Non‐fragile H∞ control for LPV‐based CACC systems subject to denial‐of‐service attacks

Abstract

Abstract This paper is concerned with a non‐fragile H∞ state feedback control issue for linear parameter‐varying collaborative adaptive cruise control systems subject to denial‐of‐service attacks. The dynamics of the collaborative adaptive cruise control system is described by a linear model where the deviation of the position and the velocity are selected as the state variables. The attack model is utilized, thereby better reflecting the randomly occurring phenomenon of the denial‐of‐service attacks based on a sequence of binary random variables. The main objective of this note is to develop a non‐fragile state feedback control scheme such that, for denial‐of‐service attacks and possible parameter variations in controller gains, the exponential mean‐square stability and the predefined performance index for the system states are guaranteed simultaneously. By using the matrix analysis techniques and Lyapunov stability theory, sufficient conditions for the desired controller are established and solved based on the solutions to the linear matrix inequality conditions. Finally, a three‐car model is provided to check the feasibility of the designed control scheme.

Keywords

• Velocity, acceleration and rotation control
• Interpolation and function approximation (numerical analysis)
• Algebra
• Other topics in statistics
• Linear control systems
• Control system analysis and synthesis methods