基于自适应事件触发的复杂网络的非脆性安全同步控制

Adaptive event-triggered nonfragile security synchronization control of complex networks

研究了网络攻击环境下具有随机动态行为和时变时滞的复杂网络的非脆性同步控制问题.首先,为了能更好地节约通信资源,采用了分散式的自适应的事件触发机制.其次,考虑到控制器执行时会产生一些小的增益变化,为了处理这一问题,在设计控制器的时候,通过插入不确定项的方法引进了非脆性的概念.随后,由于网络通信时可能会发生网络攻击行为以及产生时滞,建立了一个新的复杂网络安全同步误差模型,应用随机性分析的技术以及Lyapunov稳定性方法,得到了误差系统渐近稳定的充分条件,然后通过求解线性矩阵不等式的方法得到了控制器增益和自适应事件触发机制的参数矩阵.最后,选取一个数值仿真例子来验证本文所提方法的有效性.

In this paper, we study the nonfragile synchronization control of complex networks(CNs)with random dynamic behavior and time-varying delay under cyber-attacks. Firstly, in order to save communication resources, a decentralized adaptive event-triggered mechanism is introduced. Secondly,considering that the controller will produce some small gain changes when it is executed, the concept of nonfragility is introduced by the method of inserting uncertainties to deal with this problem. Then, due to the possible cyber-attacks and time-varying delay in network communication, a new CNs security synchronization error model is established. By using the technology of stochastic analysis and Lyapunov stability method, we obtain the sufficient conditions for the asymptotic stability of the error system.Immediately, by solving the linear matrix inequalities(LMI), the parameter matrices of controller gain and adaptive event-triggered mechanism are obtained. Finally, a numerical simulation example is selected to verify the effectiveness of the proposed method.