Delay-dependent robust guaranteed cost control of an uncertain linear system with state and input delay

Abstract

This paper is concerned with the problems of robust stabilization and robust guaranteed cost control for linear systems with delays in both state and input subject to norm bounded parameter uncertainties. A delay-dependent design method (referred to delay-dependent design) is developed with guaranteed close-loop stability and cost for any delay no larger than a given bound and for all admissible uncertainties. A systematic approach via linear matrix inequalities (LMI) is proposed, and the control law can be computed using the standard LMI techniques.