A new method for computation of positive realizations of linear discrete-time systems

• Autorzy: Kaczorek Tadeusz

Identyfikatory

DOI

10.14313/JAMRIS/1-2021/1

• Języki publikacji: EN

Abstrakty

EN

A new method for computation of positive realizations of given transfer matrices of linear discretetime linear systems is proposed. Sufficient conditions for the existence of positive realizations of transfer matrices are given. A procedure for computation of the positive realizations is proposed and illustrated by an example.

Słowa kluczowe

EN

computation; positive; realization; transfer matrix; linear; discrete-time; system

• Wydawca: Łukasiewicz Industrial Research Institute for Automation and Measurements PIAP
• Czasopismo: Journal of Automation Mobile Robotics and Intelligent Systems
• Rocznik: 2021
• Tom: Vol. 15, No. 1
• Strony: 3--8
• Opis fizyczny: Bibliogr. 22 poz., rys.

Twórcy

autor

Kaczorek Tadeusz

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

Bibliografia

• [1] L. Benvenuti and L. Farina, “A tutorial on the positive realization problem”, IEEE Transactions on Automatic Control, vol. 49, no. 5, 2004, 651-664, 10.1109/TAC.2004.826715.
• [2] L. Farina and S. Rinaldi, Positive Linear Systems: Theory and Applications, Wiley-Interscience, 2000.
• [3] T. Kaczorek, “A modified state variable diagram method for determination of positive realizations of linear continuous-time systems with delays”, International Journal of Applied Mathematics and Computer Science, vol. 22, no. 4, 2012, 897-905, 10.2478/v10006-012-0066-x.
• [4] T. Kaczorek, “A new method for determination of positive realizations of linear continuous-time systems”, Bulletin of the Polish Academy of Sciences: Technical Sciences, vol. 66, no. 5, 2018, 605-611, 10.24425/BPAS.2018.124276.
• [5] T. Kaczorek, “A realization problem for positive continuous-time systems with reduced numbers of delays”, International Journal of Applied Mathematics and Computer Science, vol. 16, no. 3, 2006, 325-331.
• [6] T. Kaczorek, “Computation of positive stable realizations for linear continuous-time systems”, Bulletin of the Polish Academy of Sciences: Technical Sciences, vol. 59, no. 3, 2011, 273-281, 10.2478/v10175-011-0033-y.
• [7] T. Kaczorek, “Computation of realizations of discrete-time cone-systems”, Bulletin of the Polish Academy of Sciences: Technical Sciences, vol. 54, no. 3, 2006, 347-350.
• [8] T. Kaczorek, “Existence and determination of the set of Metzler matrices for given stable polynomials”, International Journal of Applied Mathematics and Computer Science, vol. 22, no. 2, 2012, 389-399, 10.2478/v10006-012-0029-2.
• [9] T. Kaczorek, Linear Control Systems: Analysis of Multivariable Systems, Wiley, 1992.
• [10] T. Kaczorek, Polynomial and Rational Matrices, Springer London, 2007, 10.1007/978-1-84628-605-6.
• [11] T. Kaczorek, Positive 1D and 2D Systems, Springer-Verlag, 2002, 10.1007/978-1-4471-0221-2.
• [12] T. Kaczorek, “Positive minimal realizations for singular discrete-time systems with delays in tate and delays in control”, Bulletin of the Polish Academy of Sciences: Technical Sciences, vol. 53, no. 3, 2005, 293-298.
• [13] T. Kaczorek, “Positive stable realizations of fractional continuous-time linear systems”. In: Proc.Conf. Int. Inf. and Eng. Syst., 2012.
• [14] T. Kaczorek, “Positive stable realizations for fractional descriptor continuous-time linear systems”, Archives of Control Sciences, vol. 22, no. 3, 2012, 303–313, 10.2478/v10170-011-0026-y.
• [15] T. Kaczorek, “Positive stable realizations with system Metzler matrices”, Archives of Control Sciences, vol. 21, no. 2, 2011, 167-188, 10.2478/v10170-010-0038-z.
• [16] T. Kaczorek, “Realization problem for positive fractional continuous-time systems”. In: 2008 16th Mediterranean Conference on Control and Automation, 2008, 1008-1015, 10.1109/MED.2008.4602000.
• [17] T. Kaczorek, “Realization problem for positive 2D ybrid systems”, COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, vol. 27, no. 3, 2008, 613-623, 10.1108/03321640810861061.
• [18] T. Kaczorek, “Realization problem for positive discrete-time systems with delays”, Systems Science, vol. 30, no. 4, 2004, 17-30.
• [19] T. Kaczorek, “Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs”, International Journal of Applied Mathematics and Computer Science, vol. 16, no. 2, 2006, 169-174.
• [20] T. Kaczorek, Selected Problems of Fractional Systems Theory, Springer Berlin Heidelberg, 2011, 10.1007/978-3-642-20502-6.
• [21] T. Kaczorek and M. Busłowicz, “Minimal realization for positive multivariable linear systems with delay”, International Journal of Applied Mathematics and Computer Science, vol. 14, no. 2, 2004, 181-187.
• [22] T. Kaczorek and L. Sajewski, The Realization Problem for Positive and Fractional Systems, Springer International Publishing, 2014, 10.1007/978-3-319-04834-5.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).