Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The minimum energy control problem for the positive discrete-time linear systems with bounded inputs is formulated and solved. Necessary and sufficient conditions for the existence of solution to the problem are established. A procedure for solving of the problem is proposed and illustrated by a numerical example.
Słowa kluczowe
Rocznik
Tom
Strony
85--89
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
- Faculty of Electrical Engineering, Bialystok University of Technology, 45D Wiejska St., 15-351 Bialystok, Poland
Bibliografia
- [1] L. Farina and S. Rinaldi, Positive Linear Systems; Theory and Applications, J. Wiley, New York, 2000.
- [2] T. Kaczorek, Positive 1D and 2D systems, Springer Verlag, London, 2001.
- [3] T. Kaczorek, “Positive linear systems consisting of n subsystems with different fractional orders”, IEEE Trans. Circuits and Systems 58 (6), 1203-1210 (2011).
- [4] J. Klamka, Controllability of Dynamical Systems, Kluwer Academic Press, Dordrecht, 1991.
- [5] J. Klamka, “Minimum energy control of 2D systems in Hilbert spaces”, System Sciences 9 (1-2), 33-42 (1983).
- [6] J. Klamka, “Relative controllability and minimum energy control of linear systems with distributed delays in control”, IEEE Trans. Autom. Contr. 21 (4), 594-595 (1976).
- [7] J. Klamka, “Controllability and minimum energy control problem of fractional discrete-time systems”, in New Trends in Nanotechology and Fractional Calculus Applications, eds. D. Baleanu, Z.B. Guvenc, Tenreiro, and J.A. Machado, pp. 503-509, Springer-Verlag, New York, 2010.
- [8] T. Kaczorek and J. Klamka, “Minimum energy control of 2D linear systems with variable coefficients”, Int. J. Control 44 (3), 645-650 (1986).
- [9] T. Kaczorek, Selected Problems of Fractional Systems Theory, Springer-Verlag, Berlin, 2012.
- [10] T. Kaczorek, “Minimum energy control of fractional positive continuous-time linear systems”, Bull. Pol. Ac.: Tech. 61 (4), 803-807 (2013).
- [11] T. Kaczorek, Minimum energy control of descriptor positive discrete-time linear systems, Compel, (2014), (to be published).
- [12] T. Kaczorek, “Minimum energy control of positive fractional descriptor continuous-time linear systems”, IET Control Theory and Appl. doi: 10.1049/iet-cta.2013.0362 (2013).
- [13] T. Kaczorek, “Minimum energy control of positive continuoustime linear systems with bounded inputs”, Int. J. Appl. Math. and Comp. Sci. 23 (4), 725-730 (2013).
- [14] T. Kaczorek, “Minimum energy control of positive discretetime linear systems with bounded inputs”, Archive of Control Sciences 23 (2), 131-137 (2013).
- [15] T. Kaczorek, “An extension of Klamka’s method of minimum energy control to fractional positive discrete-time linear systems with bounded inputs”, Bull. Pol. Ac.: Tech. 62 (2), (2014) (to be published).
Typ dokumentu
Bibliografia
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