Composite Anti‐Disturbance Memory Consensus Control of Nonlinear Multi‐agent Systems Under Periodic DoS Attacks

ABSTRACT In this article, a new composite consensus strategy for a class of nonlinear multi‐agent systems (MASs) under denial‐of‐service (DoS) attacks with two different kinds of disturbance has been presented, based on performance approach and a disturbance observer‐based method. In this case, one of the disturbances is typically norm‐bound, but the other is caused by an exogenous system acting via the input channel. The attacks are considered to occur on a periodic basis, with the data being hacked by the attackers in the communication channel. The main goal of this article is to evaluate the disturbance in the input signal, even in the midst of the attack, where the output is incorporated with the memory feedback control rule. Moreover, the information regarding the system's past and present states is used to design the control strategy. A sufficient condition is derived by introducing the Lyapunov–Krasovskii functional (LKF) based stability theory, ensuring consensus for the resulting closed‐loop system. The superiority and reliability of the established theoretical results are demonstrated by two numerical examples.