Interval Observers Design for Discrete-Time Linear Systems with Uncertainties

The paper studies the problem of designing interval observers for discrete-time linear dynamic systems under the external disturbances, measurement noises, and unknown system parameters. To construct such observers, we use not the original system but its reduced-order model of the original system of minimal dimension which is insensitive to the disturbances. The observers are designed in such a way to estimate the prescribed linear function of the original system state vector. Canonical form of the observer is used that allows to simplify the design procedure. The obtained results are displayed by example of the electric servoactuator.