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Differential Equations

, Volume 53, Issue 5, pp 686–700 | Cite as

Reduction of systems to a form with relative degree using dynamic output transformation

  • V. V. FomichevEmail author
  • A. V. Kraev
  • A. I. Rogovskiy
Control Theory

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.

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  • V. V. Fomichev
    • 1
    • 2
    • 3
    • 4
    Email author
  • A. V. Kraev
    • 1
    • 2
    • 3
    • 4
  • A. I. Rogovskiy
    • 1
    • 2
    • 3
    • 4
  1. 1.Department of Mathematics, School of ScienceHangzhou Dianzi UniversityHangzhouChina
  2. 2.Lomonosov Moscow State UniversityMoscowRussia
  3. 3.Center of Information Technologies in DesignRussian Academy of SciencesOdintsovo, Moscow RegionRussia
  4. 4.Institute of Control Sciences of Russian Academy of SciencesMoscowRussia

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