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An exponential observer and a controller for a class of nonlinear systems

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Języki publikacji
EN
Abstrakty
EN
In this paper, we study the observer design problem for a class of nonlinear systems. Specifically, we design an exponential observer for a separately excited DC motor. Moreover, a stabilizing controller is designed for the system to ensure the exponential stability of the solutions toward their desired values. Simulations results show that proposed observer is able to reconstruct the states of the system. In addition, the simulation results indicate that the designed controller works well.
Słowa kluczowe
Rocznik
Strony
79--92
Opis fizyczny
Bibliogr. 12 poz., rys., tab., wzory
Twórcy
  • Faculty of Sciences of Sfax, Department of Mathematics, Rte Soukra, B.P. 1171 Sfax 3000, Tunisia and University of Kuwait Electrical Engineering Department, Box 5969 Safat 13060, Kuwait
autor
  • Faculty of Sciences of Sfax, Department of Mathematics, Rte Soukra, B.P. 1171 Sfax 3000, Tunisia and University of Kuwait Electrical Engineering Department, Box 5969 Safat 13060, Kuwait
autor
  • Faculty of Sciences of Sfax, Department of Mathematics, Rte Soukra, B.P. 1171 Sfax 3000, Tunisia and University of Kuwait Electrical Engineering Department, Box 5969 Safat 13060, Kuwait
Bibliografia
  • [1] F. E. Thau: Observing the state of non-linear dynamic systems. Int. Journal ofControl, 18 (1973), 471-479.
  • [2] S. R. Kou, D. L. Elliot and T. J. Tarn: Exponential observer for nonlinear dynamic systems. Inform. Control, 29 (1975), 204-216.
  • [3] R. Rajamani: Observers for Lipschitz nonlinear systems. IEEE Trans. on AutomaticControl, 43(3), (1998), 397-401.
  • [4] M. A. Hammami: Global convergence of a control system by means of an observer. J. of Optimization Theory and Applications, 108(2), (2001), 377-388.
  • [5] M. A. Hammami: Global stabilization of a certain class of dynamical systems using state detection. Applied Mathematics Letters, 14 (2001), 913-919.
  • [6] J. P. Gauthier, H. Hammouri and S. Othman: A simple observer for nonlinear system applications to bioreactors. IEEE Trans. on Automatic Control, 37(6), (1992), 875-880.
  • [7] W. Mitkowski and J. Baranowski: Observer design for series DC motor multi output approach. Int. Conf. Fund. Elect. Circuit Theory, IC-SPETO, (2007).
  • [8] M. Zribi and A. Al-Zamel: Field-Weakening control of a separately excited DC motor. Mathematical Problems in Engineering, ID 58410 (2007).
  • [9] M. Zribi and M. Alrifai: Robust controllers for variable reluctance motors. Math. Probl. Eng, 2 (2005), 195-214.
  • [10] M. Corless and G. Leitmann: Bounded controllers for robust exponential convergence. J. Optim. Theory Appl, 76(1), (1993), 1-12.
  • [11] M. Corless, F. Garofalo and G. Leitmann: Guaranteeing ultimate boundedness and exponential rate of convergence for a class of uncertain systems. Robustnessin Identification and Control, Appl. Inform. Tech., Plenum, New York, (1989), 293-301.
  • [12] H. Khalil. Nonlinear Systems. Prentice Hall, New Jersy, 3rd edition, 2002.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7db7ea70-d6df-42f4-af8e-2d8dcffcc606
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