Robust finite-time stabilization of linear uncertain systems via gain-scheduled output feedback

Abstract

Abstract In this paper we consider the finite-time stability problem for linear systems subject to time-varying parametric uncertainties. First we provide a sufficient condition for robust finite-time stabilization via state feedback in terms of a Linear Matrix Inequalities (LMI's) feasibility problem; such condition is shown to be less conservative than those proposed in the previous literature. Then we consider the output feedback case; sufficient condition for robust finite-time stabilization are given for different kinds of controllers: static, dynamic, dynamic and gain-scheduled with the parameters. Although the output feedback problem cannot be reduced to an LMI's based feasibility problem, we provide an iterative algorithm which has proved to be efficient in most cases. A detailed example illustrates the effectiveness of the proposed technique.