Iterative learning control with pulse compensation for fractional differential systems-Reference-Cited by-同舟云学术

Iterative learning control with pulse compensation for fractional differential systems

Published:2018-05-18 Issue:3 Volume:68 Page:563-574
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Liu Shengda¹,Wang JinRong¹²,Zhou Yong³⁴,Fečkan Michal⁵⁶

Affiliation:

1. Department of Mathematics Guizhou University Guiyang , Guizhou 550025 P. R. China

2. School of Mathematical Sciences Qufu Normal University Qufu Shandong 273165 P. R. China

3. Department of Mathematics Xiangtan University Xiangtan , Hunan 411105 P. R. China

4. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Faculty of Science King Abdulaziz University Jeddah 21589 Saudi arabia

5. Department of Mathematical Analysis and Numerical Mathematics Faculty of Mathematics , Physics and Informatics Comenius University in Bratislava Mlynská dolina 842 48 Bratislava Slovakia

6. Mathematical Institute of Slovak Academy of Sciences Štefánikova 49 814 73 Bratislava Slovakia

Abstract

Abstract In this paper, we explore PD-type ILC schemes of fractional version with pulse compensation for single-input-single-output fractional differential systems. More precisely, we design a new type of pulse-based ILC schemes involving fractional derivative and sign function for a class of fractional order linear systems with initial state shift. In order to tracking discrepancy incurred by the initial state shift effectively, a new function of pulse compensation is introduced. The effectiveness of the result is illustrated by numerical simulations.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0125/pdf

Reference37 articles.

1. Ahn, H. S.—Chen, Y. Q.—Moore, K. L.: Iterative Learning Control, Springer, London, 2007.

2. Arimoto, S.—Kawamura, S.—Miyazaki, F.: Bettering operation of robots by learning, J. Robotic Systems 1 (1984), 123–140.10.1002/rob.4620010203

3. Arimoto, S.: Mathematical theory of learning with applications to robot control. In: Adaptive and Learning Systems: Theory and Applications, (K. S. Narendra, ed.), Yale University, New Haven, Connecticut, USA, 1985, pp. 379–388.

4. Bien, Z.—Xu, J. X.: Iterative Learning Control Analysis: Design, Integration and Applications, Springer, New York, 1998.

5. Chen, Y. Q.,—Wen, C.: Iterative Learning Control: Convergence, Robustness and Applications, Springer-Verlag, London, 1999.

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