基于增广Lyapunov函数的干扰攻击不确定网络系统的有限时间控制

Augmented Lyapunov function-based finite-time control of networked system with structural uncertainty and jamming attack

研究了具有结构不确定性和干扰攻击的网络系统的有限时间控制问题。通过构造一个新的增广Lyapunov函数,研究了系统有限时间稳定的充分条件。通过引入线性矩阵不等式方法,将充分条件归结为一个依赖于网络诱导时延和外部干扰界的可行性问题。然后,提出了状态反馈控制器的设计策略,使网络系统更适合工程实际。数值算例说明了该方法的有效性。

In this paper,we consider the finite-time control problem of networked system with structural uncertainty and jamming attack.By constructing a new augmented Lyapunov function,the sufficient condition for the finite time stability of the system is explored.By involving linear matrix inequality approach,the sufficient condition is reduced to a feasibility problem which is dependent on network induced delay and the bound of external disturbance.Then,the design strategy of state feedback controller is proposed,which makes the network system more suitable for engineering practice.A numerical example is presented to illustrate the effectiveness of the proposed method.