Positive Realizations for Descriptor Discrete-Time Linear Systems

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

Conditions for the existence of positive realizations for descriptor discrete-time linear systems are established. A procedure for computation of positive realizations for improper transfer matrices is proposed. The effectiveness of the method is demonstrated on numerical example.

Słowa kluczowe

EN

positive; realization; procedure; descriptor; linear systems

PL

dodatniość; realizacja dodatnia; procedura; deskryptor; systemy liniowe

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2012
• Tom: Vol. 6, no. 2
• Strony: 58--61
• Opis fizyczny: Bibliogr. 19 poz., Rys.

Twórcy

autor

Kaczorek T.

• Faculty of Electrical Engineering, Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, Poland,

Bibliografia

• 1. Benvenuti L., Farina L. (2004), A tutorial on the positive realization problem, IEEE Trans. Autom. Control, Vol. 49, No. 5, 651-664.
• 2. Farina L. Rinaldi S. (2000), Positive Linear Systems, Theory and Applications, J. Wiley, New York.
• 3. Kaczorek T. (1992), Linear Control Systems, Vol.1, Research Studies Press, J. Wiley, New York.
• 4. Kaczorek T. (2002), Positive 1D and 2D Systems, Springer-Verlag, London.
• 5. Kaczorek T. (2004), Realization problem for positive discrete-time systems with delay, System Science, Vol. 30, No. 4, 117-130.
• 6. Kaczorek T. (2005), 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, 293-298.
• 7. Kaczorek T. (2006a), A realization problem for positive continuoustime linear systems with reduced numbers of delays, Int. J. Appl. Math. Comp. Sci., Vol. 16, No. 3, 325-331.
• 8. Kaczorek T. (2006b), Computation of realizations of discrete-time cone systems, Bull. Pol. Acad. Sci. Techn., Vol. 54, No. 3, 347-350.
• 9. Kaczorek T. (2006c), Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs, Int. J. Appl. Math. Comp. Sci., Vol. 16, No. 2, 101-106.
• 10. Kaczorek T. (2008a), Fractional positive continuous-time linear systems and their reachability, Int. J. Appl. Math. Comp. Sci., Vol. 18, No. 2, 223-228.
• 11. Kaczorek T. (2008b), Realization problem for fractional continuoustime systems, Archives of Control Sciences, Vol. 18, No. 1, 43-58.
• 12. Kaczorek T. (2008c), Realization problem for positive 2D hybrid systems, COMPEL, Vol. 27, No. 3, 613-623.
• 13. Kaczorek T. (2009a), Fractional positive linear systems, Kybernetes: The International Journal of Systems and Cybernetics, Vol. 38, No. 7/8, 1059-1078.
• 14. Kaczorek T. (2009b), Polynomial and Rational Matrices, SpringerVerlag, London.
• 15. Kaczorek T. (2011a), Computation of positive stable realization for linear continuous-time systems, Bull. Pol. Acad. Sci. Techn., Vol. 59, No. 3, 273-281.
• 16. Kaczorek T. (2011b), Positive stable realizations of fractional continuous-time linear systems, Int. J. Appl. Math. Comp. Sci., Vol. 21, No. 4, 697-703.
• 17. Kaczorek T. (2011c), Positive stable realizations with system Metzler matrices, Proc. MMAR Conf., 22-25 Sept. 2011, Międzyzdroje, Poland.
• 18. Kaczorek T. (2011d), Selected Problems in Fractional Systems Theory, Springer-Verlag.
• 19. Shaker U. Dixon M. (1977), Generalized minimal realization of transfer-function matrices, Int. J. Contr., Vol. 25, No. 5, 785-803.