Output tracking for nonlinear stochastic systems by iterative learning control

doi:10.1109/TAC.2004.825613

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	Output tracking for nonlinear stochastic systems by iterative learning control
	Chen, HF; Fang, HT
	2004-04-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	49 期号:4 页码:583-588
摘要	An iterative learning control (ILC) algorithm, which in essence is a stochastic approximation algorithm, is proposed for output tracking for nonlinear stochastic systems with unknown dynamics and unknown noise statistics. The nonlinear function of the system dynamics is allowed to grow up as fast as a polynomial of any degree, but the system is linear with respect to control. It is proved that the ILC generated by the algorithm a.s. converges to the optimal one at each time t is an element of [0, 1, ..., N] and the output tracking error is asymptotically minimized in the mean square sense as the number of iterates tends to infinity, although the convergence rate is rather slow. The only information used in the algorithm is the noisy observation of the system output and the reference signal y(d)(t). When the system state equation is free of noise and the system output is realizable, then the exact state tracking is asymptotically achieved and the tracking error is purely due to the observation noise.
关键词	almost sure (a.s.) convergence iterative learning control nonlinear stochastic system output tracking stochastic approximation
DOI	10.1109/TAC.2004.825613
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000220884800012
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19479
专题	系统科学研究所
通讯作者	Chen, HF
作者单位	Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, HF,Fang, HT. Output tracking for nonlinear stochastic systems by iterative learning control[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2004,49(4):583-588.
APA	Chen, HF,&Fang, HT.(2004).Output tracking for nonlinear stochastic systems by iterative learning control.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,49(4),583-588.
MLA	Chen, HF,et al."Output tracking for nonlinear stochastic systems by iterative learning control".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 49.4(2004):583-588.