Robust stability analysis of discrete-time systems with parametric uncertainty: A graphical approach

Abstract

The principal aim of this paper is to describe an elegant, efficient and simple to use approach to investigation of robust stability for discrete-time polynomials with various uncertainty structures. The key idea is based on generalization of the value set concept and the zero exclusion condition under robust D-stability framework. The set of examples for polynomials with single parameter uncertainty, interval polynomials, affine linear uncertainty structure and also more complicated uncertainty structures given in the paper provides not only the robust stability analyses but also the simple Matlab codes as an inspiration for practical implementation of performed tests.