Robust Stabilization of the Uncertain Linear Systems Based on Descriptor Form Representation

Abstract

This paper proposes a necessary and sufficient condition for the quadratic stabilization for a class of linear systems described by descriptor form representations. The system representation contains time-varying but bounded parameters representing the uncertainties. Similarly to the state-space form case, the tabilizing controller can be designed by the H_∞ control scheme. We show that the proposed method gives better performances as compared with the state-space method.