Positive realizations of hybrid linear systems described by the general model using the state variable diagram method

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

The realization problem for linear hybrid systems described by the general model is formulated and solved. Sufficient conditions for the existence of positive realizations are established. A procedure based on the state variable diagram method for computation of a positive realization of a given transfer matrix is proposed. Effectiveness of the procedure is demonstrated on two examples.

Słowa kluczowe

EN

positive realization; hybrid; general model; state variable diagram

• Wydawca: Łukasiewicz Industrial Research Institute for Automation and Measurements PIAP
• Czasopismo: Journal of Automation Mobile Robotics and Intelligent Systems
• Rocznik: 2010
• Tom: Vol. 4, No. 4
• Strony: 3--10
• Opis fizyczny: Bibliogr. 17 poz., rys.

Twórcy

autor

Kaczorek T.

• Professor at the Faculty of Electrical Engineering, Bialystok University of Technology, Bialystok, Poland,

Bibliografia

• [1] Benvenuti L., Farina L., “A tutorial on the positive realization problem”, , IEEE Trans. Autom. Control , vol. 49, no. 5, 2004, pp. 651-664.
• [2] Busłowicz M., Kaczorek T., “Reachability and minimum energy control of positive linear discrete-time systems with one delay “. In: 12th Mediterranean Conference on Control and Automation , 6 th-9 th June, 2004, Kusadasi, Izmir, Turkey.
• [3] Farina L., Rinaldi S., Positive Linear Systems; Theory and Applications, J. Wiley, New York, 2000.
• [4] Kaczorek T., Positive 1D and 2D systems, Springer Verlag, London 2001.
• [5] Kaczorek T., “Realization problem for positive discrete time systems with delay”, System Science , vol. 30, no. 4, 2004, pp. 117-130.
• [6] Kaczorek T., “Positive minimal realizations for singular discrete-time systems with delays in state and control”, Bull. Pol. Acad. Sci. Techn. , vol. 53, no. 3, 2005, pp. 293-298.
• [7] Kaczorek T., “A realization problem for positive continuous-time linear systems with reduced numbers of delays”, Int. J. Appl. Math. Comp. Sci. , vol. 16, no. 3, 2006, pp. 325-331.
• [8] Kaczorek T., “Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs”, Int. J. Appl. Math. Comp. Sci., vol. 16, no. 2, 2006, pp. 101-106.
• [9] Kaczorek T., “Positive minimal realizations for singular discrete-time systems with one delay in state and one delay in control”, Bull. Pol. Acad. Sci. Techn., vol. 52, no. 3, 2005, pp. 293-298.
• [10] Kaczorek T., “Positive 2D hybrid linear systems”, Bull. Pol. Acad. Sci. Techn. , vol. 55, no. 4, 2007, pp. 351-355.
• [11] Kaczorek T., “Positive fractional 2D hybrid linear systems”, Bull. Pol. Acad. Sci. Techn. , vol. 56, no. 3, 2008, pp. 273-277.
• [12] Kaczorek T., “Realization problem for positive 2D hybrid systems”, COMPEL, vol. 27, no. 3, 2008, pp. 613-623.
• [13] Kaczorek T., “Realization problem for positive fractional discrete-time linear systems”, Int. J. Factory Autom. Robotics and Soft Comput. , vol. 3, 2008, pp. 76-86.
• [14] Kaczorek T., “Structural decomposition of transfer matrix of positive normal hybrid systems”, Archive of Control Sciences , vol. 18, no. 4, 2008, pp. 399-413.
• [15] Kaczorek T., Busłowicz M., “Minimal realization problem for positive multivariable linear systems with delays” , Int. J. Appl. Compt. Sci. , vol. 14, no. 2, pp. 181-187.
• [16] Kaczorek T., Sajewski Ł., “Computation of positive realizations of MIMO hybrid linear systems with delays using the state variable diagram method”, System Science, vol. 34, no. 1, 2008, pp. 5-13.
• [17] Sajewski Ł., “Positive linear hybrid systems Realization in the form of two-dimensional general model”, Automation 2010, Pomiary Automatyka Robotyka 2/2010. (CD-ROM)