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Avtomat. i Telemekh., 2018, Issue 6, Pages 140–154 (Mi at15091)  

Topical issue

Fradkov theorem-based control of MIMO nonlinear Lurie systems

A. A. Pyrkinab, S. V. Aranovskiybc, A. A. Bobtsovbd, S. A. Kolyubinb, N. A. Nikolaevb

a Hangzhou Dianzi University, Hangzhou, China
b ITMO University (National Research University of Information Technologies, Mechanics and Optics), St. Petersburg, Russia
c CentraleSupélec — IETR, Cesson-Sévigné, France
d Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

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.

Funding Agency Grant Number
Russian Science Foundation 16-11-00049
This work was supported by the Russian Science Foundation, project no. 16-11-00049 of January 21, 2016.


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English version:
Automation and Remote Control, 2018, 79:6, 1074–1085

Bibliographic databases:

Presented by the member of Editorial Board: . . 

Received: 09.11.2017

Citation: A. A. Pyrkin, S. V. Aranovskiy, A. A. Bobtsov, S. A. Kolyubin, N. A. Nikolaev, “Fradkov theorem-based control of MIMO nonlinear Lurie systems”, Avtomat. i Telemekh., 2018, no. 6, 140–154; Autom. Remote Control, 79:6 (2018), 1074–1085

Citation in format AMSBIB
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\paper Fradkov theorem-based control of MIMO nonlinear Lurie systems
\jour Avtomat. i Telemekh.
\yr 2018
\issue 6
\pages 140--154
\mathnet{http://mi.mathnet.ru/at15091}
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\jour Autom. Remote Control
\yr 2018
\vol 79
\issue 6
\pages 1074--1085
\crossref{https://doi.org/10.1134/S0005117918060073}
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