Minimum energy control of positive discrete-time linear systems with bounded inputs

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

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

EN

positive; discrete-time; minimum energy control; bounded inputs; procedure

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2013
• Tom: Vol. 23, no. 2
• Strony: 205--211
• Opis fizyczny: Bibliogr. 14 poz., wzory

Twórcy

autor

Kaczorek T.

• 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.