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Adaptive neural control for pure-feedback nonlinear time-delay systems with unknown dead-zone: a Lyapunov-Razumikhin method
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  • 作者:Zhaoxu Yu ; Jianxu Luo ; Ji Liu
  • 关键词:Pure ; feedback nonlinear systems ; Adaptive neural control ; Razumikhin functional ; Time ; delay ; Deadzone
  • 刊名:Control Theory and Technology
  • 出版年:2013
  • 出版时间:February 2013
  • 年:2013
  • 卷:11
  • 期:1
  • 页码:18-26
  • 全文大小:276 KB
  • 参考文献:[1]M. Krstic, I. Kanellakopoulos, P. Kokotovic. Nonlinear and Adaptive Control Design. Hoboken, NJ: Wiley Interscience, 1995.
    [2]I. Kanellakopoulos, P. V. Kokotovic, A. S. Morse. Systematic design of adaptive controller for feedback linearizable system. IEEE Transactions on Automatic Control, 1991, 36(11): 1241鈥?253.MathSciNet MATH CrossRef
    [3]Z. Jiang, D. J. Hill. A robust adaptive backstepping scheme for nonlinear systems with unmodeled dynamics. IEEE Transactions on Automatic Control, 1999, 44(9): 1705鈥?711.MathSciNet MATH CrossRef
    [4]W. Lin, C. Qian. Semi-global robust stabilization of MIMO nonlinear systems by partial state and dynamic output feedback. Automatica, 2001, 37(7): 1093鈥?101.MathSciNet MATH CrossRef
    [5]M. M. Polycapou. Stable adaptive neural control scheme for nonlinear systems. IEEE Transactions on Automatic Control, 1996, 41(3): 447鈥?51.CrossRef
    [6]S. L. Niculescu. Delay Effects on Stability: A Robust Control Approach. New York: Springer-Verlag, 2001.MATH
    [7]J. P. Richard. Time-delay systems: an overview of some recent advances and open problems. Automatica, 2003, 39(10): 1667鈥?694.MathSciNet MATH CrossRef
    [8]S. S. Ge, F. Hong, T. H. Lee. Robust adaptive control of nonlinear systems with unknown time delays. Automatica, 2005, 41(7): 1181鈥?190.MathSciNet MATH CrossRef
    [9]M. Wang, B. Chen, P. Shi. Adaptive neural control for a class of perturbed strict-feedback nonlinear time-delay systems. IEEE Transactions on System, Man and Cybernetics 鈥?Part B: Cybernetics, 2008, 38(3): 721鈥?30.CrossRef
    [10]Q. Zhu, S. Fei, T. Zhang, et al. Adaptive RBF neural networks control for a class of time-delay nonlinear systems. Neurocomputing, 2008, 71(40): 3617鈥?624.CrossRef
    [11]C. Hua, Q. Wang, X. Guan. Adaptive fuzzy output-feedback controller design for nonlinear time-delay systems with unknown control direction. IEEE Transactions on System, Man and Cybernetics 鈥?Part B: Cybernetics. 2009, 39(2): 363鈥?74.CrossRef
    [12]J. Y. Sung, J. B. Park, Y. H. Choi. Adaptive neural control for a class of strict-feedback nonlinear systems with state time delays. IEEE Transactions on Neural Networks, 2009, 20(7): 1209鈥?215.CrossRef
    [13]B. Chen, X. Liu, K. Liu, et al. Novel adaptive neural control design for nonlinear MIMO time delay systems. Automatica, 2009, 45(40): 1554鈥?560.MATH CrossRef
    [14]B. Chen, X. Liu, K. Liu, et al. Direct adaptive fuzzy control for nonlinear systems with time-varying delays. Information Science, 2010, 180(40): 776鈥?92.MATH CrossRef
    [15]S. S. Ge, C. Wang. Adaptive NN control of uncertain nonlinear purefeedback systems. Automatica, 2002, 38(4): 671鈥?82.MathSciNet MATH CrossRef
    [16]H. Du, H. Shao, P. Yao. Adaptive neural network control for a class of low-triangular-structured nonlinear systems. IEEE Transactions on Neural Network, 2006, 17(2): 509鈥?14.CrossRef
    [17]C. Wang, D. J. Hill, S. S. Ge, et al. An ISS-modular approach for adaptive neural control of pure-feedback systems. Automatica, 2006, 42(5): 723鈥?31.MathSciNet MATH CrossRef
    [18]B. Ren, S. S. Ge. Adaptive neural control for a class of uncertain nonlinear systems in pure-feedback form with hysteresis input. IEEE Transactions on Systems, Man, and Cybernetics 鈥?Part B: Cybernetics, 2009, 39(2): 431鈥?43.CrossRef
    [19]B. Ren, S. S. Ge, T. H. Lee, et al. Adaptive neural control of SISO nonaffine nonlinear time-delay systems with unknown hysteresis input. American Control Conference. New York: IEEE, 2008: 4203鈥?208.
