Uniform Asymptotic Stabilization of Affine Periodic Discrete-Time Systems

Adam Czornik; Evgenii Makarov; Michal Niezabitowski; Svetlana Popova; Vasilii Zaitsev

doi:10.1109/CDC42340.2020.9304253

Uniform Asymptotic Stabilization of Affine Periodic Discrete-Time Systems

Adam Czornik
, Evgenii Makarov
, Michal Niezabitowski
, Svetlana Popova
, Vasilii Zaitsev

Department of Automatic Control and Robotics (RAU/RAU3)

Belarus Academy of Sciences
Udmurt State University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Citations (Scopus)

Abstract

In this article, we study the problem of asymptotic stabilization for nonlinear affine discrete-time control systems with periodic coefficients via state feedback. It is supposed that the origin of the free dynamic system is (non-asymptotically) stable. The method for constructing a damping control is extended from time-invariant systems to time varying periodic affine discrete-time systems. This method is based on the Krasovsky-La Salle invariance principle for periodic systems. Using this approach, we obtain sufficient conditions for uniform local and global asymptotic stabilization for those systems.

Original language	English
Title of host publication	2020 59th IEEE Conference on Decision and Control, CDC 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4646-4652
Number of pages	7
ISBN (Electronic)	9781728174471
DOIs	https://doi.org/10.1109/CDC42340.2020.9304253
Publication status	Published - 14 Dec 2020
Event	59th IEEE Conference on Decision and Control, CDC 2020 - Virtual, Jeju Island, Korea, Republic of Duration: 14 Dec 2020 → 18 Dec 2020

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2020-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	59th IEEE Conference on Decision and Control, CDC 2020
Country/Territory	Korea, Republic of
City	Virtual, Jeju Island
Period	14/12/20 → 18/12/20

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC42340.2020.9304253

Cite this

Czornik, A., Makarov, E., Niezabitowski, M., Popova, S., & Zaitsev, V. (2020). Uniform Asymptotic Stabilization of Affine Periodic Discrete-Time Systems. In 2020 59th IEEE Conference on Decision and Control, CDC 2020 (pp. 4646-4652). Article 9304253 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2020-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC42340.2020.9304253

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title = "Uniform Asymptotic Stabilization of Affine Periodic Discrete-Time Systems",

abstract = "In this article, we study the problem of asymptotic stabilization for nonlinear affine discrete-time control systems with periodic coefficients via state feedback. It is supposed that the origin of the free dynamic system is (non-asymptotically) stable. The method for constructing a damping control is extended from time-invariant systems to time varying periodic affine discrete-time systems. This method is based on the Krasovsky-La Salle invariance principle for periodic systems. Using this approach, we obtain sufficient conditions for uniform local and global asymptotic stabilization for those systems.",

author = "Adam Czornik and Evgenii Makarov and Michal Niezabitowski and Svetlana Popova and Vasilii Zaitsev",

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doi = "10.1109/CDC42340.2020.9304253",

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Czornik, A, Makarov, E, Niezabitowski, M, Popova, S & Zaitsev, V 2020, Uniform Asymptotic Stabilization of Affine Periodic Discrete-Time Systems. in 2020 59th IEEE Conference on Decision and Control, CDC 2020., 9304253, Proceedings of the IEEE Conference on Decision and Control, vol. 2020-December, Institute of Electrical and Electronics Engineers Inc., pp. 4646-4652, 59th IEEE Conference on Decision and Control, CDC 2020, Virtual, Jeju Island, Korea, Republic of, 14/12/20. https://doi.org/10.1109/CDC42340.2020.9304253

Uniform Asymptotic Stabilization of Affine Periodic Discrete-Time Systems. / Czornik, Adam; Makarov, Evgenii; Niezabitowski, Michal et al.
2020 59th IEEE Conference on Decision and Control, CDC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. p. 4646-4652 9304253 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2020-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Uniform Asymptotic Stabilization of Affine Periodic Discrete-Time Systems

AU - Czornik, Adam

AU - Makarov, Evgenii

AU - Niezabitowski, Michal

AU - Popova, Svetlana

AU - Zaitsev, Vasilii

PY - 2020/12/14

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N2 - In this article, we study the problem of asymptotic stabilization for nonlinear affine discrete-time control systems with periodic coefficients via state feedback. It is supposed that the origin of the free dynamic system is (non-asymptotically) stable. The method for constructing a damping control is extended from time-invariant systems to time varying periodic affine discrete-time systems. This method is based on the Krasovsky-La Salle invariance principle for periodic systems. Using this approach, we obtain sufficient conditions for uniform local and global asymptotic stabilization for those systems.

AB - In this article, we study the problem of asymptotic stabilization for nonlinear affine discrete-time control systems with periodic coefficients via state feedback. It is supposed that the origin of the free dynamic system is (non-asymptotically) stable. The method for constructing a damping control is extended from time-invariant systems to time varying periodic affine discrete-time systems. This method is based on the Krasovsky-La Salle invariance principle for periodic systems. Using this approach, we obtain sufficient conditions for uniform local and global asymptotic stabilization for those systems.

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DO - 10.1109/CDC42340.2020.9304253

M3 - Conference contribution

AN - SCOPUS:85099880864

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 4646

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BT - 2020 59th IEEE Conference on Decision and Control, CDC 2020

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ER -

Czornik A, Makarov E, Niezabitowski M, Popova S, Zaitsev V. Uniform Asymptotic Stabilization of Affine Periodic Discrete-Time Systems. In 2020 59th IEEE Conference on Decision and Control, CDC 2020. Institute of Electrical and Electronics Engineers Inc. 2020. p. 4646-4652. 9304253. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC42340.2020.9304253

Uniform Asymptotic Stabilization of Affine Periodic Discrete-Time Systems

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