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

Katedra Automatyki i Robotyki (RAU/RAU3)

Belarus Academy of Sciences
Udmurt State University

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

2 Cytowania z bazy Scopus

Abstrakt

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.

Język oryginału	angielski
Tytuł publikacji goszczącej	2020 59th IEEE Conference on Decision and Control, CDC 2020
Wydawca	Institute of Electrical and Electronics Engineers Inc.
Strony	4646-4652
Liczba stron	7
ISBN (elektroniczny)	9781728174471
Identyfikatory DOI	https://doi.org/10.1109/CDC42340.2020.9304253
Status publikacji	Opublikowano - 14 gru 2020
Wydarzenie	59th IEEE Conference on Decision and Control, CDC 2020 - Virtual, Jeju Island, Korea, Republika Czas trwania: 14 gru 2020 → 18 gru 2020

Seria publikacji

Nazwa	Proceedings of the IEEE Conference on Decision and Control
Tom	2020-December
ISSN (drukowany)	0743-1546
ISSN (elektroniczny)	2576-2370

Konferencja

Konferencja	59th IEEE Conference on Decision and Control, CDC 2020
Kraj/Terytorium	Korea, Republika
Miejscowość	Virtual, Jeju Island
Okres	14/12/20 → 18/12/20

Obszary tematyczne ASJC Scopus

Inżynieria sterowania i systemów
Modelowanie i symulacja
Sterowanie i optymalizacja

Uzyskaj dostęp do dokumentu

10.1109/CDC42340.2020.9304253

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Link do publikacji w Scopus

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

@inproceedings{87feea00462741b08881b320c58dee6f,

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",

note = "Publisher Copyright: {\textcopyright} 2020 IEEE.; 59th IEEE Conference on Decision and Control, CDC 2020 ; Conference date: 14-12-2020 Through 18-12-2020",

year = "2020",

month = dec,

day = "14",

doi = "10.1109/CDC42340.2020.9304253",

language = "English",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "2020 59th IEEE Conference on Decision and Control, CDC 2020",

address = "United States",

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Czornik, A, Makarov, E, Niezabitowski, M, Popova, S & Zaitsev, V 2020, Uniform Asymptotic Stabilization of Affine Periodic Discrete-Time Systems. w 2020 59th IEEE Conference on Decision and Control, CDC 2020., 9304253, Proceedings of the IEEE Conference on Decision and Control, tom 2020-December, Institute of Electrical and Electronics Engineers Inc., str. 4646-4652, 59th IEEE Conference on Decision and Control, CDC 2020, Virtual, Jeju Island, Korea, Republika, 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 i in.
2020 59th IEEE Conference on Decision and Control, CDC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. str. 4646-4652 9304253 (Proceedings of the IEEE Conference on Decision and Control; Tom 2020-December).

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

TY - GEN

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

Y1 - 2020/12/14

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.

UR - https://www.scopus.com/pages/publications/85099880864

U2 - 10.1109/CDC42340.2020.9304253

DO - 10.1109/CDC42340.2020.9304253

M3 - Conference contribution

AN - SCOPUS:85099880864

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 4646

EP - 4652

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

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 59th IEEE Conference on Decision and Control, CDC 2020

Y2 - 14 December 2020 through 18 December 2020

ER -

Czornik A, Makarov E, Niezabitowski M, Popova S, Zaitsev V. Uniform Asymptotic Stabilization of Affine Periodic Discrete-Time Systems. W 2020 59th IEEE Conference on Decision and Control, CDC 2020. Institute of Electrical and Electronics Engineers Inc. 2020. str. 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

Abstrakt

Seria publikacji

Konferencja

Obszary tematyczne ASJC Scopus

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