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Adaptive Backstepping Neural Network Control for Unknown Nonlinear Time-Delay Systems

  • Weisheng Chen
  • Junmin Li
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3498)

Abstract

For a class of unknown nonlinear time-delay systems, an adaptive neural network (NN) control design is proposed in this paper. Bacsteppping, domination and adaptive bounding design technique are combined to construct an adaptive NN controller. Unknown time-delay functions are approximated by NNs. Based on the Lyapnov-Krasovikii functional, the sem-globally uniformly ultimately boundedness (SGUUB) of all the signals in the closed-loop systems is proved. The arbitrary output tracking accuracy is achieved by tuning the design parameters. The feasibility is investigated by an illustrative simulation example.

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References

  1. 1.
    Policarpou, M.M., Mears, M.J.: Stable Adaptive Tracking of Uncertain Systems Using Nonlinearly Parameterized On-line Approximators. Int. J. Control. 70, 363–384 (1998)CrossRefGoogle Scholar
  2. 2.
    Zhang, S.S., Ge, S.S., Hang, C.C.: Stable Adaptive Control for A Class of Nonlinear Systems Using A Modified Lyapunov Function. IEEE Trans. Automatic Control. 45, 125–132 (2000)CrossRefGoogle Scholar
  3. 3.
    Ge, S.S., Li, G.Y., Lee, T.H.: Adaptive NN Control for A Class of Strict Feedback Discrete Time Nonlinear Systems. Automatic 39, 807–819 (2003)zbMATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    Jin, Y.C., Farrell, J.: Adaptive Observer Backstepping Control Using Neural Network. IEEE Trans. Neural Networks 12, 1103–1112 (2001)CrossRefGoogle Scholar
  5. 5.
    Fu, Y.S., Tian, Z.H.: Output Feedback Stabilizaion for Time-Delay System. Acta Automatic Sinia 28, 802–805 (2002)MathSciNetGoogle Scholar
  6. 6.
    Ge, S.S., Li, G.Y., Lee, T.H.: Adaptive Neural Network Control of Nonlinear Systems with Unknown Time Delays. IEEE Trans. Automatic Control 48, 2004–2010 (2003)CrossRefGoogle Scholar
  7. 7.
    Krstic, M., KanellaKopuos, I., Kokotovic, P.V.: Nonlinear and Adaptive Control Design. Springer, Heidelberg (1995)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Weisheng Chen
    • 1
  • Junmin Li
    • 1
  1. 1.Department of Applied MathematicsXidian UniversityXi’anChina

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