Sufficient conditions for uniform global asymptotic stabilization of affine discrete-time systems with periodic coefficients

• Autorzy: Czornik Adam , Makarov Evgenii , Niezabitowski Michał , Popova Svetlana , Zaitsev Vasilii

Identyfikatory

DOI

10.24425/acs.2021.136881

• Języki publikacji: EN

Abstrakty

EN

Affine discrete-time control periodic systems are considered. The problem of global asymptotic stabilization of the zero equilibrium of the closed-loop system by state feedback is studied. It is assumed that the free dynamic system has the Lyapunov stable zero equilibrium. The method for constructing a damping control is extended from time-invariant systems to time varying periodic affine discrete-time systems. By using this approach, sufficient conditions for uniform global asymptotic stabilization for those systems are obtained. Examples of using the obtained results are presented.

Słowa kluczowe

EN

discrete-time systems; periodic systems; affine systems; uniform global asymptotic stabilization; state feedback

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2021
• Tom: Vol. 31, No. 1
• Strony: 81--98
• Opis fizyczny: Bibliogr. 21 poz., wzory

Twórcy

autor

Czornik Adam

• Faculty of Automatic Control, Electronics and Computer Science, Silesian University of Technology, 44-100 Gliwice, Poland

autor

Makarov Evgenii

• Institute of Mathematics, National Academy of Sciences of Belarus, 220072 Minsk, Belarus

autor

Niezabitowski Michał

• Faculty of Automatic Control, Electronics and Computer Science, Silesian University of Technology, 44-100 Gliwice, Poland

autor

Popova Svetlana

• Udmurt State University, 426034 Izhevsk, Russia

autor

Zaitsev Vasilii

• Udmurt State University, 426034 Izhevsk, Russia

Bibliografia

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Uwagi

1. The research of the first and third authors were financed by the National Science Centre in Poland granted according to decision DEC-2017/25/B/ST7/02888. The work of the fourth author was funded by the Ministry of Science and Higher Education of the Russian Federation in the framework of state assignment No. 075-00232-20-01, project FEWS-2020-0010 “Development of the theory and methods of control and stabilization of dynamical systems” and by the Russian Foundation for Basic Research (project 20–01–00293). The work of the fifth author was funded by the Polish National Agency for Academic Exchange NAWA (the Ulam program) granted according to the decision No. PPN/ULM/2019/1/00287/DEC/1.

2. Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).