Abstract
This paper investigates the cooperative output regulation problem of heterogeneous linear parameter-varying multi-agent systems under denial-of-service (DoS) attacks. The matrix and state of the exosystem are taken to be unknown to the followers. Moreover, with the assumption that only a directed spanning tree exists in the communication topology, a resilient observer is proposed to exponentially estimate the global information, which can also be effective under DoS attacks with a certain intensity. Afterward, to avoid using the exact value of the exosystem matrix, a distributed online algorithm is proposed, through which the linear parameter-varying output regulation equation is asymptotically solved. Based on the resilient observer and the solution of the output regulation equation, a distributed regulator is proposed to achieve asymptotic cooperative output regulation for all agents. Some numerical simulations are conducted to verify the effectiveness of the proposed observer, algorithm, and controller.
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Acknowledgements
This work was supported by National Natural Science Foundation of China (Grant Nos. 62273255, 62150026), in part by Shanghai International Science and Technology Cooperation Project (Grant Nos. 21550760900, 22510712000), in part by Shanghai Municipal Science and Technology Major Project (Grant No. 2021SHZDZX0100), and in part by Fundamental Research Funds for the Central Universities. Thanks to Mr. Yue HU and Editor Leonardo for language polishing.
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Fu, C., Zhang, H., Huang, C. et al. Secure cooperative output regulation for linear parameter-varying systems under DoS attacks: a resilient observer approach. Sci. China Inf. Sci. 66, 190203 (2023). https://doi.org/10.1007/s11432-022-3792-5
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DOI: https://doi.org/10.1007/s11432-022-3792-5