Finite-Time Estimation of a Class of Switched Discrete-Time Linear Systems Subject to Delayed-Output Measurements

This paper deals with the problem of exact finite-time estimation for a class of switched discrete-time linear systems with delayed-output measurements. Before tackling switched systems, preliminary results on exact and finite-time estimation of linear systems with delayed outputs are established. Then an extension to a class of switched systems with delayed output measurements is provided. Two estimation algorithms are proposed: the first one is based on explicit computation of the system state by using a combination of delayed inputs/outputs, while the second algorithm uses two asymptotic observers linked by a mathematical relation. A numerical example is given to illustrate the validity and effectiveness of the proposed algorithms.