Guangdong Provincial Key Laboratory of Intelligent Decision and Cooperative Control, School of Automation, Guangdong University of Technology, 510006, Guangzhou, China; Pazhou Lab, 510330, Guangzhou, China.
Guangdong Provincial Key Laboratory of Intelligent Decision and Cooperative Control, School of Automation, Guangdong University of Technology, 510006, Guangzhou, China.
Neural Netw. 2023 Aug;165:228-237. doi: 10.1016/j.neunet.2023.04.013. Epub 2023 May 5.
In this paper, the finite-time cluster synchronization problem is addressed for complex dynamical networks (CDNs) with cluster characteristics under false data injection (FDI) attacks. A type of FDI attack is taken into consideration to reflect the data manipulation that controllers in CDNs may suffer. In order to improve the synchronization effect while reducing the control cost, a new periodic secure control (PSC) strategy is proposed in which the set of pinning nodes changes periodically. The aim of this paper is to derive the gains of the periodic secure controller such that the synchronization error of the CDN remains at a certain threshold in finite time with the presence of external disturbances and false control signals simultaneously. Through considering the periodic characteristics of PSC, a sufficient condition is obtained to guarantee the desired cluster synchronization performance, based on which the gains of the periodic cluster synchronization controllers are acquired by resolving an optimization problem proposed in this paper. A numerical case is carried out to validate the cluster synchronization performance of the PSC strategy under cyber attacks.
本文针对具有聚类特性的复杂动态网络（CDN）在虚假数据注入（FDI）攻击下的有限时间聚类同步问题进行了研究。考虑到一种 FDI 攻击，以反映 CDN 中的控制器可能遭受的数据操纵。为了在降低控制成本的同时提高同步效果，提出了一种新的周期性安全控制（PSC）策略，其中固定节点集周期性变化。本文的目的是推导周期性安全控制器的增益，使得在存在外部干扰和虚假控制信号的情况下，CDN 的同步误差在有限时间内保持在一定阈值内。通过考虑 PSC 的周期性特征，基于该特征，获得了保证期望聚类同步性能的充分条件，在此基础上，通过求解本文提出的优化问题，获得了周期性聚类同步控制器的增益。通过一个数值算例验证了 PSC 策略在网络攻击下的聚类同步性能。
