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Event-triggered Iterative Learning Control for Perfect Consensus Tracking of Non-identical Fractional Order Multi-agent Systems

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  • Intelligent Control and Applications
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Abstract

This paper is devoted to the perfect tracking problem of output consensus for a class of non-identical fractional order multi-agent systems (NIFOMASs), in which different agents have different and unknown factional orders and dynamic functions. For the NIFOMASs including one leader agent and multiple follower agents, by designing the event-triggered mechanism along an iteration axis and introducing it into the iterative learning controller, an event-triggered iterative learning consensus protocol is proposed to reduce the number of controller update and to save the communication resource. By analyzing the convergence of learning process, the sufficient conditions are derived to guarantee that the output consensus tracking can be perfectly achieved over the finite time interval as the iteration step goes to infinity. Finally, three numerical examples are presented to demonstrate the effectiveness and wide application scope of the proposed control strategy.

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Author information

Authors and Affiliations

  1. School of Electrical and Information Engineering, Tianjin University, Tianjin, 300072, P. R. China

    Liming Wang & Guoshan Zhang

  2. Faculty of physics and electronic information, Langfang Normal University, Langfang, 065000, P. R. China

    Liming Wang

Authors
  1. Liming Wang
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  2. Guoshan Zhang
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Correspondence to Guoshan Zhang.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Dan Zhang under the direction of Editor Hamid Reza Karimi. This work was supported by National Natural Science Foundation of China under Grant No.61473202 and Natural Science Foundation of Hebei Province of China under Grant No. F2019408063.

Liming Wang received his M.S. degree in theoretical physics from Hebei University, Baoding, China, in 2003. He is an Associate Professor of the Faculty of Physics and Electronic Information, Langfang Normal University, Langfang, China. He is currently pursuing his Ph.D. degree in control science and engineering from Tianjin University, Tianjin, China. His research interests include synchronization, fractional-order multiagent systems, and iterative learning control.

Guoshan Zhang received his B.S. degree in mathematics from Northeast Normal University, China, in 1983, an M.S. degree in applied mathematics, and a Ph.D. degree in industrial automation from Northeastern University, China, in 1989 and 1996, respectively. Now he is a professor in the School of Electrical and Information Engineering, Tianjin University, China. His research interests include nonlinear system control and intelligent control.

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Wang, L., Zhang, G. Event-triggered Iterative Learning Control for Perfect Consensus Tracking of Non-identical Fractional Order Multi-agent Systems. Int. J. Control Autom. Syst. 19, 1426–1442 (2021). https://doi.org/10.1007/s12555-019-0882-y

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  • DOI: https://doi.org/10.1007/s12555-019-0882-y

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