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Robustness Analysis of a Type of Iterative Algorithm for R-L Fractional Nonlinear Control Systems in the Sense of Norm

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  • Yanfang Li
  • Xianghu Liu
  • Guangjun Xu

Abstract

The paper is concerned with the robustness analysis of a type of iterative algorithm for R-L fractional nonlinear control systems in the sense of norm. Firstly, according to the Laplace transform and M-L function, the concept of mild solutions of the system is derived. Secondly, we give the sufficient conditions of robustness analysis of the - type ILC algorithm with uncertain disturbances and then study the robust analysis of the second-order - type ILC algorithm. At last, two fractional examples are given to demonstrate the results.

Suggested Citation

  • Yanfang Li & Xianghu Liu & Guangjun Xu, 2021. "Robustness Analysis of a Type of Iterative Algorithm for R-L Fractional Nonlinear Control Systems in the Sense of Norm," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-9, January.
    • Handle: RePEc:hin:jnlmpe:6661543
    DOI: 10.1155/2021/6661543
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