| 分数阶非线性时滞系统的P型迭代学习控制 |
| |
| 引用本文： | 兰永红,何吕君,黄辉先,罗毅平.分数阶非线性时滞系统的P型迭代学习控制[J].系统工程与电子技术,2013,35(5):1070-1074. |
| |
| 作者姓名： | 兰永红 何吕君 黄辉先 罗毅平 |
| |
| 作者单位： | 1. 湘潭大学智能计算与信息处理教育部重点实验室， 湖南 湘潭 411105；2．湖南工程学院智能控制研究所, 湖南 湘潭 411101 |
| |
| 摘 要： | 针对一类分数阶非线性时滞系统，研究其P型迭代学习控制问题。首先，根据分数微积分的基本性质并借助推广的Gronwall不等式，获得系统状态变量的范数不等式估计；然后，通过引入λ-范数，获得在开环和闭环P型迭代学习控制作用下，系统控制输入以及跟踪误差收敛的充分条件。所得结果与已有结果相比，具有更小的保守性。最后，通过数值仿真验证所提方法的有效性。
|
P-type iterative learning control of fractional order nonlinear time-delay system |
| |
| LAN Yong-hong,HE Lü-jun,HUANG Hui-xian,LUO Yi-ping.P-type iterative learning control of fractional order nonlinear time-delay system[J].System Engineering and Electronics,2013,35(5):1070-1074. |
| |
| Authors: | LAN Yong-hong HE Lü-jun HUANG Hui-xian LUO Yi-ping |
| |
| Institution: | 1. Key Laboratory of Intelligent Computing & Information Processing of Ministry of Education, Xiangtan University, Xiangtan 411105, China；;
2. Institute of Intelligent Control, Hunan Institute of Engineering, Xiangtan 411101，China |
| |
| Abstract: | A P-type iterative learning control (ILC）scheme for a class of fractional order nonlinear time-delay systems is presented. First, using properties of the fractional differential calculus and the generalized Gronwall inequality, a norms based inequality for systems state is derived. Second, by introducing the λ-norm, the sufficient conditions for the convergence of the control input and the tracking errors under open loop and closed loop P-type ILC are obtained, which have less conservative compared with the existing results. Finally, the validity of the proposed method are verified by a numerical example. |
| |
| Keywords: | |
|
| 点击此处可从《系统工程与电子技术》浏览原始摘要信息 |
| 点击此处可从《系统工程与电子技术》下载免费的PDF全文 |
