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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  L p 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  P D α -type ILC algorithm with uncertain disturbances and then study the robust analysis of the second-order  P D α -type ILC algorithm. At last, two fractional examples are given to demonstrate the results.

mathematical problems in engineering

Robustness Analysis of a Type of Iterative Algorithm for R-L Fractional Nonlinear Control Systems in the Sense of <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msub> <mrow> <mi>L</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> </math> Norm

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

Robustness Analysis of a Type of Iterative Algorithm for R-L Fractional Nonlinear Control Systems in the Sense of $L_{p}$ Norm