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The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning Control

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  • Zhang Qunli

Abstract

An iterative learning control problem for nonlinear systems with delays is studied in detail in this paper. By introducing the λ‐norm and being inspired by retarded Gronwall‐like inequality, the novel sufficient conditions for robust convergence of the tracking error, whose initial states are not zero, with time delays are obtained. Finally, simulation example is given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:4619450
    DOI: 10.1155/2016/4619450
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    References listed on IDEAS

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    1. 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, Hindawi, vol. 2014, pages 1-14, June.
    2. Yan, Li & Wei, Jiang, 2015. "Fractional order nonlinear systems with delay in iterative learning control," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 546-552.
    3. 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).
    4. Li, Jinsha & Li, Junmin, 2015. "Iterative learning control approach for a kind of heterogeneous multi-agent systems with distributed initial state learning," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 1044-1057.
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