Abstract
In this paper, an adaptive decentralized event-triggered global performance control of a class of large-scale strongly interconnected nonlinear systems with external disturbances is investigated. Firstly, the original performance constrained large-scale nonlinear system is transformed into an equivalent unconstrained nonlinear large-scale system by barrier function transformation. Secondly, the additional assumptions of interconnect terms such as upper bound function and matching conditions are eliminated by using the inherent properties of Gaussian function. In addition, an event-triggered mechanism is designed to reduce unnecessary transfers between the controller and the actuator for better resource efficiency. It is shown that the proposed control schemes guarantee that all signals of the closed-loop system are bounded, and the output tracking error is always kept within the given boundary. Finally, a numerical system and a mass-spring damping system are taken as examples to verify the effectiveness of the proposed control method.
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Wenjing Yang received her B.Sc. degree in mathematics and applied mathematics from Liaocheng University, Liaocheng, China, in 2020. She is currently a graduate student of the School of Mathematical Sciences, Liaocheng University. Her current research interests include nonlinear systems, large-scale systems, and adaptive control and their applications.
Jianwei Xia received his B.S. degree in mathematics and applied mathematics from Liaocheng University, Liaocheng, China, in 2020, an M.S. degree in automatic engineering from Qufu Normal University, Qufu, China, in 2004, and a Ph.D. degree in automatic control from the Nanjing University of Science and Technology, Nanjing, China, in 2007. From 2010 to 2012, he was a Postdoctoral Research Associate with the School of Automation, Southeast University, Nanjing. From 2013 to 2014, he was a Postdoctoral Research Associate with the Department of Electrical Engineering, Yeungnam University, Gyeongsan, Korea. He is currently a Professor in the School of Mathematics Science, Liaocheng University, Liaocheng, China. His current research interests include nonlinear system control, robust control, stochastic systems, and neural networks. Prof. Xia was a recipient of the Highly Cited Researcher Award by Clarivate Analytics (formerly, Thomson Reuters) in 2021. He is a member of IEEE.
Xiaoxiao Guo received her B.S. degree in mathematics and applied mathematics from Linyi University, Linyi, China, in 2021. She is currently a graduate student of the School of Mathematical Sciences, Liaocheng University. Her current research interests include complex networks and impulsive systems and their applications.
Miao Yu received his B.S. degree in mathematics and applied mathematics from Liaocheng University, Liaocheng, China, in 2021. He is currently a graduate student of the School of Mathematical Sciences, Liaocheng University. His current research interests include semi-tensor product, Boolean networks, finite fields, and multi-agent systems.
Na Zhang received her B.Sc. degree in mathematics and applied mathematics from Liaocheng University, Liaocheng, China, in 2021. She is currently a graduate student of the School of Mathematical Sciences, Liaocheng University. Her current research interests include nonlinear systems, multi-agent systems, and adaptive control and their applications.
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This work was supported by Natural Science Foundation of China(No. 61973148).
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Yang, W., Xia, J., Guo, X. et al. Adaptive Decentralized Event-triggered Tracking Control for Large-scale Strongly Interconnected Nonlinear System with Global Performance. Int. J. Control Autom. Syst. 21, 1547–1559 (2023). https://doi.org/10.1007/s12555-022-0134-4
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DOI: https://doi.org/10.1007/s12555-022-0134-4