Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In this paper, the observer-based control for a class of uncertain linear systems is considered. Exponential stabilizability for the system is studied and reduced-order observer is discussed. Numerical examples are given to illustrate obtained results.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
565--576
Opis fizyczny
Bibliogr. 19 poz., rys., wykr., wzory
Twórcy
autor
- Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, B.P 7955 Sidi Othman Casablanca, Marocco
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, Marocco
Bibliografia
- [1] M. Aoki and J. R. Huddle: Estimation of state vector of a linear stochastic system with a constrained estimator. IEEE Trans. on Automatic control, (Short papers), 12 (1967), 432-433.
- [2] K. K. Busawon and M. Saif: A state observer for nonlinear systems. IEEE Trans. on Automatic Control, 44 (1999), 2098-2103.
- [3] M. Chen and W-H. Chen: Disturbance-observer-based robust control for time delay uncertain systems. Int. J. of Control, Automation and Systems, 8(2), (2010), 445-453.
- [4] M. De La Sen, S. Alonso-Quesada, A. Ibeas and R. Nistal: An observerbased vaccination law for a SEIR epidemic model. Int. J. of Computer Theory and Engineering, 4(3), (2012), 379-385.
- [5] M. De La Sen: On impulsive time-varying systems with unbounded time-varying point delays: Stability and compacteness of the relevant operators mapping the input space into the state and output spaces. Rocky Mountain J. of Mathematics, 37 (2007), 79-129.
- [6] M. De La Sen: The use of Gronwall’s lemma for robust compensation of timevarying linear systems. Int. J. of Systems Science, 22(5), (1991), 885-903.
- [7] D. W. Gu and F. W. Poon: A robust state observer scheme. IEEE Trans. on Automatic Control, 46 (2001), 1958-1963.
- [8] S. Hui and S. H. Zak: Observer design for systems with unknown inputs. Int. J. of Applied Mathematics and Computer Science, 15(4), (2005), 431-446.
- [9] M. Khammash: Modeling and analysis of stochastic biochemical networks. In Control Theory and Systems Biology, P.A. Iglesias and B.P. Ingalls (Eds.), MIT Press, (2010), 29-44.
- [10] H. Khaloufi, A. Zemouche, F. Bedouhene and M. Boutayeb: A new observer-based stabilization method for linear systems with uncertain parameters. European Control Conf., Zurich, Switzerland, (2013), 1120-1125.
- [11] C. H. Lien: An efficient method to design robust observer-based control of uncertain linear systems. Applied Mathematics and Computation, 158 (2004), 29-44.
- [12] C. H. Lien: Robust observer-based control of systems with state perturbations via LMI approach. IEEE Trans. on Automatic control, 4(8), (2004), 1365-1370.
- [13] D. Luenberger: Observing the state of a linear system. IEEE Trans. on Automatic Control, 8 (1964), 74-80.
- [14] D. Luenberger: An introduction to observers. IEEE Trans. on Automatic Control, 16(6), (1971), 596-602.
- [15] M. Rachik, S. Saadi, Y. Rahhou and O. El Kahlaoui: Observer design and admissible disturbances: A discrete disturbed system. Applied Mathematical Sciences, 1(33), (2007), 1631-1650.
- [16] O. El Kahlaoui, S. Saadi, Y. Rahhou, A. Bourass and M. Rachik: On the improvement of the performances of an observer: A discrete linear system. Applied Mathematical Sciences, 1(6), (2007), 241-266.
- [17] M. Rachik, H. Laarabi, O. El Kahalaoui and S. Saadi: Observer for perturbed linear continuous systems. Applied Mathematical Sciences, 4(14), (2010), 681-689.
- [18] H. Laarabi, M. Rachik, N. Yousfi, J. Bouyaghroumni and E. Labriji: Observer for perturbed linear discrete systems. Int. Mathematical Forum, 5(41), (2010), 2023-2035.
- [19] M. V. Thuan, V. N. Phat and H. Trinh: Observer-based controller design of time-delay systems with an interval time-varying delay. Int. J. of Applied Mathematics and Computer Science, 22(4), (2012), 921-927.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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