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Robust control of linear singularly perturbed plants

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Abstract

Control problem is solved for a linear plant having mathematical model in the form of singularly perturbed differential equations with a priori unknown parameters. Control algorithms are proposed ensuring compensation of parametric and external perturbations with the required accuracy. In addition, conditions when the initial model allows for decomposing into fast and slow components are derived. The obtained results are numerically illustrated.

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Authors and Affiliations

  1. Astrakhan State Technical University, Astrakhan, Russia

    A. M. Tsykunov

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  1. A. M. Tsykunov
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Original Russian Text © A.M. Tsykunov, 2010, published in Problemy Upravleniya, 2010, No. 2, pp. 2–10.

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Tsykunov, A.M. Robust control of linear singularly perturbed plants. Autom Remote Control 72, 1776–1789 (2011). https://doi.org/10.1134/S0005117911080169

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  • DOI: https://doi.org/10.1134/S0005117911080169

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