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Automation and Remote Control

, Volume 79, Issue 6, pp 1074–1085 | Cite as

Fradkov Theorem-Based Control of MIMO Nonlinear Lurie Systems

  • A. A. Pyrkin
  • S. V. Aranovskiy
  • A. A. Bobtsov
  • S. A. Kolyubin
  • N. A. Nikolaev
Topical Issue

Abstract

Consideration was given to the problem of adaptive output control of the class of MIMO (Multiple Input Multiple Output) systems that are functionally and parametrically uncertain. An approach to the design of the control law ensuring stabilization of the MIMO nonlinear Lurie system, that is, a system consisting of the linear part (strictly minimum-phase unit) and nonlinear static feedback unit, was proposed on the basis of the Fradkov theorem on feedback passification of linear systems.

Keywords

nonlinear systems MIMO systems consecutive compensator output control parametrical uncertainty 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • A. A. Pyrkin
    • 1
    • 2
  • S. V. Aranovskiy
    • 2
    • 3
  • A. A. Bobtsov
    • 2
    • 4
  • S. A. Kolyubin
    • 2
  • N. A. Nikolaev
    • 2
  1. 1.Hangzhou Dianzi UniversityHangzhouChina
  2. 2.ITMO University (National Research University of Information Technologies, Mechanics and Optics)St. PetersburgRussia
  3. 3.CentraleSupélec—IETRCesson-SévignéFrance
  4. 4.Institute of Problems of Mechanical EngineeringRussian Academy of SciencesSt. PetersburgRussia

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