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Jordan Canonical Form in Diagnosis and Estimation Problems

  • NONLINEAR SYSTEMS
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Abstract

We propose a method for solving diagnosis and estimation problems based on the Jordan canonical form. The problems of constructing diagnostic observers, virtual sensors, and interval and sliding-mode observers are considered. Algorithms for solving these problems are designed for both linear and nonlinear systems in the presence of exogenous disturbances and measurement noise. It is shown that in some cases, the use of the Jordan canonical form reduces the complexity of the observers and sensors and simplifies the procedure for their synthesis compared with the identification canonical form. This is illustrated by a practical example.

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Funding

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

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Authors and Affiliations

  1. Far Eastern Federal University, Vladivostok, 690090, Russia

    A. N. Zhirabok, A. V. Zuev, A. E. Shumsky &  Kim Chkhun Ir

  2. Institute of Marine Technology Problems, Far-East Branch, Russian Academy of Sciences, Vladivostok, 690091, Russia

    A. N. Zhirabok & A. V. Zuev

  3. Institute of Automation and Control Processes, Far East Branch, Russian Academy of Sciences, Vladivostok, 690041, Russia

    V. F. Filaretov

Authors
  1. A. N. Zhirabok
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  2. A. V. Zuev
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  3. V. F. Filaretov
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  4. A. E. Shumsky
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  5. Kim Chkhun Ir
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Corresponding authors

Correspondence to A. N. Zhirabok, A. V. Zuev, V. F. Filaretov, A. E. Shumsky or Kim Chkhun Ir.

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Translated by V. Potapchouck

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Zhirabok, A.N., Zuev, A.V., Filaretov, V.F. et al. Jordan Canonical Form in Diagnosis and Estimation Problems. Autom Remote Control 83, 1355–1370 (2022). https://doi.org/10.1134/S0005117922090028

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  • DOI: https://doi.org/10.1134/S0005117922090028

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