Czasopismo
2009
|
Vol. 19, no. 2
|
165-177
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
LMI approach is applied to compute a gain matrix of state-feedbacks such that the closed-loop system is positive and asymptotically stable. Necessary and suffiecient conditions for the solvability of the problem are established. The proposed method is illustrated by two numerical examples.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
165-177
Opis fizyczny
Bibliogr. 30 poz., rys.
Twórcy
autor
- Białystok Technical University, Faculty of Electrical Engineering, Poland, kaczorek@isep.pw.edu.pl
Bibliografia
- [1] N. K. BOSE: Applied multidimensional systems theory. Van Nonstrand Reinhold Co, New York, 1982.
- [2] N. K. BOSE: Multidimensional systems theory progress, directions and open prob-lems. D. Reidel Publishing Co., 1985.
- [3] M. BUSŁOWICZ: Robust stability of positive discrete-time linear systems with multiple delays with linear unity rank uncertainty structure on non-negative pertur-bation matrices. Buli. Acad. Pol. Sci. Techn., 55(1), (2007), 1-5.
- [4] M. BUSŁOWICZ: Robust stability of convex combination of two fractional degree characteristic polynomials. Acta Mechanica et Automatica, 2(2), (2008), 5-10.
- [5] E. FARINA and S. RINALDI: Positive linear systems; Theory and applications. J. Wiley, New York, 2000.
- [6] E. FORNASINI and G. MARCHESINI: State-space realization theory of two-dimensional filters. IEEE Trans, on Automatic Controł, AC-21 (1976), 484-491.
- [7] E. FORNASINI and G. MARCHESINI: Double indexed dynamical systems. Math-ematical Systems Theory, 12 (1978), 59-72.
- [8] K. GAŁKOWSKI: State space realizations of linear 2D systems with extensions to the generał nD (n > 2) case. Springer Verlag, London, 2001.
- [9] T. KACZOREK: Two-dimensional linear systems. Springer Verlag, London, 1985.
- [10] T. KACZOREK: Reachability and controllability of non-negative 2D Roesser type models. Buli Acad. Pol. Sci. Techn., 44(4), (1996), 405-410.
- [11] T. KACZOREK: Positive ID and 2D systems. Springer-Yerlag, London, 2001.
- [12] T. KACZOREK: Reachability and minimum energy control of positive 2D systems with delays. Control and Cybernetics, 34(2), (2005), 411-423.
- [13] T. KACZOREK: Reachability and controllability to zero of positive fractional discrete-time systems. Machinę Intelligence and Robotic Control, 6(4), (2007).
- [14] T. KACZOREK: Asymptotic stability of positive ID and 2D linear systems, Recent advances in control and automation. Acad. Publ. House EXIT, 2008, 41-52.
- [15] T. KACZOREK: Fractional 2D linear systems. Journal of Automation, Mobile Robotics & Intelligent Systems, 2(2), (2008), 5-9.
- [16] T. KACZOREK: Positive different orders fractional 2D linear systems. Acta Me-chanica et Automatica, 2(2), (2008), 51-58.
- [17] T. KACZOREK: LMI approach to stability of 2D positive systems. Multidimen-sional Systems and Signal Processing, 20( 1), (2009), 39-54.
- [18] T. KACZOREK: Positive 2D fractional linear systems. COMPEL, 28(2), (2009), 341-352.
- [19] T. KACZOREK: Positivity and stabilization of 2D linear systems. Control and Optimizaton, (2009).
- [20] T. KACZOREK: Asymptotic stability of positive 2D linear systems. Proc. XIII Scientific Conference Computer Applications in Electrical Engineering, Poznań, Poland, (2008), 1-5.
- [21] T. KACZOREK: Stabilization of fractional discrete-time linear systems using state feedbacks. Proc. Conf. LogiTrans, Szczyrk, Poland, (2009).
- [22] T. KACZOREK and K. ROGOWSKI: Positivity and stabilizaton of fractional 2D linear systems described by Roesser model. Methods and Models in Automation and Robotics, (2009), (sumbitted).
- [23] J. KUREK: The generał state-space model for a two-dimensional linear digital systems. IEEE Trans, on Automatic Control, AC-30 (1985), 600-602.
- [24] K. S. MILLER and B. Ross: An Introduction to the fractional calculus and fractional differential equations. Willey, New York, 1993.
- [25] K. NASHIMOTO: Fractional calculus. Descartes Press, Koriyama, 1984.
- [26] K. B. OLDHAM and J. SPANIER: The fractional calculus. Academic Press, New York, 1974.
- [27] I. PODLUBNY: Fractional differential eąuations. Academic Press, San Diego, 1999.
- [28] R. P. ROESSER: A discrete state-space model for linear image processing. IEEE Trans, on Automatic Control, AC-20(1), (1975), 1-10.
- [29] M. TWARDY: An LMI approach to checking stability of 2D positive systems. Buli. Acad. Pol. Sci. Techn., 55(4), (2007), 385-395.
- [30] M. E. VALCHER: On the internal stability and asymptotic behavior of 2D positive systems. IEEE Trans, on Circuits and Systems -1, 44(7), (1997), 602-613.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0061-0009