Adaptive stabilization by delay with biased measurements

Denis Efimov; Stanislav Aranovskiy; Emilia Fridman; Dimitry Sokolov; Jian Wang; Alexey A. Bobtsov

doi:10.1016/j.ifacol.2020.12.2234

Adaptive stabilization by delay with biased measurements

Denis Efimov^*, Stanislav Aranovskiy, Emilia Fridman, Dimitry Sokolov, Jian Wang, Alexey A. Bobtsov

^*Corresponding author for this work

School of Electrical Engineering

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

The problem of output robust adaptive stabilization for a class of Lipschitz nonlinear systems is studied under assumption that the measurements are available with a constant bias. The state reconstruction is avoided by using delayed values of the output in the feedback and adaptation laws. The control and adaptation gains can be selected as a solution of the proposed linear matrix inequalities (LMIs). The efficiency of the presented approach is demonstrated on a nonlinear pendulum through simulations.

Original language	English
Pages (from-to)	1684-1689
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	53
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.2234
State	Published - 2020
Event	21st IFAC World Congress 2020 - Berlin, Germany Duration: 12 Jul 2020 → 17 Jul 2020

Funding

Funders	Funder number
Ministry of Education and Science of the Russian Federation	2019-0898
Israel Science Foundation	673/19
Government Council on Grants, Russian Federation	08-08
Higher Education Discipline Innovation Project	D17019

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10.1016/j.ifacol.2020.12.2234

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title = "Adaptive stabilization by delay with biased measurements",

abstract = "The problem of output robust adaptive stabilization for a class of Lipschitz nonlinear systems is studied under assumption that the measurements are available with a constant bias. The state reconstruction is avoided by using delayed values of the output in the feedback and adaptation laws. The control and adaptation gains can be selected as a solution of the proposed linear matrix inequalities (LMIs). The efficiency of the presented approach is demonstrated on a nonlinear pendulum through simulations.",

author = "Denis Efimov and Stanislav Aranovskiy and Emilia Fridman and Dimitry Sokolov and Jian Wang and Bobtsov, {Alexey A.}",

note = "Publisher Copyright: Copyright {\textcopyright} 2020 The Authors. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0); 21st IFAC World Congress 2020 ; Conference date: 12-07-2020 Through 17-07-2020",

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AU - Efimov, Denis

AU - Aranovskiy, Stanislav

AU - Fridman, Emilia

AU - Sokolov, Dimitry

AU - Wang, Jian

AU - Bobtsov, Alexey A.

PY - 2020

Y1 - 2020

N2 - The problem of output robust adaptive stabilization for a class of Lipschitz nonlinear systems is studied under assumption that the measurements are available with a constant bias. The state reconstruction is avoided by using delayed values of the output in the feedback and adaptation laws. The control and adaptation gains can be selected as a solution of the proposed linear matrix inequalities (LMIs). The efficiency of the presented approach is demonstrated on a nonlinear pendulum through simulations.

AB - The problem of output robust adaptive stabilization for a class of Lipschitz nonlinear systems is studied under assumption that the measurements are available with a constant bias. The state reconstruction is avoided by using delayed values of the output in the feedback and adaptation laws. The control and adaptation gains can be selected as a solution of the proposed linear matrix inequalities (LMIs). The efficiency of the presented approach is demonstrated on a nonlinear pendulum through simulations.

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AN - SCOPUS:85107704538

SN - 2405-8963

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JF - IFAC-PapersOnLine

T2 - 21st IFAC World Congress 2020

Y2 - 12 July 2020 through 17 July 2020

ER -

Adaptive stabilization by delay with biased measurements

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