Adaptive cruise control of vehicles subject to Denial-of-Service

In this paper, we present an adaptive cruise controller with time-varying sampling period for the case that the local communication network of vehicles is subjected to denial of service (DoS) attacks. Combining the model of adaptive cruise control systems and the linear quadratic optimal control (LQR) method, the adaptive cruise controller of vehicles is designed. Then dependence of the sampling interval with closed-loop input-to-state stability of vehicle adaptive cruise systems subject to Dos attacks is analyzed by the concept of input-to-state stability. The admissible upper limit of the duty ratio for DoS attacks that the LQR cruise controller of the vehicle can endure is computed. Moreover, some appropriate sampling period is given to make the cruise controller satisfy the input-to-state stability robust index. Finally, the effectiveness of the obtained results is demonstrated by numerical simulation experiments.