ODE–热方程级联系统的事件触发控制

本文针对常微分方程(ODE)耦合偏微分方程(PDE)建模的分布式参数多智能体系统进行研究, 针对一致性同步问题, 提出了事件触发的网络化ODE–热方程级联系统多智能体一致性边界交互协议. 本文考虑的热方程左边界为Neumann边界条件, 并且与ODE系统耦合, 右边界为绝热边界条件. 假设网络化多智能体系统的连接方式为全联通有向拓扑图, 给出ODE–热方程级联系统的多智能体的一致性控制协议. 另外针对现有数字式控制器, 设计了事件触发的一致性控制协议, 并利用李雅普诺夫函数验证了在事件触发条件下ODE–热方程级联系统的稳定性. 最后给出了由5个ODE–热方程级联的多智能体系统的仿真结果, 验证了事件触发控制器的有效性.

Event-triggered control of ode-heat equation cascade system

In this paper, a distributed parameter multi-agent system modeled by the ordinary differential equation (ODE) coupled with the partial differential equation (PDE) is studied, and an event-triggered networked ODE-heat equation cas-cade system with multi-agent consensus boundary interaction protocol are proposed. The left boundary of the heat equation considered in this paper is the Neumann boundary condition, which is coupled with the ODE system, and the right bound-ary is the adiabatic boundary condition. It is assumed that the connection mode of the networked multi-agent system is fully connected and directed the topology diagram, the multi-agent consensus control protocol of the ODE-heat equation cascade system is given. In addition, for the existing digital controller,event-triggered-based consensus control protocol is designed, and the Lyapunov function is used. The stability of the ODE-heat equation cascade system is verified under the event-triggered condition. Finally, the simulation results of the multi-agent system composed of five ODE-heat equation cascades are given, which verifies the effectiveness of the event-triggered controller.