本文的目的主要是利用狀態空間平均法建立降壓型電源降壓轉換器的數學模型，以強健控制理論來設計控制器。由於降壓型電源轉換器的性能會受到內部元件參數變動與外界干擾的影響，例如: 電容值及電感值的匹配誤差、輸入電壓變動、負載變動等；因此，我們以不確定因素與干擾的概念來代表這些實際的變動情況，在控制器設計的過程中將這些因素列入考量。為了使直流轉換器具有穩定的輸出電壓以及快速的暫態響應，我們結合極點配置法與強健控制理論，以確保當系統受不確定因素影響與干擾時，可達到不錯的性能要求。數值模擬證實在有不確定因素與干擾時，我們所設計的強健控制器可以得到不錯的效果。 The main objective of this thesis is first to derive a mathematical model for a class of Buck power converters using the state-space averaging method and subsequently to design the controllers by applying robust control theory. Due to the fact that the performance of the Buck power converters would be affected by the parametric variations of the components and the influence of external disturbances, such as the mismatched errors of the capacitance and inductance, the variations of the input line voltage and the load; the notion of uncertainty and disturbance is employed to handle these situations and these factors are taken into account during the design of the controllers. In order to keep steady a prescribed output voltage and possess fast transient response for the Buck power converters in the face of the uncertainties and disturbances aforementioned, we integrate pole placement method and robust control technique for the controller design. Numerical examples demonstrate that the performances by our proposed controllers are satisfactory in the presence of the uncertainties and disturbances.
