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Minimum energy control of positive continuous-time linear systems with bounded inputs

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Języki publikacji
EN
Abstrakty
EN
The minimum energy control problem for the positive continuous-time linear systems with bounded inputs is formulated and solved. Sufficient conditions for the existence of solution to the problem are established. A procedure for solving of the problem is proposed and illustrated by a numerical example.
Rocznik
Strony
19--27
Opis fizyczny
Bibliogr. 24 poz., wz.
Twórcy
autor
  • Faculty of Electrical Engineering Bialystok University of Technology Wiejska 45D, 15-351 Białystok
Bibliografia
  • [1] Busłowicz M., Stability of linear continuous time fractional order systems with delays of the retarded type. Bull. Pol. Acad. Sci. Tech. 56(4): 319-324 (2008).
  • [2] Dzieliński A., Sierociuk D., Sarwas G., Ultracapacitor parameters identification based on fractional order model. Proc ECC’09, Budapest (2009).
  • [3] Dzieliński A., Sierociuk D., Stability of discrete fractional order state-space systems. Journal of Vibrations and Control 14(9/10): 1543-1556 (2008).
  • [4] Farina L., Rinaldi S., Positive Linear Systems; Theory and Applications. J. Wiley, New York (2000).
  • [5] Kaczorek T., Asymptotic stability of positive fractional 2D linear systems. Bull. Pol. Acad. Sci. Tech. 57(3): 289-292 (2009).
  • [6] Kaczorek T., Fractional positive continuous-time systems and their Reachability. Int. J. Appl. Math. Comput. Sci. 18(2): 223-228 (2008).
  • [7] Kaczorek T., Positive 1D and 2D systems. Springer Verlag, London (2001).
  • [8] Kaczorek T., Controllability and observability of linear electrical circuits. Electrical Review 87(9a): 248-254 (2011).
  • [9] Kaczorek T., Positivity and reachability of fractional electrical circuits. Acta Mechanica et Automatica 5(2): 42-51 (2011).
  • [10] Kaczorek T., Positive linear systems consisting of n subsystems with different fractional orders. IEEE Trans. Circuits and Systems 58(6): 1203-1210 (2011).
  • [11] Kaczorek T., Practical stability of positive fractional discrete-time linear systems. Bull. Pol. Acad. Sci. Tech. 56(4): 313-317 (2008).
  • [12] Kaczorek T., Reachability and controllability to zero tests for standard and positive fractional discrete-time systems. Journal Européen des Systèmes Automatisés, JESA, 42(6-8): 769-787 (2008).
  • [13] Kaczorek T., Linear Control Systems. Research Studies Press and J. Wiley, New York (1992).
  • [14] Kaczorek T., Minimum energy control of fractional positive continuous-time linear systems. Submitted to Conf. MMAR (2013).
  • [15] Kaczorek T., Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm. Archive of Control Sciences 21(3): 287-298 (2011).
  • [16] Kaczorek T., Minimum energy control of descriptor positive discrete-time linear systems. Submitted to Compel (2013).
  • [17] Kaczorek T., Selected Problems of Fractional Systems Theory. Springer-Verlag, Berlin (2012).
  • [18] Kaczorek T., Klamka J., Minimum energy control of 2D linear systems with variable coefficients. Int. J. of Control 44(3): 645-650 (1986).
  • [19] Klamka J., Controllability of Dynamical Systems. Kluwer Academic Press, Dordrecht (1991).
  • [20] Klamka J., Minimum energy control of 2D systems in Hilbert spaces. System Sciences 9(1-2): 33-42(1983).
  • [21] Klamka J., Relative controllability and minimum energy control of linear systems with distributed delays in control. IEEE Trans. Autom. Contr. 21(4): 594-595 (1976).
  • [22] Klamka J., Controllability and minimum energy control problem of fractional discrete-time systems. [in:] New Trends in Nanotechology and Fractional Calculus. Eds. Baleanu D., Guvenc Z.B., Tenreiro Machado J.A., Springer-Verlag, pp. 503-509, New York (2010).
  • [23] Klamka J., Controllability of dynamical systems-a survey. Archives of Control Sciences 2(3-4): 281- 307 (1993).
  • [24] Klamka J., Minimum energy control of discrete systems with delays in control. International Journal of Control 26(5): 737-744 (1977).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7a787309-1d07-48a0-acce-c56c8a03e370
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