Wang Jian, Wang Wei, Liang Xiaofeng
Key Laboratory of Marine Intelligent Equipment and System Ministry of Education, Shanghai Jiao Tong University, Shanghai, 200240, PR China.
School of Information Engineering, Zhongnan University of Economics and Law, Wuhan 430073, PR China; School of Electrical and Information Engineering, Tianjin University, Tianjin, 300072, PR China.
ISA Trans. 2024 Jun;149:44-53. doi: 10.1016/j.isatra.2024.04.025. Epub 2024 Apr 25.
The finite-horizon optimal secure tracking control (FHOSTC) problem for cyber-physical systems under actuator denial-of-service (DoS) attacks is addressed in this paper. A model-free method based on the Q-function is designed to achieve FHOSTC without the system model information. First, an augmented time-varying Riccati equation (TVRE) is derived by integrating the system with the reference system into a unified augmented system. Then, a lower bound on malicious DoS attacks probability that guarantees the solutions of the TVRE is provided. Third, a Q-function that changes over time (time-varying Q-function, TVQF) is devised. A TVQF-based method is then proposed to solve the TVRE without the need for the knowledge of the augmented system dynamics. The developed method works backward-in-time and uses the least-squares method. To validate the performance and features of the developed method, simulation studies are conducted in the end.
本文研究了执行器拒绝服务（DoS）攻击下网络物理系统的有限时域最优安全跟踪控制（FHOSTC）问题。设计了一种基于Q函数的无模型方法，在无需系统模型信息的情况下实现FHOSTC。首先，通过将系统与参考系统集成到一个统一的增广系统中，推导了一个增广时变黎卡提方程（TVRE）。然后，给出了保证TVRE解的恶意DoS攻击概率的下界。第三，设计了一个随时间变化的Q函数（时变Q函数，TVQF）。接着提出了一种基于TVQF的方法来求解TVRE，而无需了解增广系统动态。所提出的方法采用时间逆向工作，并使用最小二乘法。最后通过仿真研究验证了所提方法的性能和特点。
