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A New AILC for a Class of Nonlinearly Parameterized Systems with Unknown Delays and Input Dead‐Zone

Author

Listed:
  • Jian-ming Wei
  • Yun-an Hu
  • Mei-mei Sun

Abstract

This paper presents an adaptive iterative learning control (AILC) scheme for a class of nonlinear systems with unknown time‐varying delays and unknown input dead‐zone. A novel nonlinear form of deadzone nonlinearity is presented. The assumption of identical initial condition for ILC is removed by introducing boundary layer functions. The uncertainties with time‐varying delays are compensated for with assistance of appropriate Lyapunov‐Krasovskii functional and Young’s inequality. The hyperbolic tangent function is employed to avoid the possible singularity problem. According to a property of hyperbolic tangent function, the system output is proved to converge to a small neighborhood of the desired trajectory by constructing Lyapunov‐like composite energy function (CEF) in two cases, while maintaining all the closed‐loop signals bounded. Finally, a simulation example is presented to verify the effectiveness of the proposed approach.

Suggested Citation

  • Jian-ming Wei & Yun-an Hu & Mei-mei Sun, 2014. "A New AILC for a Class of Nonlinearly Parameterized Systems with Unknown Delays and Input Dead‐Zone," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:238018
    DOI: 10.1155/2014/238018
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    References listed on IDEAS

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    1. Zheng-Fan Liu & Chen-Xiao Cai & Yun Zou, 2013. "Switching Signal Design for Exponential Stability of Uncertain Discrete-Time Switched Time-Delay Systems," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-11, September.
    2. Zheng-Fan Liu & Chen-Xiao Cai & Yun Zou, 2013. "Switching Signal Design for Exponential Stability of Uncertain Discrete‐Time Switched Time‐Delay Systems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Zhang Qunli, 2016. "The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning Control," Advances in Mathematical Physics, John Wiley & Sons, vol. 2016(1).

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