Stability Analysis of Linear, Time-Invariant Systems with Time Delay

摘要

The paper considers the relative stability of the linear, time-invariant systems with time delay and multiple poles. The proposed method is based on the usage of the Lambert W function. The suggested algorithm determines the Gain margin, Phase margin, Delay margin, as well as the gain and phase crossover frequencies. This method can be used with systems without time delay as well. The results are illustrated with examples.