AN ILC SCHEME FOR A CLASS OF NONLINEAR CONTINUOUS-TIME SYSTEMS WITH TIME-ITERATION-VARYING PARAMETERS SUBJECT TO SECOND-ORDER INTERNAL MODEL

Chenkun Yin; Jian-Xin Xu; Zhongsheng Hou

首页> 外文期刊>Asian Journal of Control: Affiliated with ACPA, the Asian Control Professors' Association >AN ILC SCHEME FOR A CLASS OF NONLINEAR CONTINUOUS-TIME SYSTEMS WITH TIME-ITERATION-VARYING PARAMETERS SUBJECT TO SECOND-ORDER INTERNAL MODEL

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AN ILC SCHEME FOR A CLASS OF NONLINEAR CONTINUOUS-TIME SYSTEMS WITH TIME-ITERATION-VARYING PARAMETERS SUBJECT TO SECOND-ORDER INTERNAL MODEL

机译：AN ILC SCHEME FOR A CLASS OF NONLINEAR CONTINUOUS-TIME SYSTEMS WITH TIME-ITERATION-VARYING PARAMETERS SUBJECT TO SECOND-ORDER INTERNAL MODEL

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摘要

In this paper, a new iterative learning control (ILC) scheme is proposed to deal with unknown time-iteration-varying parameters for a class of nonlinear continuous-time systems. The parametric non-repetitiveness in the iteration domain is described by a second-order internal model, which includes systems with iteration-invariant parameters as a subset. By incorporating the internal model into the parametric learning law, the proposed ILC scheme can handle more generic systems with parametric uncertainties, and includes existing ILC schemes as a special case with the first-order internal model. The conditions under which the new ILC scheme can guarantee learning convergence are delicately explored. Utilizing the information of the previous two iterations and the method of composite energy function (CEF), it is able to derive point-wise convergence along the time axis and asymptotic convergence along the iteration axis. The controller design is further extended to the case for systems with mixed parameters and unknown time-varying input gain.

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来源
《Asian Journal of Control: Affiliated with ACPA, the Asian Control Professors' Association》 |2011年第1期|126-135|共10页
作者
Chenkun Yin; Jian-Xin Xu; Zhongsheng Hou;
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作者单位

Advanced Control Systems Lab, School of Electronics and Information Engineering, Beijing Jiaotong University;

Department of Electrical and Computer Engineering, National University of Singapore;

State Key Laboratory of Rail Traffic Control and Safety with Grant RCS2009ZT011, Beijing Jiaotong University;

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正文语种英语
中图分类自动控制理论;
关键词
Iterative learning control; Internal model; Non-repetitiveness; Composite energy function;

AN ILC SCHEME FOR A CLASS OF NONLINEAR CONTINUOUS-TIME SYSTEMS WITH TIME-ITERATION-VARYING PARAMETERS SUBJECT TO SECOND-ORDER INTERNAL MODEL

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