Interval Observers for Continuous-Time Systems with Parametric Uncertainties

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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.

About the authors

A. N. Zhirabok

Institute of Marine Technology Problems, Far Eastern Branch, Russian Academy of Sciences; Institute of Automation and Control Processes, Far Eastern Branch, Russian Academy of Sciences

Email: zhirabok@mail.ru
Vladivostok, Russia; Vladivostok, Russia

A. V. Zuev

Institute of Marine Technology Problems, Far Eastern Branch, Russian Academy of Sciences; Institute of Automation and Control Processes, Far Eastern Branch, Russian Academy of Sciences

Email: alvzuev@yandex.ru
Vladivostok, Russia; Vladivostok, Russia

V. F. Filaretov

Institute of Automation and Control Processes, Far Eastern Branch, Russian Academy of Sciences

Email: filaretov@inbox.ru
Vladivostok, Russia

A. E. Shumskiy

Institute of Marine Technology Problems, Far Eastern Branch, Russian Academy of Sciences

Email: a.e.shumsky@yandex.con
Vladivostok, Russia

- Kim chkhun ir

Institute of Marine Technology Problems, Far Eastern Branch, Russian Academy of Sciences

Author for correspondence.
Email: kim.ci@dvfu.ru
Vladivostok, Russia

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