叠加法——方框图化简的一种新方法

Superposition Method-A New Simplified Method of Block Diagram

在经典控制理论中,方框图化简的常用方法有方框图等效变换法和Mason增益公式法。对于部分框图,由于方框图等效变换法化简步骤太多,容易出错;而Mason增益公式法虽然简便,但学生不容易理解。本文根据经典控制理论的研究对象通常是线性时不变系统这一特性,提出了一种叠加法,即使用叠加原理结合框图等效变换法和公式法来进行框图化简的新方法。该方法特别适用于多输入、多反馈方框图的化简。该方法优于框图等效变换法,是框图等效变换法和Mason公式的一个很好补充。

In the classical control theory,usually used simplified methods of block diagram are equivalent transform and Mason gain formula.However,to some block diagram,the equivalent transform method has many convert steps,and is not enough direct-viewing and also easy to make a mistake.The Mason gain formula method is simple and convenient,but the method is not easy to understand by students.So in this paper,a new simplified method of block diagram is put forward by using superposition principle and combing with eq...