含多重时滞非线性系统的分数阶迭代学习控制的收敛性分析(英文)  

Convergence analysis of fractional iterative learning controlnonlinear systems with multiple state delays

作　　者：李娜娜[1] 蒋威[1] Li Nana Jiang Wei(School of Mathematical Science, Anhui University, Hefei 230601, China)

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《纯粹数学与应用数学》2017年第1期69-81,共13页Pure and Applied Mathematics

基　　金：国家自然科学基金(11371027,11471015)

摘　　要：本文研究了含多重时滞非线性系统的分数阶迭代学习控制(FOILC).它包含了外部干扰和输出控制噪音,通过引入λ-范数,获得在开环和闭环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.最后,通过数值仿真验证所提方法的有效性.This paper presents fractional-order iterative learning control （FOILC） nonlinear system with multiple state delays. It involves external disturbances and output measurement noises which obtain some new and interesting criteria to guarantee the convergence of the tracking error in the sense of the λ-norm. The convergence of the system outputs to the desired trajectory is ensured in the absence of disturbances and output measurement noises. We estimate the upper bound of the tracking error. Finally, the validity of the proposed method are verified by an example.

关 键 词：分数阶迭代学习控制 收敛 多重时滞 

分 类 号：O231.2[理学—运筹学与控制论]