PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2013 | 23 | 4 | 725-730
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The minimum energy control problem for positive continuous-time linear systems with bounded inputs is formulated and solved. Sufficient conditions for the existence of a solution to the problem are established. A procedure for solving the problem is proposed and illustrated with a numerical example.
Rocznik
Tom
23
Numer
4
Strony
725-730
Opis fizyczny
Daty
wydano
2013
otrzymano
2013-04-25
poprawiono
2013-09-27
Twórcy
  • Faculty of Electrical Engineering, Białystok Technical University, ul. Wiejska 45D, 15-351 Białystok, Poland
Bibliografia
  • Busłowicz M. (2008). Stability of linear continuous time fractional order systems with delays of the retarded type, Bulletin of the Polish Academy of Sciences: Technical Sciences 56(4): 319-324.
  • Dzieliński A., Sierociuk D. and Sarwas G. (2009). Ultracapacitor parameters identification based on fractional order model, Proceedings of ECC'09, Budapest, Hungary.
  • Dzieliński A. and Sierociuk D. (2008a). Stability of discrete fractional order state-space systems, Journal of Vibrations and Control 14(9/10): 1543-1556.
  • Farina L. and Rinaldi S. (2000). Positive Linear Systems: Theory and Applications, J. Wiley, New York, NY.
  • Kaczorek T. (1992). Linear Control Systems, Research Studies Press/J.Wiley, New York, NY.
  • Kaczorek T. (2001). Positive 1D and 2D Systems, Springer-Verlag, London.
  • Kaczorek T. (2008a). Fractional positive continuous-time systems and their reachability, International Journal of Applied Mathematics Computer Science 18(2): 223-228, DOI: 10.2478/v10006-008-0020-0.
  • Kaczorek T. (2008b) Practical stability of positive fractional discrete-time linear systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 56(4): 313-317.
  • Kaczorek T. (2008c). Reachability and controllability to zero tests for standard and positive fractional discrete-time systems, Journal Européen des Systèmes Automatisés 42(6-8): 769-787.
  • Kaczorek T. (2009). Asymptotic stability of positive fractional 2D linear systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 57(3): 289-292.
  • Kaczorek T. (2011a) Controllability and observability of linear electrical circuits, Electrical Review 87(9a): 248-254.
  • Kaczorek T. (2011b). Positivity and reachability of fractional electrical circuits, Acta Mechanica et Automatica 5(2): 42-51.
  • Kaczorek T. (2011c). Positive linear systems consisting of n subsystems with different fractional orders, Transactions of IEEE: Circuits and Systems 58(6): 1203-1210.
  • Kaczorek T. (2011d) Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm, Archive of Control Sciences 21(3): 287-298.
  • Kaczorek T. (2012). Selected Problems of Fractional Systems Theory, Springer-Verlag, Berlin.
  • Kaczorek T. (2013a) Minimum energy control of fractional positive continuous-time linear systems, Proceedings of the 18th International Conference on Methods and Models in Automation and Robotics, Międzyzdroje, Poland, NN 514638940.
  • Kaczorek T. (2013b). Minimum Energy Control of Descriptor Positive Discrete-time Linear Systems, Compel, (in press).
  • Kaczorek T. and Klamka J. (1986). Minimum energy control of 2D linear systems with variable coefficients, International Journal of Control 44(3): 645-650.
  • Klamka J. (1991) Controllability of Dynamical Systems, Kluwer Academic Press, Dordrecht.
  • Klamka J. (1983). Minimum energy control of 2D systems in Hilbert spaces, System Sciences 9(1-2): 33-42.
  • Klamka J. (1976). Relative controllability and minimum energy control of linear systems with distributed delays in control, IEEE Transactions on Automatic Control 21(4): 594-595.
  • Klamka J. (2010). Controllability and minimum energy control problem of fractional discrete-time systems, in D. Baleanu, Z.B. Guvenc and J.A. Tenreiro Machado (Eds.), New Trends in Nanotechology and Fractional Calculus, Springer-Verlag, New York, NY, pp. 503-509.
  • Klamka J. (1993). Controllability of dynamical systems-a survey, Archives of Control Sciences 2(3-4): 281-307.
  • Klamka J. (1977). Minimum energy control of discrete systems with delays in control, International Journal of Control 26(5): 737-744.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv23z4p725bwm
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.