Generalization of Mitrovic's Method

Abstract

A main limitation of Mitrovi's graphical method for analysis and synthesis of linear control systems lies in the fact that only the last two coefficients of the characteristic equation are considered as variables. This paper presents a generalization of the mentioned method, by which it is possible to designate that arbitrary pairs of coefficients be considered variable. The generalization provides a general graphical method for synthesis of linear systems, which can be applied whenever it is required to examine how the zeros of an algebraic equation are affected by a change in its coefficients. The generalized method achieves the same degree of simplicity as does the method in its primary form.