A new method for determination of positive realizations of linear continuous-time systems

• Autorzy: Kaczorek T.

Identyfikatory

DOI

10.24425/bpas.2018.124276

• Języki publikacji: EN

Abstrakty

EN

A new method for determination of positive realizations of given transfer matrices of linear continuous-time linear systems is proposed. Necessary and sufficient conditions for the existence of positive realizations of transfer matrices are presented. A procedure for computation of the positive realizations is proposed and illustrated by an example.

Słowa kluczowe

EN

determination; positive; realization; transfer matrix; linear; continuous-time; system

PL

determinacja; pozytyw; realizacja; liniowość; ciągłość; system

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2018
• Tom: Vol. 66, nr 5
• Strony: 605--611
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

Kaczorek T.

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

Bibliografia

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• [2] T. Kaczorek, Positive 1D and 2D Systems, Springer-Verlag, London, 2002.
• [3] T. Kaczorek, Linear Control Systems: Analysis of Multivariable Systems, J. Wiley & Sons, New York, 1992.
• [4] T. Kaczorek, Polynomial and Rational Matrices, Springer-Verlag, London, 2007.
• [5] T. Kaczorek, Selected Problems of Fractional Systems Theory, Springer-Verlag, 2011.
• [6] T. Kaczorek and Ł. Sajewski, The Realization Problem for Positive and Fractional Systems, Springer, 2014.
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• [12] M. Busłowicz and T. Kaczorek, “Minimal realization for positive multivariable linear systems with delay”, Int. J. Appl. Math. Comput. Sci., 14(2), 181‒187 (2004).
• [13] Ł. Sajewski, “Positive stable minimal realization of fractional discrete-time linear systems”, Advances in the Theory and Applications of Non-integer Order Systems [5th Conference on Non-integer Order Calculus and Its Applications] eds. W. Mitkowski, J. Kacprzyk, J. Baranowski, Poland in Lecture Notes in Electrical Engineering, 257, 15‒30 (2013).
• [14] T. Kaczorek, “A modified state variable diagram method for determination of positive realizations of linear continuous-time systems with delays”, Int. J. Appl. Math. Comput. Sci., 22(4), 897‒905 (2012).
• [15] T. Kaczorek, “Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs”, Int. J. Appl. Math. Comput. Sci., 16(2), 169‒174 (2006).
• [16] T. Kaczorek, “Realization problem for positive discrete-time systems with delays”, System Science, 30(4), 117‒130 (2004).
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• [18] T. Kaczorek, “Computation of positive stable realizations for linear continuous-time systems”, Bull. Pol. Ac.: Tech., 59(3), 273‒281 (2011).
• [19] T. Kaczorek, “Positive stable realizations of continuous-time linear systems”, Proc. Conf. Int. Inf. and Eng. Syst., Krynica-Zdrój, Poland, 17‒21 September (2012).
• [20] T. Kaczorek, “Positive stable realizations for fractional descriptor continuous-time linear systems”, Archives of Control Sciences, 22(3), 255‒265 (2012).
• [21] T. Kaczorek, “Positive stable realizations with system Metzler matrices”, Archives of Control Sciences, 21(2), 167‒188 (2011).
• [22] T. Kaczorek, “Realization problem for fractional continuous-time systems”, Archives of Control Sciences, 18(1), 43‒58 (2008).
• [23] Ł. Sajewski, “Positive stable realization of fractional discrete-time linear systems”, Asian Journal of Control, 16(3), 922‒927, 2014.
• [24] Ł. Sajewski, “Positive realization of fractional continuous-time linear systems with delays”, Measurement Automation Monitoring, 58(5), 413‒417 (2012).
• [25] M.A. Christidonlon and B.G. Mertzios, “Realization of singular systems via Markov parameters”, Int. J. Contr., 42(6), 1433‒1441, (1985).
• [26] K. Hryniów and K.A. Markowski, “Digraphs minimal realisations of state matrices for fractional positive systems”, in: R. Szewczyk, C. Zieliński, M. Kaliczyńska (eds), “Progress in Automation, Robotics and Measuring Techniques”, Advances in Intelligent Systems and Computing, 350, Springer, Cham (2015).

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).