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P-type Iterative Learning Control with Initial State Learning for Onesided Lipschitz Nonlinear Systems

Panpan Gu and Senping Tian
International Journal of Control, Automation, and Systems, vol. 17, no. 9, pp.2203-2210, 2019

Abstract : In this paper, the problem of iterative learning control is considered for a class of one-sided Lipschitz nonlinear systems. For such nonlinear systems, open-loop and closed-loop P-type learning algorithms with initial state learning are adopted, respectively. Furthermore, the convergence conditions of the P-type learning algorithms are established. It is shown that both algorithms can guarantee the system output converges to the desired one on the whole time interval. A numerical example is constructed to illustrate the effectiveness of the proposed learning algorithms.

Keyword : Iterative learning control, nonlinear systems, one-sided Lipschitz, P-type learning algorithms.

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