RICCATI EQUATION APPROACH TO THE STABILIZATION OF UNCERTAIN LINEAR SYSTEMS.

Abstract

This paper deals with the problem of stabilizing an uncertain linear system using state feedback control. The uncertain linear systems under consideration are described by state equations containing time-varying parameters whose values are unknown but bounded. The problem of stabilizing an uncertain linear system has attracted a considerable amount of interest in recent years. Our approach to finding a suitable quadratic Lyapunov function involves solving an 'augmented' Riccati equation which has been constructed to account for the uncertainty in the system. This Riccati equation is obtained by bounding the Lyapunov derivative with a quadratic form. Hence, we refer to our approach as the quadratic bound method. 14 refs. Show more