Interval observers for hybrid continuous-time stationary systems

A. N. Zhirabok; Жирабок А. Н.; A. V. Zuev; Зуев А. В.; A. E. Shumsky; Шумский A. Е.

doi:10.31857/S0002338824020116

Interval observers for hybrid continuous-time stationary systems

Autores: Zhirabok A.N.¹^,2, Zuev A.V.², Shumsky A.E.¹
Afiliações:
1. Far Eastern Federal University
2. Institute of Marine Technology Problems
Edição: Nº 2 (2024)
Páginas: 130-142
Seção: SYSTEM ANALYSIS AND OPERATIONS RESEARCH
URL: https://cardiosomatics.ru/0002-3388/article/view/676431
DOI: https://doi.org/10.31857/S0002338824020116
EDN: https://elibrary.ru/VOETJU
ID: 676431

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Resumo

The problem of interval observer design for hybrid continuous-time stationary systems under external disturbances and measurement noise is studied. It is assumed that continuous-time dynamic of such systems is described by linear or nonlinear differential state equations with linear function of output. System parameters depend on system states and are switched based on the control system with finite set of states. The relations allowing designing hybrid interval observer of minimal dimension estimating the set of admissible values of the prescribed linear vector function of the system states are derived. To solve the problem, algebra of partitions and linear algebra are used. Theoretical results are illustrated by example.

Palavras-chave

hybrid systems, external disturbances, measurement noise, interval observers, algebra of partitions, linear algebra

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Bibliografia

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