解析法化简控制系统传递函数方框图的研究

在经典控制理论中,传递函数方框图化简的常用方法有等效变换法和Mason增益公式法。对于复杂系统的传递函数方框图,等效变换法化简步骤繁琐,Mason增益公式法根据信号流图求传递函数不易理解。提出了一种传递函数方框图化简的解析办法,该方法用解析方程或方程组的形式表示系统输入、输出的关系,是等效变换法和Mason增益公式法的一个很好补充,具有较强的实用性。

Simplification of transfer function block diagram ofcontrol system by using analytic method

In classical control theory,the transfer function block diagram simplification commonly uses equivalent conversion method and Masongain formula.Aiming at complicated block diagrams,the simplification steps are cumbersome and error-prone for the equivalent transformation method.The Mason formula is not easily understood.This paper proposes a new analytic method.The input and output relationship of the system is shown with analytical equation or equations.It is supplementary to equivalent transformation method and Mason gain formula,and it has strong practicability.