电光与控制, 2020, 27 (8): 5, 网络出版: 2020-12-25
具有时延和网络攻击的多智能体系统一致性
Consensus of Multi-agent Systems Under Time Delay and Cyber Attacks
线性多智能体系统 一致性 时变延时 随机网络攻击 linear multi-agent system consensus time-varying delay stochastic cyber attacks
摘要
针对具有时变延时控制输入及双端随机网络攻击的一般线性多智能体系统一致性问题,提出了一种新方法。考虑了网络延时以及随机网络攻击对系统的影响,其中,随机网络攻击发生的概率服从随机伯努利分布,在时变延时控制输入及双端随机网络攻击下,建立了闭环控制系统的数学模型。基于李雅普诺夫稳定性理论和线性矩阵不等式理论,提出了具有时延和网络攻击的多智能体系统一致性定理,即给出了能够保证系统在均方意义上实现一致性的充分条件。最后通过仿真实例验证了该理论方法的有效性。
Abstract
To solve the consensus problem of general linear multi-agent systems under the time-varying delay control input and double-ended stochastic cyber attacks,a new method is proposed.The impact of both cyber delay and the stochastic cyber attacks on the system is considered in this paper,and the occurring probability of stochastic cyber attacks conforms to stochastic Bernoulli distribution.The mathematical model of the closed-loop control system is established under the time-varying delay control input and double-ended stochastic cyber attacks.Based on Lyapunov stability theory and Linear Matrix Inequality (LMI) theory,a multi-agent system consistency theorem under time delay and cyber attacks is proposed,which gives sufficient conditions to ensure the system consistency in the mean square sense.Finally,the effectiveness of the theoretical method is verified by simulation experiments.
陈侠, 尹立远. 具有时延和网络攻击的多智能体系统一致性[J]. 电光与控制, 2020, 27(8): 5. CHEN Xia, YIN Liyuan. Consensus of Multi-agent Systems Under Time Delay and Cyber Attacks[J]. Electronics Optics & Control, 2020, 27(8): 5.