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Ideal observability for bilinear discrete-time systems with and without delays in observation

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An ideal observability subspace expression is stated for bilinear abstract system with bounded operator in Hilbert spaces. The case of finite dimentional space is also treated. However, it’s noticed that the state ideal observability can never be fulfilled within an infinite dimensional phase space in the case of scalar output. The case of bilinear discrete-time system with delays in observation is also described. To illustrate this work some examples are presented.
Rocznik
Strony
601--616
Opis fizyczny
Bibliogr. 19 poz., wzory
Twórcy
autor
  • Laboratory of Modeling, Analysis, Control and Statistics, Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, B. P 5366 Maarif Casablanca, Morocco
autor
  • Laboratory of Analysis Modelling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, B. P 7955Sidi Othman Casablanca, Morocco
autor
  • Laboratory of Modeling,Analysis, Control and Statistics, Department of Mathematics and Computer Science, Faculty of SciencesAin Chock, Hassan II University of Casablanca, B. P 5366 Maarif Casablanca, Morocco
Bibliografia
  • [1] A. Barigou and B. Messirdi: On the Lack of Ideal Observability in Hilbert Space, Applied Mathematical Sciences, 4(59) (2010), 2931-2941.
  • [2] A. Barigou and R. Rabah: Observabilité idéale dans les espaces de Hilbert, Analyse des systèmes, AFCET Gauthier-Villars, 20(2) (1986), 119-128.
  • [3] A. Barigou and R. Rabah: Directional-Ideal Observability in Banach spaces, Cahiers Mathématiques, Univ-Oran, 2 (1986), 96-101.
  • [4] G. Basile and G. Marro: Controlled and conditioned invarint subspaces in linear system theory, J. Optim. Theory and Applic., 3(5) (1969).
  • [5] G. Basile and F. G. Marro: On the observability of linear time invariant systems with unknown inputs, Journal of Optimization Theory and Applic., 3(6) (1969), 410-415.
  • [6] T. Boukhobza and F. Hamelin: Observability analysis for structured bilinear systems: Agraph-theoretic approach, Automatica, 43 (2007), 1968-1974.
  • [7] H. D’Angelo: Linear time varying systems: Analysis and synthesis, Boston, USA: Allyn & Bacon, 1970.
  • [8] O. M. Grasselli and A. Isidori: Deterministic state reconstruction and reachability of bilinear processes, In: Proceedings of IEEE joint automatic control conference, San Francisco, USA, 1423-1427, 1977.
  • [9] A. P. Ivanov: A problem concerning the observation of perturbed systems, Differentsial’nye Uravnenia, 14(11) (1978).
  • [10] R. E. Kalman: On the General Theory of Control Systems, Proc 1 st Int. Cong. Of IFAC, Moscow 1960 1481, Butterworth, London 1961.
  • [11] R. E. Kalman: Mathematical Description of Linear Dynamical Systems, SIAM J. Contr., 1 (1963), 152.
  • [12] A. P. Marinich: Relatively ideally observable systems, Diff. Uravneniya, 12(7) (1976).
  • [13] A. V. Metel’skii, S. A. Minyuk, and O. A. Panasik: Observability problems for regular stationary differential-algebraic systems, Journal of Computer and Systems Sciences International, 49(4) (2010), 537-547.
  • [14] A. V. Metel’skii and O. A. Panasik: Ideal and conditional ideal observability of differential-algebraic systems, Proceeding of the national academy of sciences of Belarus, Physics and Mathematics Series, 4 (2009), 54-61.
  • [15] M. S. Nikol’skii: Ideally observable systems, Dokl. Akad. Nauk SSSR, 191(6) (1970).
  • [16] M. S. Nikolski: Some Linear Problems of Observability: Sampling, Ideal Observability, In: Modeling Techniques for Uncertain Systems, A. B. Kurzhanski and V. M. Veliov, Eds., Birkhauser, Boston, 131-146, 1994.
  • [17] F. Svaricek: A graph theoretic approach for the investigation of the observability of bilinear systems, In: Proceedings of the 12th IFAC world congress, Sydney, Australia, 351-354, 1993.
  • [18] R. Triggiani: Controllability and observability in Banach space with bounded operators, SIAM J. Control, 13(2) (1975).
  • [19] D. Williamson: Observation of bilinear systems with application to biological control, Automatica, 13(3) (1977), 243-254.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ca8670ea-aefa-43d3-9918-3a4b82c2ab4f
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