7

ROOT LOCUS TECHNIQUE

7.1 Introduction

The closed-loop poles or the roots of the characteristic equation of the system ­determines the absolute and relative stability of linear control systems. Investigating the trajectories of the roots of the characteristic equation is an important study in linear control systems. Root loci introduced by W. R. Evans in 1946 are the trajectories of the roots of the characteristic ­equation or the graphical representation of the closed-loop poles when certain system parameter varies. In addition, it is a powerful method of analysis and design for stability and transient response.

The location of closed-loop poles in the control system depends on the ­variable loop gain in the system. Hence, it is necessary ...

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