Observer-based robust exponential stabilization for linear systems with parameter uncertainties

Abstract

This paper is concerned with the robust observer-based control problem for a class of continuous-time linear systems with parameter uncertainties. A less conservative approach is provided to deal with the quadratic terms involving in the Lyapunov stability analysis for the estimation error dynamic system. Sufficient conditions that ensure the exponential stability of the closed-loop system are established and formulated in terms of linear matrix inequalities. The obtained results are less conservative than some existing ones in recent literature. Finally, two numerical examples are given to show the validity and superiority of the proposed observer-based robust controller.