Co-Design of Distributed Event-Triggered Controller for String Stability of Vehicle Platooning Under Periodic Jamming Attacks

This paper considers the <inline-formula><tex-math notation="LaTeX">$\mathscr{L}_{2}$</tex-math></inline-formula> string stability analysis and controller synthesis for vehicle platooning under jamming attacks and interferences from other communication channels. Jamming attacks and interferences for vehicle platooning systems are modeled as periodic denial of service attacks. Further, the vehicle platooning with denial of service attacks is modeled as a distributed switching system where an average dwell time approach is adopted for the stability analysis. Under the distributed switching system framework, this paper presents a co-design paradigm for the vehicle platooning. The distributed event-triggered method (ETM) and controllers are presented to guarantee <inline-formula><tex-math notation="LaTeX">$\mathscr{L}_{2}$</tex-math></inline-formula> string stability, which can ensure that the output cannot be amplified along the vehicle platooning. Sufficient conditions for <inline-formula><tex-math notation="LaTeX">$\mathscr{L}_{2}$</tex-math></inline-formula> string stability are then provided to guide the co-design of the ETM and controllers, which can be efficiently obtained by solving LMIs. Simulation results are presented to demonstrate the efficacy of the proposed co-design approach in addressing the denial of service attacks for vehicle platooning systems.