Robust stabilization of uncertain input-delayed systems using reduction method

Abstract

This paper concerns a robust stabilization problem that arises when applying the so-called reduction method to multiple input-delayed systems with parametric uncertainties. A robust stabilizing controller that can be constructed easily by solving convex problems in terms of linear matrix inequalities is presented. Numerical examples are provided to show that in many cases the proposed controller is less conservative and easier to obtain than the existing controllers. (C) 2000 Elsevier Science Ltd. All rights reserved.