Robust LQ control for uncertain linear time-delay systems: a linear matrix inequality approach with guaranteed #alpha# -stability

摘要

In this note, we are concerned with robust LQ control problem for uncertain linear time-delay systems. More precisely, we design a memoyless static state feedback controller such that the closed-loop system is robustly #alha# -stable for all admissible uncertaintly. Furthermore, an upper bound for a given performance index is guaranteed. We show that feasibility of some LMIs guarantees the solvability of this problem.