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Phase lead is introduced to iterative learning control systems. The best phase lead is the one that can exactly compensate the phase lag of a system. A zero phase learning control using reversed time input runs is proposed based on the analysis in frequency domain utilizing a simple phase lead generation method. The plant itself or a nominal model is used to obtain the desired phase lead to ensure the monotonic convergence of tracking errors. The learning controller is robust to large inaccuracies of system models.
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Ye et al. (2005) studied this question.
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