Iterative learning control for fractional order nonlinear system with initial shift

被引：9

作者：

Fengyu, Zhou ^{[1
,2
]}

Yugang, Wang ^{[1
,2
]}

机构：

[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China

[2] Shandong Jiaotong Univ, Coll Naval Architecture & Marine Engn, 1508 Hexing Rd, Shandong 264310, Peoples R China

来源：

NONLINEAR DYNAMICS | 2021年 / 106卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Nonlinear conformable fractional differential equations; Iterative learning control; Initial shift; Holder's inequality; DIFFERENTIAL-EQUATIONS;

D O I：

10.1007/s11071-021-06932-z

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this study, a closed-loop D-alpha-type iterative learning control (ILC) with a proportional D-type iterative learning updating law for the initial shift is applied to nonlinear conformable fractional order system. First, the systemwith the initial shift is introduced. Then, fractional order ILC (FOILC) frameworks that experience the initial shift problem for the path tracking of nonlinear conformable fractional order systems are addressed. Moreover, the sufficient condition for the convergence of tracking errors is obtained in the time domain by introducing.-norm and Holder's inequality. Lastly, numerical examples are provided to illustrate the effectiveness of the proposed methods.

引用

页码：3305 / 3314

页数：10

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