Modified Mikhailov plots for robust absolute stability with non-parametric perturbations and uncertain nonlinearity

Abstract

This paper generalizes the classical Mikhailov stability result for testing robust absolute stability of linear systems with both non-parametric perturbations and uncertain nonlinearity. Three types of non-parametric perturbations are considered: additive, multiplicative and stable-factor perturbations. Modified Mikhailov plots are developed for simultaneously testing the stability of the ‘nominal’ system and computing the maximum robust absolute stability margin.