In this paper, the resilient control for linear discrete-time multi-agent networks subjected to unconfined cyber-attacks is investigated based on a data-driven method. Firstly, according to the evolution of the original network dynamics, a distributed data-driven estimation algorithm is presented. On this basis, a switching control law is proposed to solve the resilient consensus problem for the discrete-time multi-agent network under unconfined cyber-attacks. Further, some necessary and sufficient conditions for designing the resilient controllers are obtained by solving a nonlinear matrix inequation. Secondly, the proposed data-driven method is extended to study the resilient tracking control and formation control problems. Finally, some numerical simulations are provided to verify the effectiveness of the data-driven resilient control method.

中文翻译：

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无限制网络攻击下线性离散时间多代理网络的数据驱动弹性控制

在本文中，基于数据驱动的方法研究了受到无限制网络攻击的线性离散时间多代理网络的弹性控制。首先，根据原始网络动态的演化，提出了一种分布式数据驱动的估计算法。在此基础上，提出了一种切换控制律来解决离散时间多智能体网络在无限制网络攻击下的弹性共识问题。此外，通过求解非线性矩阵不等式，获得了设计弹性控制器的一些充分必要条件。其次，将所提出的数据驱动方法扩展到研究弹性跟踪控制和编队控制问题。最后，提供了一些数值模拟来验证数据驱动的弹性控制方法的有效性。