Finite-time control of linear systems subject to parametric uncertainties and disturbances

In this paper we consider finite-time control problems for linear systems s ubject to time-varying parametric uncertainties and to exogenous constant d isturbances. The main result provided is a sufficient condition for robust finite-time stabilization via state feedback. It can be applied to problems with both non-zero initial conditions and unknown constant disturbances. T his condition is then reduced to a feasibility problem involving linear mat rix inequalities (LMIs). A detailed example is presented to illustrate the proposed methodology. (C) 2001 Elsevier Science Ltd. All rights reserved.