Switching controller for stabilization of linear systems with switched time-varying delays

This paper considers interval time-varying delay systems with delayed estimation of the delay. This case is often encountered in the Networked Control Systems (NCS) field. Based on Lyapunov-Krasovskii functional methods and linear matrix inequality (LMI) techniques, a switching state feedback controller is designed to guarantee the exponential stability. The controller switches according to the measured time-delay which is itself delayed. The global stability of the switching closed loop is guaranteed if some dwell time conditions are satisfied.