Baromand Salman, Zaman Amirreza, Mihaylova Lyudmila
Department of Electrical Engineering, Fasa University, Fasa, Iran.
Control Engineering Group, Department of Computer Science, Electrical and Space Engineering, Luleå University of Technology, Luleå, Sweden.
Heliyon. 2021 Jun 15;7(6):e07294. doi: 10.1016/j.heliyon.2021.e07294. eCollection 2021 Jun.
Control systems need to be able to operate under uncertainty and especially under attacks. To address such challenges, this paper formulates the solution of robust control for uncertain systems under time-varying and unknown time-delay attacks in cyber-physical systems (CPSs). A novel control method able to deal with thwart time-delay attacks on closed-loop control systems is proposed. Using a descriptor model and an appropriate Lyapunov functional, sufficient conditions for closed-loop stability are derived based on linear matrix inequalities (LMIs). A design procedure is proposed to obtain an optimal state feedback control gain such that the uncertain system can be resistant under an injection time-delay attack with variable delay. Furthermore, various fault detection frameworks are proposed by following the dynamics of the measured data at the system's input and output using statistical analysis such as correlation analysis and K-L (Kullback-Leibler) divergence criteria to detect attack's existence and to prevent possible instability. Finally, an example is provided to evaluate the proposed design method's effectiveness.
控制系统需要能够在不确定性下运行，尤其是在受到攻击的情况下。为应对此类挑战，本文针对网络物理系统（CPS）中时变且未知时延攻击下的不确定系统，制定了鲁棒控制解决方案。提出了一种能够应对对闭环控制系统的时延攻击的新颖控制方法。利用广义系统模型和适当的李雅普诺夫泛函，基于线性矩阵不等式（LMI）推导了闭环稳定性的充分条件。提出了一种设计程序，以获得最优状态反馈控制增益，使不确定系统在具有可变时延的注入时延攻击下具有抗性。此外，通过使用诸如相关分析和K-L（库尔贝克-莱布勒）散度准则等统计分析方法，跟踪系统输入和输出处测量数据的动态，提出了各种故障检测框架，以检测攻击的存在并防止可能的不稳定性。最后，给出一个例子来评估所提出设计方法的有效性。
