Reachable Set Analysis of Linear Time-Delay Systems and Application to Constrained H^∞ Controller Synthesis

Abstract

In this paper, a new notion of reachable set for linear time-delay systems is introduced and a method to evaluate the reachable set is proposed. The evaluation method is given in linear matrix inequality form. An important application of reachable set analisys is constrained controller synthesis. We also propose synthesis method of constrained H^∞ controllers for time-delay systems.