    [20]M. Wang. Approximation-based adaptive tracking control of purefeedback nonlinear systems with multiple unknown time-varying delays. IEEE Transactions on Neural Networks, 2010, 21(10): 1804鈥?816.CrossRef
    [21]T. Zhang, S. S. Ge. Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs. Automatica, 2007, 43(6): 1021鈥?033.MathSciNet MATH CrossRef
    [22]X. Jiao, T. Shen. Adaptive feedback control of nonlinear time-delay systems: the Lasalle-Razumikhin-based approach. IEEE Transactions on Automatic Control, 2005, 50(11): 1909鈥?913.MathSciNet CrossRef
    [23]G. Tao, P. V. Kokotovic. Adaptive sliding control of plants with unknown dead-zone. IEEE Transactions on Automatic Control, 1994, 39(1): 59鈥?8.MathSciNet MATH CrossRef
    [24]J. Zhou, C. Wen, Y. Zhang. Adaptive output control of nonlinear systems with uncertain dead-zone nonlinearity. IEEE Transactions on Automatic Control, 2006, 51(3): 504鈥?11.MathSciNet CrossRef
    [25]S. S. Ge, C. Huang, T. Lee, et al. Stable Adaptive Neural Network Control. Norwell: Kluwer Academic, 2002.MATH
    [26]W. Lin, C. J. Qian. Adaptive control of nonlinearly parameterized systems: the nonsmooth feedback framework. IEEE Transactions on Automatic Control, 2002, 47(5): 757鈥?74.MathSciNet CrossRef
    [27]J. K. Hale, S. M. Verduyn Lunel. Introduction to Functional Differential Equations. New York: Springer-Verlag, 1993.MATH
    [28]B. Chen, X. Liu, K. Liu, et al. Direct adaptive fuzzy control of nonlinear strict-feedback systems. Automatica, 2009, 45(6): 1530鈥?535.MathSciNet MATH CrossRef
    [29]Z. Yu, H. Du. Adaptive neural control for uncertain stochastic nonlinear strict-feedback systems with time-varying delays: a Razumikhin functional method. Neurocomputing, 2011, 74(12/13): 2072鈥?082.CrossRef
  • 作者单位:Zhaoxu Yu (1)
    Jianxu Luo (1)
    Ji Liu (1)

    1. Key Laboratory of Advanced Control and Optimization for Chemical Processes of Ministry of Education, East China University of Science and Technology, Shanghai, 200237, China
  • 刊物类别:Control; Systems Theory, Control; Optimization; Computational Intelligence; Complexity; Control, Rob
  • 刊物主题:Control; Systems Theory, Control; Optimization; Computational Intelligence; Complexity; Control, Robotics, Mechatronics;
  • 出版者:South China University of Technology and Academy of Mathematics and Systems Science, CAS
  • ISSN:2198-0942
文摘
This paper addresses the problem of adaptive neural control for a class of uncertain pure-feedback nonlinear systems with multiple unknown state time-varying delays and unknown dead-zone. Based on a novel combination of the Razumikhin functional method, the backstepping technique and the neural network parameterization, an adaptive neural control scheme is developed for such systems. All closed-loop signals are shown to be semiglobally uniformly ultimately bounded, and the tracking error remains in a small neighborhood of the origin. Finally, a simulation example is given to demonstrate the effectiveness of the proposed control schemes. Keywords Pure-feedback nonlinear systems Adaptive neural control Razumikhin functional Time-delay Deadzone

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