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On the Zero Dynamics Equations of Some Nonlinear Systems Affine in Control

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Abstract

We consider the problem of determining the equations of zero dynamics of a nonlinear system that is affine with respect to the control. All known methods for solving this problem have a restricted scope. We obtain a new algorithm for solving this problem which permits determining equations of zero dynamics of some systems to which the previously known methods cannot be applied.

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Authors and Affiliations

  1. Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, 310018, China

    V. V. Fomichev

  2. Lomonosov Moscow State University, Moscow, 119991, Russia

    V. V. Fomichev, A. V. Kraev & A. I. Rogovskiy

  3. Center of Information Technologies in Design of the Russian Academy of Sciences, Moscow oblast, Odintsovo, 143003, Russia

    V. V. Fomichev

  4. Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences, Moscow, 117997, Russia

    V. V. Fomichev

Authors
  1. V. V. Fomichev
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  2. A. V. Kraev
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  3. A. I. Rogovskiy
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Corresponding author

Correspondence to V. V. Fomichev.

Additional information

Original Russian Text © V.V. Fomichev, A.V. Kraev, A.I. Rogovskiy, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 12, pp. 1695–1709.

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Fomichev, V.V., Kraev, A.V. & Rogovskiy, A.I. On the Zero Dynamics Equations of Some Nonlinear Systems Affine in Control. Diff Equat 54, 1654–1668 (2018). https://doi.org/10.1134/S001226611812011X

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  • DOI: https://doi.org/10.1134/S001226611812011X

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