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Warianty tytułu
Języki publikacji
Abstrakty
The minimum energy control problem for the positive discrete-time linear systems with bounded inputs is formulated and solved. 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
Czasopismo
Rocznik
Tom
Strony
205--211
Opis fizyczny
Bibliogr. 14 poz., wzory
Twórcy
autor
- Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 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), (2011), 1203-1210.
- [4] T. Kaczorek: Minimum energy control of descriptor positive discrete-time linear systems. Submitted to Compel, 2013.
- [5] T. Kaczorek: Minimum energy control of fractional positive continuous-time linear systems. Proc. of Conf. MMAR, Miedzyzdroje, Poland, (2013).
- [6] T. Kaczorek: Minimum energy control of positive continuous-time linear systems. Submitted to Int. J. Appl. Math. Comput. Sci., 2013.
- [7] T. Kaczorek: Minimum energy control of positive continuous-time linear systems with bounded inputs. Submitted to Int. J. Appl. Math. Comput. Sci., 2013.
- [8] T. Kaczorek: Minimum energy control of positive fractional descriptor continuous-time linear systems. Submitted to IET, 2013.
- [9] T. Kaczorek: Selected Problems of Fractional Systems Theory. Springer-Verlag, Berlin 2012.
- [10] T. Kaczorek and J. Klamka: Minimum energy control of 2D linear systems with variable coefficients. Int. J. of Control, 44(3), (1986), 645-650.
- [11] J. Klamka: Controllability of Dynamical Systems, Kluwer Academic Press. Dordrecht 1991.
- [12] J. Klamka: Minimum energy control of 2D systems in Hilbert spaces. SystemSciences, 9(1-2), (1983), 33-42.
- [13] J. Klamka: Relative controllability and minimum energy control of linear systems with distributed delays in control. IEEE Trans. Automatic Control, 21(4), (1976), 594-595.
- [14] J. Klamka: Controllability and minimum energy control problem of fractional discrete-time systems. Chapter in "New Trends in Nanotechnology and Fractional Calculus", Eds. Baleanu D., Guvenc Z.B., Tenreiro Machado J.A., Springer-Verlag, New York, 2010, 503-509.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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