Sliding mode consensus control for multi-agent systems under component-based weighted try-once-discard protocol

ABSTRACTThis paper investigates the consensus problem of the multi-agent system by means of the sliding mode control (SMC) approach. For each agent, the component-based weighted try-once-discard protocol is used for scheduling the transmission of error signals via communication network to the controller. Only one node with the greatest difference at each moment can send its information through the network to the controller. Then, taking the protocol's impact into account, a token-dependent sliding mode controller is designed. Both the asymptotic stability of the closed-loop error system and the reachability of the specified sliding surface are achieved. In addition, by utilising the optimised solving algorithm, the controller gains are attained. Eventually, a simulation example proves the effectiveness of the suggested SMC approach.Keywords: Multi-agent systemcomponent-based weighted try-once-discard protocolsliding mode controlconsensus Disclosure statementThe authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.Data Availability StatementData sharing not applicable to this article as no datasets were generated or analysed during the current study.Additional informationFundingThis work was supported in part by the NNSF of China [grant number 62073139].Notes on contributorsJiancheng XuJiancheng Xu received the B. S. degree in Automation from Anhui University, Hefei, China, in 2021. He is currently pursuing his M. S. degree in Control Science & Engineering at East China University of Science and Technology, Shanghai, China. His current research areas are Multi-agent systems, sliding mode control.Yugang NiuYugang Niu received the M.Sc. and Ph.D. degrees in control engineering from the Nanjing University of Science and Technology, Nanjing, China, in 1992 and 2001, respectively. In 2003, he joined the School of Information Science and Engineering, East China University of Science and Technology, Shanghai, China, where he is currently a professor. He is also the member of the Conference Editorial Board of IEEE Control Systems Society and the Associate Editor for several international journals, including Information Sciences, Neurocomputing, IET Control Theory & Applications, Journal of The Franklin Institute, and International Journal of System Sciences. His current research interests include stochastic systems, sliding mode control, Markovian jump systems, networked control systems, wireless sensor networks, and smart grid.Xinyu LvXinyu Lv received the B.S. degree in applied mathematics and M.S. degree in control theory from Qufu Normal University, Qufu, China, in 2017 and 2020, respectively. She is currently pursuing the Ph.D. degree in control science and engineering with the East China University of Science and Technology, Shanghai, China. Her current research interests include two-dimensional systems, event-triggered control and sliding mode control. Wen Li received the B. S. degree in Automation from Nanjing Tech University, Nanjing, China, in 2020. She received the M. S. degree in Control Science & Engineering at East China University of Science and Technology, Shanghai, China, in 2023. Her research areas are Multi-agent systems, sliding mode control.