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Wavelet Sliding Mode Control of Uncertain Nonaffine Nonlinear Discrete Time Systems

Journal Name:

  • Journal of Control Engineering and Technology

Publication Year:

  • 2012

Key Words:

Author Name
Abstract (2. Language): 
In this paper, a wavelet based adaptive sliding mode control is designed for a class of discrete time uncertain nonlinear nonaffine systems. An equivalent affine like structure is first developed form the original nonaffine system and subsequently a wavelet based adaptive sliding mode tracking control scheme is developed for the affine like system. Wavelet neural network (WNN) is used to mimic the uncertainties present in the system. Proposed scheme is derived to guaranty the necessary and sufficient reaching condition for sliding mode control in presence of modeling uncertainties and mathematical inaccuracies. A numerical example is provided to verify the effectiveness of theoretical development.
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  • 1
30-35
  • English

REFERENCES

References: 

[1] J.Si and Y.T.Wang, “Online learning control by association and reinforcement”, IEEE Transaction on Neural Networks, Vol. 12,no.2 pp. 264-276,March 2001.
[2] P.He and S.Jagannatha, “Reforcement learning neural networks based controller for nonlinear discrete time systems with input constraints”, IEEE Transactions on Systems, Man and Cybernetics Part-B, Vol. 37,no. 2 , pp.425-436, April 2007.
[3] O.Adetona ,E.Garcia and L.H.Keel, “ A new method for the control of discrete nonlinear dynamic systems using neural networks ” IEEE Transaction on Neural Networks ,Vol. 11 , pp.102-112,Jan 2000.
[4] O.Adetona ,S..Sathananthan and L.H.Keel, “Robust adaptive control of nonaffine nonlinear plants with small input signal changes” IEEE Transaction on Neural Networks, Vol. 15, pp.408-416, March 2004.
[5] S.V. Draunov and V.I. Utkin, “On discrete time sliding modes”, IFAC Nonlinear Control Systems Design, pp. 273-278, 1989.
[6] K. Furuta, “Sliding mode control of discrete system”, Systems and Control Letters, pp. 145–152, 1990.
[7] W. B. Gao and J.C. Hung, “Variable structure control of nonlinear systems: A new approach”, IEEE Transaction on Industrial Electronics, vol. 40, pp. 45-55, 1993.
[8] W. B. Gao, Y.Wang and A. Homaifa, “Discrete time variable structure control systems”, IEEE Transaction on Industrial Electronics, vol. 42, pp.117-122, 1995.
[9] F.Qiao, Q.M. Zhu, A,Winfield and Melhuish, “Fuzzy sliding mode control for discrete nonlinear systems”, Transactions of China Automation Society,Vol. 22,pp.311-315,2003.
[10] C.Vivekanandan, R. Prabhakar and D.Prema, “Stability analysis of a class of nonlinear systems using discrete variable structures and sliding mode control”, International Journal of Electrical and Electronics Engineering, pp.137-143, 2008.
[11] S. Beyhan and M. Alsr, “A new rbk network based sliding mode control of nonlinear systems”, Proceedings of The IMCSIT, Vol. 4, pp.11-16, 2009.
[12] K.S. Narendra and A.M. Annaswamy, “Stable adaptive systems”, Engle Wood Cliffs, Prentice-Hall, 1989.
[13] K.S. Narendra and K.S. Parthasarathy, “ Identification and control of dynamical systems using neural networks”, IEEE Transactions on Neural Networks, Vol. 1, no. 6, pp.4-27, Mar. 1990
[14] Q. Zhang and A. Benveniste, “Wavelet networks,” IEEE Transactions on Neural Networks, Vol. 3, no. 6, pp.889-898, November 1992.
[15] J. Zhang, G. G. Walter, Y. Miao, and. W. Lee, “Wavelet neural networks for function learning,” IEEE Transactions on Signal Processing, Vol. 43, no. 6, pp.1485-1497, June 1995.
[16] S. Malat, “A theory for multiresolution signal decomposition: The wavelet representation”, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 11, 1989.
[17] C.S. Chen and W.S. Lin, “Adaptive wavelet sliding mode control of uncertain multivariable nonlinear systems,” Proceedings of the American Control Conference, Colorado, pp180—185, 2003.
[18] R. J. Wai, and H. H. Chang, “Backstepping wavelet neural network control for indirect field-oriented induction motor drive,” IEEE Transactions on Neural Networks, Vol. 15, no. 2,pp.367—382, November 2004.
[19] C. F. Hsu, C. M. Lin, T. T. Lee, “Wavelet adaptive backstepping control for a class of nonlinear systems” IEEE Transactions on Neural Networks, Vol. 17, no. 5,pp.1175-1183,September 2006.
[20] V.I. Utkin, “Sliding modes and their applications in variable structure systems”, Mascow, Nauka, 1978.

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