Functional Interval Observers Design for Multivariable Linear Discrete-time Systems

Abstract

This paper deals with functional interval observers design for discrete-time multivariable systems. Under the as-sumption that disturbances are unknown but bounded, functional interval observers are designed to estimate the system and the functional state. The design conditions of the existence of the proposed interval observer are explicitly mentioned and an effective algorithm for computing the matrices of unknown observers is provided. Finally, numerical example and simulation results are given to illustrate the effectiveness of the proposed method.