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Attraction domain estimate for single-input affine systems with constrained control

  • Nonlinear Systems
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Abstract

Nonlinear single-input affine systems represented in a canonical (normal) form are considered. The control resource is assumed to be constrained. For a closed-loop system obtained by applying a linearizing feedback, the problem of finding an estimate of the attraction domain is set. A method for constructing an ellipsoidal estimate that is based on results of absolute stability theory is suggested. Construction of the estimate reduces to solving a system of linear matrix inequalities. The discussion is illustrated by numerical examples.

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Authors and Affiliations

  1. Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    A. V. Pesterev

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  1. A. V. Pesterev
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Correspondence to A. V. Pesterev.

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Original Russian Text © A.V. Pesterev, 2017, published in Avtomatika i Telemekhanika, 2017, No. 4, pp. 3–20.

This paper was recommended for publication by A.P. Kurdyukov, a member of the Editorial Board

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Pesterev, A.V. Attraction domain estimate for single-input affine systems with constrained control. Autom Remote Control 78, 581–594 (2017). https://doi.org/10.1134/S0005117917040014

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  • DOI: https://doi.org/10.1134/S0005117917040014

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