在控制理論的發展上，以靜態狀態回授設計的發展較為快速，已存在的設計方法也較動態控制器設計理論多，使得靜態狀態回授設計相對於動態輸出回授設計，在理論設計層面上更具完備性。但是在實務上，靜態狀態回授需擷取系統的狀態訊號做回授控制，假若系統的狀態訊號眾多，則在電路實現上將會相當複雜。但若考量動態輸出回授設計，僅需利用輸出做為回授訊號，因此，在電路實現上會較為簡易。根據以上的說明可知，靜態狀態增益回授設計與動輸出回授設計在理論與實務上有其取捨。 若想使用較為完備的設計理論與較簡易的實現方式來完成系統的設計與實現，就上述的觀點來看是有衝突的。故本論文以此為研究方向，發展出動態控制器與靜態狀態回授增益可等價轉換的設計，使得在設計與實現上皆可以大幅減化困難度。另外，本文提出一種片段式H∞設計方法，不僅比傳統H∞控制有彈性，而且可符合控制力或某些內部訊號符合應有或預設之限制。 本論文以降壓式電源轉換器為設計對象，針對靜態狀態回授與動態回授架構分別在連續時及離散時做設計，並使用數值模擬軟體模型的驗證，以及其軟體中所提供的SimPowerSystems Toolbox做電路設計的驗證，最後以硬體實現來具體呈現並驗證設計之效果。 On the development of control theory, the research on static state feedback design usually advances that of dynamic output feedback design. It is true that more theoretical results using the former control law are now available. But concerning the implementation issue, the states of a system must be measureable if static state feedback is considered. This obviously hampers the use of the control law if the underlying system has many states. On the contrary, the realization of a dynamic output feedback looks much easier in that only the output signal is required. Accordingly, there are tradeoffs for using static state feedback design and dynamic output feedback in both theoretical design and practice. It looks like a difficult thing, if not impossible, if a designer wants to apply the more complete design theory, but uses easier implementation technique. Based on the above observations, this thesis presents a method which equivalently transforms a dynamic output feedback problem into a static state feedback problem under which the dynamic controller design can be achieved utilizing the profound results developed in the static state feedback cases. Consequently, the dynamic output feedback design problem is greatly benefited by the establishment of the transformation on both theoretical design and implementation. In addition, this thesis proposes a new H∞ design method which offers some flexibility compared to the traditional H∞ controller design. Moreover, constraints on the control input or some internal signals can be incorporated into the integral design. This thesis takes the DC-DC buck converter as the controlled object. Static state feedback and dynamic output feedback design methods are developed in the continuous-time and discrete-time settings, respectively. Numerical experiments are performed using the software MATLAB and the SimPowerSystems Toolbox of MATLAB. Finally, hardware implementation using FPGA as a digital controller is done to validate the design.
