随机脉冲控制下领导-跟随的多智能体系统一致性研究

Mean Square Consensus for Leader-following Multi-agent Systems Via Stochastic Impulsive Control

针对一类非线性领导-跟随多智能体系统,研究随机脉冲控制下多智能体系统的一致性问题。由于脉冲控制在实际系统中,常常会受到各种随机因素的影响,并导致脉冲控制强度发生改变。因此,本文通过引入随机变量,设计了具有随机脉冲强度的分布式脉冲控制协议。随后,利用随机分析的方法给出了在随机脉冲控制下领导-跟随多智能体系统达成一致的充分条件。最后,作为特例还给出了拒绝服务攻击下领导-跟随多智能体系统的一致性准则。

This paper investigates the problem of consensus for a class of nonlinear leader-following multi-agent systems via stochastic impulsive control.First,a distributed impulsive control protocol with random impulsive strength is designed by introducing a set of random variables.Then,sufficient conditions for the leader-following multi-agent system to reach consensus via stochastic impulsive control are obtained by using a probabilistic analysis approach.Finally,the consensus criterion is provided as a special case for the leader-following multi-agent systems under denial-of-service attacks.