基于Butterworth标准传递函数设计

本文首先给出了Butterworth 标准传递函数，然后提出了一种设计状态反馈系统的方
法，该方法包括：利用线性变换将能控系统化为能控标准形，使能控标准形系统的闭环传递函数等于Butterworth 标准传递函数，通过比较法来求得能控标准形系统的状态反馈增益阵，再通过变换得到一般能控系统的状态反馈增益阵。设计示例表明该方法设计的状态反馈系统具有良好的阶跃响应特性。
关键词：Butterworth 标准传递函数；能控标准形；状态反馈；设计

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