LMI control design for a class of exponential uncertain systems with application to network controlled switched systems

This paper is dedicated to the stabilizability of discrete uncertain systems with exponential uncertainties. Such uncertain system are encountered in many application domains that use sampled-data controllers and communication networks. For the sake of generality, the design problem is presented in the context of switched systems. LMI robust control synthesis based on an equivalent polytopic model with an additive norm bounded term are presented. The results are applied to network controlled switched systems in which both the switching signal and the control input are affected by networked induced delay.