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Method to Design Interval Observers for Linear Time-Invariant Systems

  • SYSTEM THEORY AND GENERAL CONTROL THEORY
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Abstract

The problem of designing interval observers for linear dynamical systems with uncertainty is considered. The relations to construct an interval observer of the minimal complexity are derived. This observer estimates the set of admissible values for a given linear function of the system state vector. The theoretical results are illustrated by an example.

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Funding

This work was supported by the Russian Science Foundation (project no. 22-29-01303).

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Correspondence to A. N. Zhirabok.

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The authors declare that they have no conflicts of interet.

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Translated by A. Mazurov

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Zhirabok, A.N., Zuev, V.V. & Ir, K.C. Method to Design Interval Observers for Linear Time-Invariant Systems. J. Comput. Syst. Sci. Int. 61, 485–495 (2022). https://doi.org/10.1134/S1064230722040153

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  • DOI: https://doi.org/10.1134/S1064230722040153

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