Estimation and output feedback stabilization for switched linear discrete-time systems with delayed-outputs

This paper addresses the problem of exact finite-time estimation for switched discrete-time linear systems with delayed output measurements. First, results on exact and finite-time estimation of linear systems with delayed outputs are established. Then, extensions to switched systems, switched singular systems, and switched systems with unknown input are developed. Two estimation algorithms are proposed: the first is based on an explicit computation of the system state by using a combination of delayed inputs/outputs jointly with the backward substitution technique; the second uses two state observers satisfying a common mathematical relation. Furthermore, output feedback stabilization schemes based on the aforementioned estimation algorithms are provided. Illustrations of real-world models are provided to show the efficiency of the algorithms.