Iterative Learning Control for a Class of Fractional Order Distributed Parameter Systems

被引:6
|
作者
Lan, Yong-Hong [1 ]
Liu, Li [1 ]
Luo, Yi-Ping [2 ]
机构
[1] Xiangtan Univ, Sch Informat Engn, Xiangtan 411105, Hunan, Peoples R China
[2] Hunan Inst Engn, Inst Intelligent Control, Xiangtan 411104, Peoples R China
关键词
Iterative learning control; fractional order; distributed parameter system; generalized gronwall inequality; DIFFUSION-WAVE EQUATION; NONLINEAR-SYSTEMS;
D O I
10.1002/asjc.1908
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper concerns a second-order P-type iterative learning control (ILC) scheme for a class of fractional order linear distributed parameter systems. First, by analyzing of the control and learning processes, a discrete system for P-type ILC is established and the ILC design problem is then converted to a stability problem for such a discrete system. Next, a sufficient condition for the convergence of the control input and the tracking errors is obtained by using generalized Gronwall inequality, which is less conservative than the existing one. By incorporating the convergent condition obtained into the original system, the ILC scheme is derived. Finally, the validity of the proposed method is verified by a numerical example.
引用
收藏
页码:449 / 459
页数:11
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