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Avtomatika i Telemekhanika, 2019, Issue 11, Pages 59–82
DOI: https://doi.org/10.1134/S0005231019110035 (Mi at15136) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Nonlinear Systems

State estimation and stabilization of discrete-time systems with uncertain nonlinearities and disturbances

A. I. Malikovab

a Institute of Mechanics and Engineering, Kazan Research Center, Russian Academy of Sciences, Kazan, Russia
b Tupolev National Research Technical University (KAI), Kazan, Russia
Full-text PDF (1156 kB) Citations (9)
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DOI: https://doi.org/10.1134/S0005231019110035
Abstract: Nonautonomous discrete-time control systems with uncertain nonlinearities and bounded external disturbances are considered. Based on the method of matrix comparison systems and the technique of difference linear matrix inequalities, an approach to solve the problems of state estimation, finite time boundedness with respect to given sets, the suppression of initial deviations and uncertain disturbances using a linear state feedback controller is developed. A method to design a controller with variable coefficients that guarantees the transition from one given ellipsoid to another under any disturbances bounded by the $L_\infty$ norm is proposed.
Keywords: nonautonomous discrete-time systems with Lipschitz nonlinearities, uncertain disturbances, state estimation, finite time boundedness, controller design.
Funding agency Grant number
Russian Foundation for Basic Research 18-08-01045_a
Russian Academy of Sciences - Federal Agency for Scientific Organizations 7
This work was supported in part by the Russian Foundation for Basic Research, project no. 18-08-01045a (Sections 2–4) and by RAS Basic Research Programs no. 7 “New Developments in Promising Areas of Energy, Mechanics and Robotics” (Sections 5 and 6).

Received: 05.10.2018
Revised: 02.03.2019
Accepted: 25.04.2019
English version:
Automation and Remote Control, 2019, Volume 80, Issue 11, Pages 1976–1995
DOI: https://doi.org/10.1134/S0005117919110031
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Malikov, “State estimation and stabilization of discrete-time systems with uncertain nonlinearities and disturbances”, Avtomat. i Telemekh., 2019, no. 11, 59–82; Autom. Remote Control, 80:11 (2019), 1976–1995
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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