本文設計區間二型Interval Type 2 (IT2) T-S (Takagi-Sugeno)模糊輸出回授追蹤控制系統，並應用於2kW單相雙向換流器之研製，使電路可操作於市電併聯及整流模式。首先，考慮功率開關導通壓降、二極體導通壓降及被動元件內阻之電路，推導換流器操作於市電併聯及整流模式之狀態空間模型。接著將前鑑部參數不確定因素之變動納入，建立IT2 T-S模糊模型。然後，合併IT2 T-S模糊輸出回授追蹤控制器，形成換流器閉迴路IT2 T-S模糊輸出回授追蹤控制系統。本文第二章介紹雙向換流器，以換流器操作於市電併聯及整流模式之實際電路圖說明電流流動方向，並推導正、負半週狀態空間方程式；第三章為本論文重點，設計IT2 TS模糊輸出回授追蹤控制系統。本文提出兩個IT2 T-S模糊輸出回授追蹤穩定定理，定理一為推導考慮外在干擾且滿足 性能指標之LMI(Linear Matrix Inequality)穩定條件式；定理二為同時考慮外在干擾與實際電路之模式不確定性強健LMI穩定條件。最後，以1kW、1.5kW、2kW三組功率之電腦模擬與實驗，完成IT2 T-S模糊輸出回授追蹤控制系統應用於單相雙向換流器之電路分析與驗證。經由抗干擾、模式不確定性之電腦模擬分析與實驗結果，均顯示本文設計之IT2 T-S模糊輸出回授追蹤控制器，不論在市電併聯或整流模式，均比分切合整控制法優異。 In this thesis, Interval Type-2(IT2) T-S(Takagi-Sugeno) Fuzzy Output-Feedback Tracking Control Systems is designed and applied to a single-phase bidirectional inverter which can operated in grid-connection mode and rectification mode in 2-kilo watt. First, we have to derive the state space model of the inverter which operates in grid-connection mode and rectification mode and consider voltage drop of power switches, diode and passive components. After that, merging IT2 T-S fuzzy output-feedback tracking model and tracking to form IT2 T-S fuzzy output-feedback tracking closed loop control systems of the inverter. In this thesis, Chapter 2 will introduce bidirectional inverter. We will describe direction of current of inverter which operated in grid-connection mode and rectification mode and derive state space equation in half and negative half week. Chapter 3, the focuses in this article, proposes design of IT2 T-S output-feedback tracking control system. This thesis proposes two IT2 T-S fuzzy output-feedback tracking stability theorems. Theorem 1 is that deriving LMI(Linear Matrix Inequality) stability conditions which consider external disturbance and satisfy H infinity performance index. Theorem 2 is the robust LMI stability conditions which consider external disturbance and model uncertainty of real circuit simultaneously. Last, we have experiments to analyze and prove the performance of IT2 T-S fuzzy output-feedback tracking control system which is applied to the single-phase bidirectional inverter in 1 kilo, 2 kilo and 3 kilo watt. Then we have anti-disturbance and model uncertainty experiments to prove the method proposed in this paper which has better performance than D-? method whether in grid-connection mode or rectification mode.