Stability analysis of a system of DC servo motor with load

Abstract

The problem of stability of electrical circuit systems is very important. One of the main factor that can cause instability in a servo motor is insufficient resolution on the motor’s feedback device. This behavior could seriously lead to erratic movement at low speed and the inability of a feedback to detect these small changes causes instability in a servo motor system. In this paper, problems of such system stability provision is considered using Lyapunov’s stability theory. By constructing appropriate Lyapunov functional, sufficient conditions which ensure the stability of the state variables chosen xi(t), (i = 1,2,3) describing the system of the servo motor are obtained.