本文首先給出了Butterworth 標準傳遞函數，然后提出了一種設計狀態反饋系統的方
法，該方法包括：利用線性變換將能控系統化為能控標準形，使能控標準形系統的閉環傳遞函數等于Butterworth 標準傳遞函數，通過比較法來求得能控標準形系統的狀態反饋增益陣，再通過變換得到一般能控系統的狀態反饋增益陣。設計示例表明該方法設計的狀態反饋系統具有良好的階躍響應特性。
關鍵詞：Butterworth 標準傳遞函數；能控標準形；狀態反饋；設計

Abstract: In this paper, Butterworth standard transfer functions are firstly given, and then a method of designing state feedback system is proposed. The method includes: making use of the line transformation the controllable system changes into controllable standard form, making the closed-loop transfer function of controllable standard form system same as Butterworth standard transfer function, passing compare the gain matrix of state feedback is
solved, then passing transformation the gain matrix of general controllable system is got. The example indicates the step response of the state feedback system is good.
Key words: Butterworth Standard Transfer function；controllable standard form；state feedback；design