Low sensitivity memory control for linear time-delay systems with mixed-H∞ norm sensitivity minimization

This paper deals with the problem of designing low sensitivity memory H_∞ state-feedback controllers for linear discrete-time systems with time delay. The time-delay factors are known constant scalar. The aim of this paper is to design a memory low sensitivity sate feedback control law such that the closed-loop system is asymptotically stable for all admissible time-delays and multiplicative controller coefficient variations in the framework of coefficient sensitivity theory. A new sufficient condition based on linear matrix inequality (LMI) technique for the existence of such controllers is formulated.