This study investigates the problem of adaptive tracking control for switched cyber-physical systems against cyberattacks. A tracking signal is generated using an exogenous system. An adaptive tracking controller is designed to compensate for the attacks and then stabilize the studied systems. A switching signal is constructed using the mode-dependent average dwell time (MDADT) method. By using the multiple Lyapunov function approach, which is associated with the adaptive estimated signal, the closed-loop error systems with cyberattacks are asymptotically stable under the designed adaptive tracking controller and MDADT switching signal, and the system states can asymptotically track the reference signal. Finally, two examples are provided to validate the theoretical results.

本研究调查了针对网络攻击的切换网络物理系统的自适应跟踪控制问题。使用外源系统生成跟踪信号。自适应跟踪控制器旨在补偿攻击，然后稳定所研究的系统。使用依赖于模式的平均驻留时间 (MDADT) 方法构建开关信号。通过使用与自适应估计信号相关联的多重李雅普诺夫函数方法，在设计的自适应跟踪控制器和MDADT切换信号下，具有网络攻击的闭环误差系统渐近稳定，系统状态可以渐近跟踪参考信号。最后，提供了两个例子来验证理论结果。