Precise tracking control via iterative learning for one-sided Lipschitz Caputo fractional-order systems-Reference-Cited by-同舟云学术

Precise tracking control via iterative learning for one-sided Lipschitz Caputo fractional-order systems

Published:2024 Issue:2 Volume:21 Page:3095-3109
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Wu Hanjiang¹,Huang Jie¹,Wu Kehan¹,Lopes António M.²,Chen Liping³

Affiliation:

1. Anhui Electrical Engineering Professional Technique College, Hefei 230051, China

2. LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal

3. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China

Abstract

<abstract><p>This paper investigates iterative learning control for Caputo fractional-order systems with one-sided Lipschitz nonlinearity. Both open- and closed-loop P-type learning algorithms are proposed to achieve perfect tracking for the desired trajectory, and their convergence conditions are established. It is shown that the algorithms can make the output tracking error converge to zero along the iteration axis. A simulation example illustrates the application of the theoretical findings, and shows the effectiveness of the proposed approach.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference39 articles.

1. A. Maachou, R. Malti, P. Melchior, J. L. Battagliaand, A. Oustaloup, Nonlinear thermal system identification using fractional Volterra series, Control Eng. Pract., 29 (2014), 50–60. https://doi.org/10.1016/j.conengprac.2014.02.023

2. P. E. Jacob, S. M. M. Alavi, A. Mahdi, S. J. Payne, D. A. Howey, Bayesian inference in non-Markovian state-space models with applications to battery fractional-order systems, IEEE Trans. Control Syst. Technol., 26 (2018), 497–506. https://doi.org/10.1109/TCST.2017.2672402

3. G. Tsirimokou, C. Psychalinos, A. S. Elwakil, K. N. Salama, Electronically tunable fully integrated fractional-order resonator, IEEE Trans. Circuits Syst. II Express Briefs, 65 (2018), 166–170. https://doi.org/10.1109/TCSII.2017.2684710

4. E. S. A. Shahri, A. Alfi, J. A. T. Machado, Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation, Appl. Math. Modell., 81 (2020), 663–672. https://doi.org/10.1016/j.apm.2020.01.013

5. C. Hou, X. Liu, H. Wang, Adaptive fault tolerant control for a class of uncertain fractional-order systems based on disturbance observer, Int. J. Robust Nonlinear Control, 30 (2020), 3436–3450. https://doi.org/10.1002/rnc.4950