This article is cited in 5 papers

Linear Systems

Interval observers for continuous-time systems with parametric uncertainties

A. N. Zhirabok^ab, A. V. Zuev^ab, V. F. Filaretov^c, A. E. Shumsky^a, C. I. Kim<sup>a

a</sup> Far Eastern Federal University, Vladivostok
^b Institute of Marine Technology Problems
^c Institute for Automation and Control Processes, Far Eastern Branch of the Russian Academy of Sciences, Vladivostok

Abstract: In this paper, interval observers are designed for linear dynamic systems described by continuous-time models with exogenous disturbances, measurement noises, and parametric uncertainties. Jordan canonical form-based relations are presented for an interval observer that estimates the set of admissible values of a given linear function of the system state vector. The theoretical results are illustrated by a practical example.

Keywords: linear systems, interval observers, Jordan canonical form, estimation.

Presented by the member of Editorial Board: N. N. Bakhtadze

Received: 22.01.2023
Revised: 08.08.2023
Accepted: 04.09.2023

DOI: 10.31857/S0005231023110016

 English version: Automation and Remote Control, 2023, 84:11, 1137–1147