Mathematics (Feb 2023)

Regional Consensus Control for Multi-Agent Systems with Actuator Saturation

  • Yueyuan Zhang,
  • Yong Qin,
  • Jun Huang,
  • Lin Yang,
  • Tianjiang Zheng,
  • Qingyuan Li

DOI
https://doi.org/10.3390/math11041038
Journal volume & issue
Vol. 11, no. 4
p. 1038

Abstract

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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.

Keywords