计算机工程与应用2017，Vol.53Issue(24)：59-63,5.DOI:10.3778/j.issn.1002-8331.1703-0555
线性广义系统P型迭代学习控制离散频域收敛性
Convergence characteristics of P-type iterative learning control for linear singular systems in discrete frequency domain
摘要
Abstract
For a class of linear singular systems, this paper studies on the convergence characteristics of P-type iterative learning control in discrete frequency domain. Firstly, in the discrete frequency domain, the singular value decomposi-tion of the singular systems is carried out. Using the properties of Fourier series and the discrete frequency Parseval's en-ergy equality, the discrete energy spectrum recursive relation and character of the tracking errors are deduced. And the suf-ficient condition for monotone convergence of the first-order P-type iterative learning control law is obtained. Then, the convergence of the second-order learning law is discussed. The simulation experiment validates the correctness of the the-ory and the validity of this algorithm.关键词
迭代学习控制/线性广义系统/离散频域/Parseval能量等式Key words
iterative learning control/linear singular systems/discrete frequency domain/Parseval's energy equality分类
信息技术与安全科学引用本文复制引用
张克军,彭国华,孙天凯..线性广义系统P型迭代学习控制离散频域收敛性[J].计算机工程与应用,2017,53(24):59-63,5.基金项目
国家自然科学基金青年项目(No.61201323) （No.61201323）
江苏省大型工程装备检测与控制重点建设实验室开放课题(No.JSKLEDC201511). （No.JSKLEDC201511）
