Iterative learning consensus control of nonlinear impulsive distributed parameter multi-agent systems

作者：Wu, Jing; Dai, Xisheng^*; Tian, Senping; Huang, Qingnan

来源：EUROPEAN JOURNAL OF CONTROL, 2023, 71: 100785.

DOI：10.1016/j.ejcon.2023.100785

• Consensus
• ILC
• Distributed parameter
• Impulsive
• MAS

This paper studies the consensus control of nonlinear impulsive distributed parameter multi-agent sys-tems (IDPMASs), whose dynamic behavior depends on time and space. First, to achieve the complete consensus for nonlinear parabolic IDPMAS, a distributed P-type iterative learning consensus control pro-tocol is proposed that includes network topologies information and nearest neighbor knowledge. Using impulsive Gronwall inequality and mild solution formula based on operator semigroup, the rigorous con-vergence analysis of consensus errors is provided, and convergence conditions are established as well. Furthermore, the consensus control of nonlinear second-order hyperbolic IDPMAS is investigated that employ an open-closed-loop P-type consensus control protocol, which uses both currents iterative con -sensus error and last iterative consensus error. The theoretical result of this paper shows the consensus errors between any 2 agents can converge to 0 with the increase in iterations under given conditions. Finally, two numerical simulations are given to demonstrate the effectiveness of the proposed methods.

• 单位
  广西大学