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

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.

Article

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.

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

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