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Minimal–phase realizations for positive linear systems

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Warianty tytułu
PL
Minimalno-fazowe realizacje dla dodatnich układów liniowych
Języki publikacji
EN
Abstrakty
EN
The problem of minimal-phase realization for continuous-time and discrete-time linear systems is addressed. Necessary and sufficient conditions for the existence of minimal-phase realizations for the linear systems are established. A procedure for computation of the realizations is proposed and illustrated by numerical examples.
PL
Pracy zaproponowano nową metodę wyznaczanie minimalno-fazowych realizacji dla dodatnich ciągłych i dyskretnych układów liniowych. Podano warunki konieczne i wystarczające na istnienie minimalno-fazowych realizacji dla tych klas układów liniowych. Podano procedurę wyznaczania tych realizacji minimalno-fazowych oraz zlustrowano efektywność tej procedury na przykładach liczbowych.
Rocznik
Strony
750--755, CD
Opis fizyczny
Bibliogr. 31 poz.
Twórcy
autor
  • Politechnika Białostocka, Wydział Elektryczny, ul. Wiejska 45D, 15-351 Białystok
Bibliografia
  • 1. Benvenuti L., Farina L., A tutorial on the positive realization problem. IEEE Trans. on Automatic Control, vol. 49, no. 5, 2004, 651-664.
  • 2. Farina L., Rinaldi S., Positive Linear Systems; Theory and Applications. J. Wiley, New York, 2000.
  • 3. Kaczorek T., A modified state variables diagram method for determination of positive realizations of linear continuous-time systems with delays. Int. J. Appl. Math. Comput. Sci., vol. 22, no. 4, 2012, 897-905.
  • 4. Kaczorek T., A realization problem for positive continuous-time linear systems with reduced numbers of delays. Int. J. Appl. Math. Comput. Sci., vol. 16, no. 3, 2006, 325-331.
  • 5. Kaczorek T., Computation of positive stable realizations for discrete-time linear systems. Computational Problems of Electrical Engineering, vol. 2, no. 1, 2012, 41-48.
  • 6. Kaczorek T., Computation of positive stable realizations for linear continuous-time systems. Bull. Pol. Acad. Techn. Sci., vol. 59, no. 3, 2011, 273-281.
  • 7. Kaczorek T., Computation of realizations of discrete-time cone systems. Bull. Pol. Acad. Sci. Techn., vol. 54, no. 3, 2006, 347-350.
  • 8. Kaczorek T., Determination of positive realizations with reduced numbers of delays or without delays for discrete-time linear systems. Archives of Control Sciences, vol. 22, no. 4, 2012, 371-384.
  • 9. Kaczorek T., Existence and determination of the set of Metzler matrices for given stable polynomials. Int. J. Appl. Math. Comput. Sci., vol. 22, no. 2, 2012, 389-399.
  • 10. Kaczorek T., Linear Control Systems vol. 1. Research Studies Press, J. Wiley, New York, 1992.
  • 11. Kaczorek T., Polynomial and Rational Matrices. Springer-Verlag, London, 2009.
  • 12. Kaczorek T., Positive 1D and 2D Systems. Springer-Verlag, London, 2002.
  • 13. Kaczorek T., Positive and asymptotically stable realizations for descriptor discrete-time linear systems. Bull. Pol. Acad. Sci. Techn., vol. 61, no. 1, 2013, 229-237.
  • 14. Kaczorek T., Positive minimal realizations for singular discrete-time systems with delays in state and delays in control. Bull. Pol. Acad. Sci. Techn., vol. 53, no. 3, 2005, 293-298.
  • 15. Kaczorek T., Positive realizations for descriptor continuous-time linear systems. Measurement Automation and Monitoring, vol. 56, no. 9, 2012, 815-818.
  • 16. Kaczorek T., Positive realizations for descriptor discrete-time linear systems. Acta Mechanica et Automatica, vol. 6, no. 2, 2012, 58-61.
  • 17. Kaczorek T., Positive realizations of hybrid linear systems described by the general model using state variable diagram method. Journal of Automation, Mobile Robotics and Intelligent Systems, vol. 4, no. 4, 2010, 3-10.
  • 18. Kaczorek T., Positive realizations with reduced numbers of delays for 2-D continuous-discrete linear systems. Bull. Pol. Acad. Sci. Techn., vol. 60, no. 4, 2012, 835-840.
  • 19. Kaczorek T., Positive stable realizations for fractional descriptor continuous-time linear systems. Archives of Control Sciences, vol. 22, no. 3, 2012, 255-265.
  • 20. Kaczorek T., Positive stable realizations of continuous-time linear systems. Proc. Conf. Int. Inf. and Eng. Syst., Krynica-Zdrój, 2012, Poland.
  • 21. Kaczorek T., Positive stable realizations of discrete-time linear systems. Bull. Pol. Acad. Sci. Techn., vol. 60, no. 3, 2012, 605-616.
  • 22. Kaczorek T., Positive stable realizations of fractional continuous-time linear systems. Int. J. Appl. Math. Comput. Sci., vol. 21, no. 4, 2011, 697-702.
  • 23. Kaczorek T., Positive stable realizations with system Metzler matrices. Archives of Control Sciences, vol. 21, no. 2, 2011, 167-188.
  • 24. Kaczorek T., Realization problem for descriptor positive fractional continuous-time linear systems. Theory and Applications of Non-integer Order Systems, Eds. W. Mitkowski et al., Springer, 2013, 3-13.
  • 25. Kaczorek T., Realization problem for fractional continuous-time systems. Archives of Control Sciences, vol. 18, no. 1, 2008, 43-58.
  • 26. Kaczorek T., Realization problem for positive 2D hybrid systems. COMPEL, vol. 27, no. 3, 2008, 613-623.
  • 27. Kaczorek T., Realization problem for positive discrete-time systems with delays. System Science, vol. 30, no. 4, 2004, 117-130.
  • 28. Kaczorek T., Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs. Int. J. Appl. Math. Comput. Sci., vol. 16, no. 2, 2006, 101-106.
  • 29. Kaczorek T., Sajewski Ł., Realization Problem for Positive and Fractional Systems, Springer, 2014.
  • 30. Kaczorek T., Selected Problems in Fractional Systems Theory. Springer-Verlag, 2011.
  • 31. Shaked U., Dixon M., Generalized minimal realization of transfer-function matrices. Int. J. Contr., vol. 25, no. 5, 1977, 785-803.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-fce98282-1cba-449e-aa9b-7e8ab1ba2a08
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