Consensus of Nonlinear Multiagent Systems with Transmission Delays and Deception Attacks via Sampled-Data Control

Shengzhi Han, Qishui Zhong, Kaibo Shi, Jin Yang
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Abstract

The consensus issue for the nonlinear multiagent systems (MASs) with transmission delays subjected to deception attacks is addressed based on sampled-data control. Due to the universality of cyber attacks, this paper considers a kind of deception attacks which occur randomly at sampling instant and can modify the communication information. By employing the two-sided looped-functional method, an augmented Lyapunov-Krasovskii functional (LKF) is constructed to fully utilize the information on the sampling interval, which makes some free matrices be not necessarily positive definite. Then, the sufficient criteria are presented to ensure the consensus of MASs with deception attacks. Furthermore, the controller gain matrix and the maximal sampling interval are obtained based on the decoupled approach. Finally, the numerical example is exploited to verify the effectiveness of our results.
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具有传输延迟和欺骗攻击的非线性多智能体系统的一致性
基于采样数据控制,解决了具有传输延迟的非线性多智能体系统在欺骗攻击下的一致性问题。鉴于网络攻击的普遍性,本文考虑了一种随机发生在采样时刻并能修改通信信息的欺骗攻击。利用双向环泛函方法,构造了一个增广Lyapunov-Krasovskii泛函(LKF),充分利用了采样区间上的信息,使得一些自由矩阵不一定是正定的。在此基础上,提出了足够的准则来保证MASs在欺骗攻击下的一致性。在此基础上,利用解耦方法得到了控制器增益矩阵和最大采样间隔。最后,通过数值算例验证了所得结果的有效性。
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