Regular Paper
International Journal of Control, Automation and Systems 2019; 17(9): 2203-2210
Published online July 26, 2019
https://doi.org/10.1007/s12555-018-0891-2
© The International Journal of Control, Automation, and Systems
P-type Iterative Learning Control with Initial State Learning for Onesided Lipschitz Nonlinear Systems
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.
Keywords Iterative learning control, nonlinear systems, one-sided Lipschitz, P-type learning algorithms.
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Regular Paper
International Journal of Control, Automation and Systems 2019; 17(9): 2203-2210
Published online September 1, 2019 https://doi.org/10.1007/s12555-018-0891-2
Copyright © The International Journal of Control, Automation, and Systems.
P-type Iterative Learning Control with Initial State Learning for Onesided Lipschitz Nonlinear Systems
Panpan Gu and Senping Tian
South China University of Technology
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.
Keywords: Iterative learning control, nonlinear systems, one-sided Lipschitz, P-type learning algorithms.
Vol. 23, No. 3, pp. 683~972
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