求解复杂结构控制系统传递函数的简便公式

在控制理论中,对一个复杂结构图进行化简,并求解其传递函数,是研究系统中的信息变换、传递及设计系统等方面的首要问题.在教科书中,系统的传递函数一般是通过将结构图进行等效变换化简或将结构图转化为对应的信号流图应用梅逊公式计算求得.这些方法在解复杂结构系统时,一般仍感麻烦复杂,且在化简、计算过程中稍不注意就容易出错.本文以求解多前向通路结构系统传递函数为例,探讨了一个通用简便的计算公式,适用于复杂系统传递函数的求解.

Simple Formula on Solving Transfer Function of Complex Construction Control System

With respect to the study of information transform and transmission in control systems, and design of system et cetera, the esseatial problem is to simplify a complex construction scheme and to solve its transfer function. In texthooks, the transfer function of a system is usually calculated with Mason formula through equivalent transform of construction schemes or converting the schemes intothe corresponding signal-flow schemes. In general, these ways are overelaborate, and lead to mistakes easily in the processes of simplification and calculation of little care is taken. The author presents a simple, convenient and universal formula for solving the transfer function of a multi-forward channel construction system, which is suitable for solving problems of complex systems.