平行分布補償(Non-PDC)方式設計模式控制系統，減少控制器數量，提出定理三為Non-PDC IT2 T-S模糊控制H∞穩定定理，定理四為Non-PDC強健性IT2 T-S模糊控制穩定定理。Non-PDC模糊控制系統優點在於減少模糊規則數量、降低求解增益難度、減少晶片內運算時間及節省晶片成本。最後，經由電腦模擬及實驗驗證，換流器不論操作在市電併聯模式或整流模式，強健性IT2 T-S模糊控制、IT2 T-S模糊控制、Non-PDC強健性IT2 T-S模糊控制、Non-PDC IT2 T-S模糊控制與分切合整控制比較，以強健性IT2 T-S模糊控制系統具有最佳之控制性能。

關鍵字

IT2 T-S模糊控制系統 ； 單相雙向換流器 ； 非平行分布補償

並列摘要

In this thesis, the interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy control system is applied to a 2kW single-phase bidirectional inverter, which operates on grid-connection mode and rectification mode. At first, the state-space equation of the single phase bidirectional inverter is derived, and an integrator is added to the IT2 T-S fuzzy control system. The state variable of the integration of error is added to the state-space model. The fuzzy membership functions of the premise variable represent the interval type-2 fuzzy set, and formulate the IT2 T-S fuzzy model. The IT2 T-S fuzzy model together with T-S Fuzzy controller to found the IT2 T-S fuzzy closed-loop control system. Secondly, according to the Lyapunov stability theorem, the systems stability of four conditions are proposed. The conditions are both descried by the form of linear matrix inequality (LMI) to solve the LMI stability conditions to obtain the control gain. Theorem 1 is the H∞ performance stability theorem of the IT2 T-S fuzzy control system. By using the H∞ performance, the diode bias term of the IT2 T-S fuzzy control system is eliminated. Theorem 2 is the stability theorem of the robust stability of the IT2 T-S fuzzy control system. Theorem 2 can resist the model uncertainty of the system dynamics. In addition, by adopting the Non Parallel Distributed Compensation (Non-PDC), we can design the fuzzy systems, and reduce the amount of controllers. Theorem 3 is the H∞ performance stability theorem of the Non-PDC IT2 T-S fuzzy control system. Theorem 4 is the stability theorem of the robust Non-PDC IT2 T-S fuzzy control system. The advantage of the Non-PDC fuzzy control system is in reducing the rule of the fuzzy controllers and the difficulty of obtaining the control gain, saving the operation time of the microprocessor, and saving the cost of the microprocessor. Finally, based on the operation of grid-connection mode and rectification mode, comparison among IT2 T-S fuzzy control, Non-PDC IT2 T-S fuzzy control and Division-Summation control can be observed from the simulated and experimental results. The superiority of the single-phase bidirectional inverter with the robust IT2 T-S fuzzy control will be proved via the results.

並列關鍵字

IT2 T-S fuzzy control system ； single-phase bidirectional inverter ； Non Parallel Distributed Compensation

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