Nonlinear Systems

Interval observers for estimating unknown inputs in discrete time-invariant dynamic systems

A. N. Zhirabok^ab, A. V. Zuev<sup>ba

a</sup> Institute of Marine Technology Problems
^b Far Eastern Federal University, Vladivostok

Abstract: This paper considers discrete time-invariant systems (with constant parameters) described by dynamic models in the presence of exogenous disturbances. For such systems, the problem of estimating unknown inputs using interval observers is studied. The solution is based on a minimal-dimension disturbance-insensitive model of the original system. For this model, an interval observer is designed and then used to estimate the unknown inputs. The theoretical results are illustrated with a practical example.

Keywords: linear systems, unknown inputs, interval observers, estimation.

Presented by the member of Editorial Board: S. A. Krasnova

Received: 16.12.2023
Revised: 04.05.2024
Accepted: 30.05.2024

DOI: 10.31857/S0005231024080018

 English version: Automation and Remote Control, 2024, 85:8, 661–673