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Distributed \(H_{\infty }\) Consensus Control with Nonconvex Input and Velocity Constraints

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Proceedings of 2019 Chinese Intelligent Systems Conference (CISC 2019)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 592))

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Abstract

This paper investigates the distributed \(H_{\infty }\) consensus problem for second-order multi-agent systems of directed networks. We propose a nonlinear protocol to ensure the consistency of all agents, while input and velocity states stay in certain nonconvex constraint sets. Using this protocol, the stability of the transformed system is demonstrated. Some sufficient conditions are obtained to guarantee the consistency of system under the effect of interference. Furthermore, we provided a simulation result to demonstrate the feasibility of the proposed theory.

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Correspondence to Jiahui Shi .

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Shi, J., Zhu, H. (2020). Distributed \(H_{\infty }\) Consensus Control with Nonconvex Input and Velocity Constraints. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2019 Chinese Intelligent Systems Conference. CISC 2019. Lecture Notes in Electrical Engineering, vol 592. Springer, Singapore. https://doi.org/10.1007/978-981-32-9682-4_42

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