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2014 | Vol. 62, nr 3 | 495--503
Tytuł artykułu

Stabilization of autonomous linear time invariant fractional order derivative switched systems with different derivative in subsystems

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, the stabilization problem of a autonomous linear time invariant fractional order (LTI-FO) switched system with different derivative order in subsystems is outlined. First, necessary and sufficient condition for stability of an LTI-FO switched system with different derivative order in subsystems based on the convex analysis and linear matrix inequality (LMI) for two subsystems is presented and proved. Also, sufficient condition for stability of an LTI-FO switched system with different derivative order in subsystems for more than two subsystems is proved. Then a sliding sector is designed for each subsystem of the LTI-FO switched system. Finally, a switching control law is designed to switch the LTI-FO switched system among subsystems to ensure the decrease of the norm of the switched system. Simulation results are given to show the effectiveness of the proposed variable structure controller.
Wydawca

Rocznik
Strony
495--503
Opis fizyczny
Bibliogr. 32 poz., rys., wykr.
Twórcy
  • Department of Electrical Engineering, Gonabad Branch, Islamic Azad University, Gonabad/Khorasan-e-Razavi, 96916-29, Iran, saeed.balochian@gmail.com
Bibliografia
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  • [2] Z. Sun and S.S. Ge, Switched Linear Systems Control and Design, Springer-Verlag, London, 2005.
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  • [16] Y. Pan and U. Ozguner, “Stability and performance improvement of extremum seeking control with sliding mode”, Int. J. Control 60, 968–985 (2003).
  • [17] S. Balochian, A. K. Sedigh, and M. Haeri, “Stabilization of fractional order systems using a finite number of state feedback laws”, Nonlinear Dyn. 66, 141–152 (2011).
  • [18] Hai Lin and P.J. Antsaklis, “Stability and stabilizability of switched linear systems: a survey of recent results”, IEEE Trans. Automat. Control 54 (2), 308–322 (2009).
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  • [28] K. Furuta and Y. Pan, “Variable structure control with sliding sector”, Automatica 36, 211–228 (2000).
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Typ dokumentu
Bibliografia
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