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首页> 外文会议>IEEE Interantional Conference on Systems, Man, and Cybernetics >Sufficient Conditions for the Convergence of Open-closed-PID-type Iterative Learning Control for Nonlinear Time-varying Systems
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Sufficient Conditions for the Convergence of Open-closed-PID-type Iterative Learning Control for Nonlinear Time-varying Systems

机译：用于非线性时变系统开放式PID型迭代学习控制的充分条件

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摘要

Since it was first introduced by Arimoto, iterative learning control (ILC) methods have received lots of attention because of its effectiveness and briefness. In this paper, open-closed-loop PID-type ILC scheme with bounded learning matrixes for the control of nonlinear time-varying systems are studied. Under a few reasonable restrictions that are very common as in other ILC research papers on convergence problem, sufficient condition for guaranteeing the convergence of ILC systems are given and then proved with linear operator theory. Both the system and the ILC scheme described have very general forms. It is shown that the convergence condition is weaker than some known results for similar ILC scheme.
机译：由于它是Arimoto首次引入的，因此迭代学习控制（ILC）方法由于其有效性和简单性而受到了很多关注。本文研究了具有用于控制非线性时变系统的有界学习矩阵的开闭环PID型ILC方案。根据在其他ILC研究论文中非常常见的一些合理的限制，给出了保证ILC系统收敛的充分条件，然后用线性操作员理论证明。所描述的系统和ILC方案都具有非常一般的形式。结果表明，收敛条件比类似ILC方案的一些已知结果较弱。

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