网络攻击下的Markov跳变系统有限时间控制

Finite-Time Control of Markov Jump Systems Under Cyber-Attacks

网络攻击多样化、分布式和高频率的特点,对国民经济和社会发展带来巨大威胁.在工业控制领域,针对网络控制系统安全的研究愈发重要.主要考虑了一类基于混杂驱动机制与双通道量化的Markov跳变系统,研究了系统在网络攻击下的有限时间稳定和H_∞性能.首先,建立输出反馈的Markov跳变系统模型,设计了输出反馈控制器.为减少控制系统中公共网络带宽负担,降低无效信号的传输率,在传统事件触发机制基础上,引入混杂驱动机制和双通道对数量化器,平衡系统性能和通信数据传输率.然后,引入网络攻击模型,增强Markov跳变系统对外部攻击的抵抗性.构造Lyapunov-Krasovskii泛函,利用线性矩阵不等式给出系统在有限时间的稳定性判据和H_∞性能指标,最后通过2个仿真实例证明所提出的定理的有效性.

The characteristics of diversity,distributed and high frequency of cyber-attacks bring great threat to national economy and social development.In the field of industrial control,the research on networked control systems security becomes more and more important.In this paper,it investigates the problem of Markov jump systems based on hybrid-drive mechanism and both channel quantizations,and considers the finite-time stability and H_∞performance of the system under cyber-attacks.Firstly,an output feedback Markov jump system model is formulated and the corresponding output feedback controller is designed.For the purpose of releasing the sharing network bandwidth burden and reducing the invalid signal transmission rate,hybrid-driven mechanism and both channel logarithmic quantizers are introduced on the basis of traditional eventtriggered mechanism to balance the system performance and communication data transmission rate.Then,the model of cyber-attacks is established to enhance the resistance of Markov jump system to external attack.By constructing Lyapunov-Krasovskii functions,the system finite-time stability criteria and H_∞performance index are given with linear matrix inequations.Finally,two simulations are shown to illustrate the effectiveness of the deduced theorem.