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Fractional descriptor observers for fractional descriptor continuous-time linear system

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Fractional descriptor full-order observers for fractional descriptor continuous-time linear systems are proposed. Necessary and sufficient conditions for the existence of the observers are established. The design procedure of the observers is demonstrated on two numerical examples.
Rocznik
Strony
27--37
Opis fizyczny
Bibliogr. 26 poz., rys.
Twórcy
autor
  • Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Bialystok, Poland
Bibliografia
  • [1] M. Dodig and M. Stosic: Singular systems state feedbacks problems. Linear Algebra and its Applications, 431(8), (2009), 1267-1292.
  • [2] W. Cuihong: New delay-dependent stability criteria for descriptor systems with interval time delay. Asian J. of Control, 14(1), (2012), 197-206.
  • [3] L. Dai: Singular Control Systems. Lecture Notes in Control and Information Sciences, Springer-Verlag, Berlin, (1989).
  • [4] M. H. Fahmy and J. O’Reill: Matrix pencil of closed-loop descriptor systems: infinite-eigenvalue sassignment. Int. J. Control, 49(4), (1989), 1421-1431.
  • [5] F. R. Gantmacher: The Theory of Matrices. Chelsea Publishing Co., New York, 1998.
  • [6] Duan Guang-Ren: Analysis and Design of Descriptor Linear Systems, Springer, New York, 2010.
  • [7] T. Kaczorek: Checking of the positivity of descriptor linear systems with singular pencils. Archive of Control Science, 22(1), (2010), 77-86.
  • [8] T. Kaczorek: Descriptor fractional linear system with regular pencils. Int. J.Appl. Math. Comp. Sci., 23(2), (2013), 309-315.
  • [9] T. Kaczorek: Descriptor fractional linear systems with regular pencils. Asian J. of Control, 15(4), (2013), 1-14.
  • [10] T. Kaczorek: Full-order perfect observers for continuous-time linear systems, Bull. Pol. Acad. Sci. Techn., 49(4), (2001), 549-558.
  • [11] T. Kaczorek: Fractional positive continuous-time linear systems and their reachability.Int. J. Appl. Math. Vcomput. Sci., 18(2), (2008), 223-228.
  • [12] T. Kaczorek: Infinite eigenvalue assignment by output-feedbacks for singular systems. Int. J. Appl. Math. Comp. Sci., 14(1), (2004), 19-23.
  • [13] T. Kaczorek: Linear Control Systems, 1, Research Studies Press, J. Wiley, New York, 1992.
  • [14] T. Kaczorek: Positive linear systems consisting of n subsystems with different fractional orders. IEEE Trans. on Circuits and Systems, 58(7), (2011), 1203-1210.
  • [15] T. Kaczorek: Positive fractional continuous-time linear systems with singular pencils. Bull. Pol. Acad. Sci. Techn., 60(1), (2012), 9-12.
  • [16] T. Kaczorek: Selected Problems of Fractional Systems Theory. Springer-Verlag, Berlin, 2011.
  • [17] R. Kociszewski: Observer synthesis for linear discrete-time systems with different fractional orders. Pomiary Automatyka Robotyka (PAR), 2 (2013), 376-381, (CD-ROM).
  • [18] V. Kucera And P. Zagalak: Fundamental theorem of state feedback for singular systems. Automatica, 24(5), (1988), 653-658.
  • [19] F. L. Lewis: Descriptor systems, expanded descriptor systems and Markov parameters.IEEE Trans. Autom. Contr., 28(5), (1983), 623-624.
  • [20] D. G. Luenberger: Time-invariant descriptor systems. Automatica, 14 (1978), 473-480..
  • [21] D. G. Luenberger: Dynamical equations in descriptor form. IEEE Trans. Autom.Contr., 22(3), (1977), 312-321.
  • [22] D. G. Luenberger: Time-invariant descriptor systems. Automatica, 14 (1978), 473-480.[
  • [23] I. N’doye, M. Darouch, H. Voos and M. Zasadzinski: Design of unknown input fractional-order observers for fractional systems. Int. J. Appl. Math. Comput.Sci., 23(3), (2013), 491-500.
  • [24] I. Podlubny: Fractional Differential Equations. Academic Press, New York, 1999.
  • [25] P. Van Dooren: The computation of Kronecker’s canonical form of a singular pencil. Linear Algebra and its Applications, 27 (1979), 103-140.
  • [26] E. Virnik: Stability analysis of positive descriptor systems. Linear Algebra and its Applications, 429 (2008), 2640-2659.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-51fb2c32-d01d-436d-b5d0-5e5efa0a875c
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