High-Order -Type Iterative Learning Control for Fractional-Order Nonlinear Time-Delay Systems

被引：0

作者：

Lan, Yong-Hong ^{[1
]}

Zhou, Yong ^{[2
]}

机构：

[1] Xiangtan Univ, Key Lab Intelligent Comp & Informat Proc, Minist Educ, Xiangtan 411105, Hunan, Peoples R China

[2] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2013年 / 156卷 / 01期

关键词：

Fractional-order; Nonlinear time-delay system; Iterative learning control; Generalized Gronwall-Bellman lemma;

D O I：

10.1007/s10957-012-0231-2

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper presents a high-order -type iterative learning control (ILC) scheme for a class of fractional-order nonlinear time-delay systems. First, a discrete system for -type ILC is established by analyzing the control and learning processes, and the ILC design problem is then converted to a stabilization problem for this discrete system. Next, by introducing a suitable norm and using a generalized Gronwall-Bellman Lemma, the sufficiency condition for the robust convergence with respect to the bounded external disturbance of the control input and the tracking errors is obtained. Finally, the validity of the method is verified by a numerical example.

引用

页码：153 / 166

页数：14

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