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Neural network-based MRAC control of dynamic nonlinear systems

Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper presents direct model reference adaptive control for a class of nonlinear systems with unknown nonlinearities. The model following conditions are assured by using adaptive neural networks as the nonlinear state feedback controller. Both full state information and observer-based schemes are investigated. All the signals in the closed loop are guaranteed to be bounded and the system state is proven to converge to a small neighborhood of the reference model state. It is also shown that stability conditions can be formulated as linear matrix inequalities (LMI) that can be solved using efficient software algorithms. The control performance of the closed-loop system is guaranteed by suitably choosing the design parameters. Simulation results are presented to show the effectiveness of the approach.
Rocznik
Strony
219--232
Opis fizyczny
Bibliogr. 23 poz., rys.
Twórcy
autor
  • Electrical Engineering Institute, Oum El-Bouaghi University, 04000 Oum El-Bouaghi, Algeria
autor
  • Electronic Department, Constantine University, 25000 Constantine, Algeria
autor
  • Electrical Engineering Institute, Oum El-Bouaghi University, 04000 Oum El-Bouaghi, Algeria
Bibliografia
  • [1] Billings S.A., Jamaluddin H.B. and Chen S. (1992): Properties of neural networks with applications to modeling nonlinear dynamical systems. - Int. J. Contr., Vol. 55, No. 1, pp. 193-224.
  • [2] Cybenko G. (1989): Approximations by superpositions of a sigmoida function. - Math. Signals Syst., Vol. 2, pp. 303-314.
  • [3] Cotter M.E. (1990): The Stone-Weierstrass theorem and its applications to neural nets. - IEEE Trans. Neural Netw., Vol. 1, No. 4, pp. 290-295.
  • [4] Chang Y-C. and Yen H-M. (2005): Adaptive output feedback tracking control for a class of uncertain nonlinear systems using neural networks.-IEEE Trans. Syst. Man Cybern., Part B, Vol. 35, No. 6, pp. 1311-1316.
  • [5] Ferrari S. and Stengel R.F. (2005): Smooth function approximation using neural networks. - IEEE Trans. Neural Netw., Vol. 16, No. 1, pp. 24-38.
  • [6] Ge S.S., Hang C.C. and Zhang T. (1999): A direct method for robust adaptive nonlinear control with guaranteed transient performance. - Syst. Contr. Lett., Vol. 37, pp. 275-284.
  • [7] Huang S.N., Tan K.K. and Lee T.H. (2006): Nonlinear adaptive control of interconnected systems using neural networks. -IEEE Trans. Neural Netw., Vol. 17, No. 1, pp. 243-246.
  • [8] Landau Y.D. (1979): Adaptive Control: The Model Reference Approach. -New York: Marcel Dekker.
  • [9] Narendra K.S. and Parthasarathy K. (1990): Identification and control of dynamical systems using neural networks. - IEEE Trans. Neural Netw., Vol. 1, No. 1, pp. 4-27.
  • [10] Neidhoefer J.C., Cox C.J. and Saeks R.E. (2003): Development and application of a Lyapunov synthesis based neural adaptive controller. - IEEE Trans. Syst. Man Cybern., Vol. 33, No. 1, pp. 125-137.
  • [11] Park J. and Sandberg I.W. (1991): Universal approximation using radial basis function networks. - Neural Comput., Vol. 3, No. 2, pp. 246-257.
  • [12] Poznyak A.S., YouW., Sanchez E.E. and Perez J.P. (1999): Nonlinear adaptive trajectory tracking using dynamic neural networks. - IEEE Trans. Neural Netw., Vol. 10, No. 6, pp. 1402-1411.
  • [13] Patino H.D. and Liu D. (2000): Neural network-based model reference adaptive control system. - IEEE Trans. Syst. Man. Cybern., Vol. 30, No. 1, pp. 198-204.
  • [14] Plett G.L. (2003): Adaptive inverse control of linear and nonlinear systems using dynamic neural networks. - IEEE Trans. Neural Netw., Vol. 14, No. 2, pp. 360-376.
  • [15] Rivals I. and Personnaz L. (2000): Nonlinear internal model control using neural networks: Application to processes with delay and design issues.-IEEE Trans. Neural Netw., Vol. 11, No. 1, pp. 80-90.
  • [16] Sastry S. and Bodson M. (1989): Adaptive Control: Stability, Convergence, and Robustness. -Upper Saddle River, NJ: Prentice-Hall.
  • [17] Sanner R.M. and Slotine J.E. (1992): Gaussian networks for direct adaptive control.-IEEE Trans. Neural Netw., Vol. 3, No. 6, pp. 837-863.
  • [18] Spooner J.T. and Passino K.M. (1996): Stable adaptive control using fuzzy systems and neural networks. - IEEE Trans. Neural Netw., Vol. 4, No. 3, pp. 339-359.
  • [19] Seshagiri S. and Khalil H. (2000): Output feedback control of nonlinear systems using RBF neural networks. - IEEE Trans. Neural Netw., Vol. 11, No. 1, pp. 69-79.
  • [20] Yesildirek A. and Lewis F.L. (1995): Feedback linearization using neural networks. - Automatica, Vol. 31, No. 11, pp. 1659-1664.
  • [21] Yu S.-H. and Annaswamy A.M. (1997): Adaptive control of nonlinear dynamic systems using adaptive neural networks. - Automatica, Vol. 33, No. 11, pp. 1975-1995.
  • [22] Zhihong M., Wu H.R. and Palaniswami M. (1998): An adaptive tracking controller using neural networks for a class of nonlinear systems.-IEEE Trans. Neural Netw., Vol. 9, No. 5, pp. 947-955.
  • [23] Zhang Y., Peng P.Y. and Jiang Z.P. (2000): Stable neural controller design for unknown nonlinear systems using backstepping. - IEEE Trans. Neural Netw., Vol. 11, No. 6, pp. 1347-1359.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ1-0028-0019
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