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Keywords = composite Laplacian quadratics function

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13 pages, 398 KiB  
Article
Regional Consensus Control for Multi-Agent Systems with Actuator Saturation
by Yueyuan Zhang, Yong Qin, Jun Huang, Lin Yang, Tianjiang Zheng and Qingyuan Li
Mathematics 2023, 11(4), 1038; https://doi.org/10.3390/math11041038 - 18 Feb 2023
Viewed by 1733
Abstract
This paper considers the regional consensus problem for multi-agent systems with actuator saturation. By utilizing the theory of convex set, a novel multiple nonlinear feedback control protocol is presented, which can effectively reduce the conservatism in dealing with saturated nonlinear input. In order [...] Read more.
This paper considers the regional consensus problem for multi-agent systems with actuator saturation. By utilizing the theory of convex set, a novel multiple nonlinear feedback control protocol is presented, which can effectively reduce the conservatism in dealing with saturated nonlinear input. In order to obtain a larger estimate on the domain of consensus, the composite Laplacian quadratics function is constructed to derive sufficient conditions for the consensus of multi-agent systems. In addition, an alternative convex hull representation is employed to further enlarge the above-mentioned domain of consensus. Finally, a numerical simulation case study illustrates the validity as well as the superiority of the proposed approaches. Full article
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