Email this article On the Zero Dynamics Equations of Some Nonlinear Systems Affine in Control
- Authors: Fomichev V.V.1,2,3,4, Kraev A.V.2, Rogovskiy A.I.2
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Affiliations:
- Department of Mathematics, School of Science
- Lomonosov Moscow State University
- Center of Information Technologies in Design of the Russian Academy of Sciences
- Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences
- Issue: Vol 54, No 12 (2018)
- Pages: 1654-1668
- Section: Control Theory
- URL: https://journals.rcsi.science/0012-2661/article/view/154904
- DOI: https://doi.org/10.1134/S001226611812011X
- ID: 154904
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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.
About the authors
V. V. Fomichev
Department of Mathematics, School of Science; Lomonosov Moscow State University; Center of Information Technologies in Design of the Russian Academy of Sciences; Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences
Author for correspondence.
Email: fomichev@cs.msu.ru
China, Hangzhou, 310018; Moscow, 119991; Moscow oblast, Odintsovo, 143003; Moscow, 117997
A. V. Kraev
Lomonosov Moscow State University
Email: fomichev@cs.msu.ru
Russian Federation, Moscow, 119991
A. I. Rogovskiy
Lomonosov Moscow State University
Email: fomichev@cs.msu.ru
Russian Federation, Moscow, 119991
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