An optimization-based method for robust stabilization of linear delay systems

Abstract

This paper investigates the robust stabilization problem of linear delay systems with parametric uncertainty. First, by means of the argument principle, a delay-dependent sufficient condition is derived for designing a feedback controller, with which the closed-loop system can achieve robust stability. Then, based on the fundamental matrix of the linear delay systems, a constrained optimization problem is formulated for solving the feedback gain matrices. The effectiveness of the proposed method is verified by some simulation results.