间歇牵制控制下非线性多智能体系统的滞后一致性

Lag consensus of nonlinear multi-agent systems via intermittent pinning control

为了使智能体适应相关的间歇信号并降低其控制成本,在间歇牵制控制下,对多智能体系统的滞后一致性问题进行了研究。给出了滞后一致性的定义,然后对于多智能体系统模型,设计了一种合适的间歇牵制控制协议,并运用Lyapunov泛函方法和矩阵不等式理论导出在间歇牵制控制下该系统的滞后一致的充分条件,从而实现了非线性多智能体系统在间歇牵制控制下的滞后一致性。数值模拟实验验证了理论结果的正确性和有效性。

In order to adapt to the relevant intermittent signals and reduce its control cost,the problem of lag consensus of multi-agent system is studied under intermittent pinning control.Firstly,the definition of lag consensus is given,then a suitable intermittent pinning control protocol is designed for the multi-agent system model,and the Lyapunov functional method and matrix inequality theory are used to derive the sufficient conditions for the lag consensus of the system under in-termittent pinning control,thus realizing the lag consensus of the nonlinear multi-agent system under intermittent pinning control.Finally,the correctness and validity of the theoretical results are verified by numerical simulation.