PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Positive output controllability of linear discrete–time invariant systems

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper studies the output controllability of discrete linear time invariant systems (LTI) with non-negative input constraints. Some geometrical arguments and positive invariance concepts are used to derive the necessary and/or sufficient conditions for the positive output controllability of discrete LTI systems. The paper also provides several academic examples, which support the theoretical results.
Rocznik
Strony
521--539
Opis fizyczny
Bibliogr. 23 poz.
Twórcy
  • Université Chouaib Doukkali, Département de Mathématiques, Faculté des Sciences, BP. 20, 24000 El Jadida, Morocco
  • Université Chouaib Doukkali, Département de Mathématiques, Faculté des Sciences, BP. 20, 24000 El Jadida, Morocco
  • Université Chouaib Doukkali, Département de Mathématiques, Faculté des Sciences, BP. 20, 24000 El Jadida, Morocco
Bibliografia
  • Bacciotti, A. and Mazzi, L. (2011) Asymptotic controllability by means of eventually periodic switching rules. SIAM Journal on Control and Optimization, 49, 2, 476–497.
  • Brammer, R. F. (1972) Controllability in linear autonomous systems with positive controllers. SIAM Journal on Control, 10, 2, 339–353.
  • Callier, F. M. and Desoer, C. A. (1991) Linear System Theory. Springer Science+Business, Media New York.
  • Castelan, E. B. and Hennet, J. C. (1993) On invariant polyhedra of continuous-time linear systems.IEEE Transactions On Automatic Control, 38, 11, 1680-1685.
  • Chen, C. T. (1970) Introduction to Linear System Theory. Holt, Rinehart and Winston, NY, USA.
  • Eden, J., Tan, Y., Lau, D. and Oetomo, D. (2016) On the positive output controllability of linear time invariant systems. Automatica 71, 202–209.
  • Evans, M. and Murthy, D. (1977) Controllability of discrete-time systems with positive controls. IEEE Transactions on Automatic Control, AC, 22, 6, 942–945.
  • Garcia-Planas, M. I. and Dominguez-Garcia, J. L. (2013) Alternative tests for functional and pointwise output-controllability of linear time-invariant systems. Systems and Control Letters, 62, 5, 382–387.
  • Kaczorek, T. (2002) Positive 1D and 2D Systems. Springer-Verlag, London.
  • Kaczorek, T. (2006) Output-reachability of positive linear discrete time systems. In: Proceedings of 7th International Workshop, Computational Problems of Electrical Engineering, CPEE ’06, Odessa, Ukraine, 64–68.
  • Kaczorek, T. (2011) Selected Problems of Fractional Systems Theory. Springer-Verlag, Berlin Heidelberg.
  • Kalman, R. E., Ho, Y. C. and Narendra, K. S. (1962) Controllability of linear dynamical systems. In: Contributions to Differential Equations, 1, 189–213.
  • Klamka, J. (1991) Controllability of Dynamical Systems. Kluwer Academic Publishers, Dordrecht.
  • Klamka, J. (2019) Controllability and Minimum Energy Control, Studies in Systems, Decision and Control. Springer International Publishing AG, part of Springer Nature.
  • Lau, D., Oetomo, D. and Halgamuge, S. K. (2013) Generalized modeling of multilink cable-driven manipulators with arbitrary routing using the cable-routing matrix. IEEE Transactions on Robotics, 29, 5, 1102–1113.
  • Luenberger, D. G. (1968) Optimization by Vector Space Methods. John Wiley and Sons, Inc.New York.
  • Lynch, K. M. and Mason, M. T. (1999) Dynamic nonprehensile manipulation: Controllability, planning, and experiments. International Journal of Robotics Research, 18, 1, 64–92.
  • Ogata, K. (2010) Modern Control Engineering, 5th edition. Pearson, Prentice Hall, Upper Saddle River, NJ, USA.
  • Saperstone, S. H. and Yorke, J. A. (1971) Controllability of linear oscillatory systems using positive controls. SIAM Journal on Control, 9, 2, 253–262.
  • Shen, L., Shi, J. and Sun, J. (2010) Complete controllability of impulsive stochastic integro-differential systems. Automatica, 46, 6, 1068–1073.
  • Tarbouriech, S. and Castelan, E. B. (1993) Positively invariant sets for singular discrete-time systems. International Journal of Systems Science, 24, 9, 1687-1705.
  • Wonham, W. M. (1985) Linear Multivariable Control: A Geometric Approach, 3rd edition. Springer-Verlag New York Inc.
  • Yoshida, H. and Tanaka, T. (2007) Positive controllability test for continuous-time linear systems. IEEE Transactions on Automatic Control, 52, 9, 1685–1689.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-88be66ed-132a-4992-8319-94fb073037c3
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.