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Robustness Analysis of a Type of Iterative Algorithm for R-L Fractional Nonlinear Control Systems in the Sense of Norm
Mathematical Problems in Engineering ( IF 1.430 ) Pub Date : 2021-01-16 , DOI: 10.1155/2021/6661543
Yanfang Li 1 , Xianghu Liu 1 , Guangjun Xu 1
Affiliation  

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.

中文翻译:

范数意义上的RL分数阶非线性控制系统的一种迭代算法的鲁棒性分析

本文针对范数意义上的RL分数阶非线性控制系统的一种迭代算法的鲁棒性分析。首先,根据拉普拉斯变换和ML函数,推导了系统的温和解的概念。其次,我们给出的鲁棒性分析的充分条件-具有不确定性扰动型ILC算法,然后研究了二阶的强大的分析-型ILC算法。最后,给出了两个小例子来说明结果。
更新日期:2021-01-18
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