Email this article Reduction of systems to a form with relative degree using dynamic output transformation
- Authors: Fomichev V.V.1,2,3,4, Kraev A.V.1,2,3,4, Rogovskiy A.I.1,2,3,4
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Affiliations:
- Department of Mathematics, School of Science
- Lomonosov Moscow State University
- Center of Information Technologies in Design
- Institute of Control Sciences of Russian Academy of Sciences
- Issue: Vol 53, No 5 (2017)
- Pages: 686-700
- Section: Control Theory
- URL: https://journals.rcsi.science/0012-2661/article/view/154406
- DOI: https://doi.org/10.1134/S0012266117050123
- ID: 154406
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Abstract
A form with the extraction of the zero dynamics is the most convenient canonical form of a linear time-independent multivariable control system. Only systems with vector relative degree can be reduced to such a form. There exist control systems that, together with any system obtained from them by a time-independent change of outputs, have no relative degree. To ensure the relative degree conditions, we suggest to use an invertible dynamic change of measured outputs of the system, which allows one to solve the problem on the reduction of a linear time-independent MIMO-system to a form with relative degree in the most general case.
About the authors
V. V. Fomichev
Department of Mathematics, School of Science; Lomonosov Moscow State University; Center of Information Technologies in Design; Institute of Control Sciences of Russian Academy of Sciences
Author for correspondence.
Email: fomichev@cs.msu.ru
China, Hangzhou; Moscow, 119992; Odintsovo, Moscow Region, 143000; Moscow, 117997
A. V. Kraev
Department of Mathematics, School of Science; Lomonosov Moscow State University; Center of Information Technologies in Design; Institute of Control Sciences of Russian Academy of Sciences
Email: fomichev@cs.msu.ru
China, Hangzhou; Moscow, 119992; Odintsovo, Moscow Region, 143000; Moscow, 117997
A. I. Rogovskiy
Department of Mathematics, School of Science; Lomonosov Moscow State University; Center of Information Technologies in Design; Institute of Control Sciences of Russian Academy of Sciences
Email: fomichev@cs.msu.ru
China, Hangzhou; Moscow, 119992; Odintsovo, Moscow Region, 143000; Moscow, 117997
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