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Fractional order nonlinear systems with delay in iterative learning control

Author

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  • Yan, Li
  • Wei, Jiang

Abstract

In this paper, we discuss a P-type iterative learning control (ILC) scheme for a class of fractional-order nonlinear systems with delay. By introducing the λ-norm and using Gronwall inequality, the sufficient condition for the robust convergence of the tracking errors is obtained. Based on this convergence, the P-type ILC updating laws can be determined.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:257:y:2015:i:c:p:546-552
    DOI: 10.1016/j.amc.2015.01.014
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    Cited by:

    1. Zhang, Xiulan & Lin, Ming & Chen, Fangqi, 2023. "Composite iterative learning adaptive fuzzy control of fractional-order chaotic systems using robust differentiators," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Mathiyalagan, Kalidass & Sangeetha, G., 2020. "Second-order sliding mode control for nonlinear fractional-order systems," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    3. Nyamoradi, Nemat & Rodríguez-López, Rosana, 2015. "On boundary value problems for impulsive fractional differential equations," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 874-892.

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