Distributed robust $${{\varvec{H}}}_{\varvec{\infty }}$$ H ∞ control of connected eco-driving system with time-varying delay and external disturbances in the vicinity of traffic signals

Abstract

In order to improve traffic efficiency and reduce fuel consumption and CO $$_{2}$$ emission, most existing models are considered as an optimization problem. However, these models cannot provide a satisfactory solution when nonlinear time-varying system and external disturbances are investigated for connected vehicles in the vicinity of traffic signals. In this paper, connected eco-driving system with time-varying delay and external disturbances in the vicinity of traffic signals is proposed from cyber-physical perspective firstly. Second, distributed robust $$H_\infty $$ control of connected eco-driving system is investigated by adopting Lyapunov–Krasovskii stability theory and the feedback controller is designed to attenuate that closed-loop system is robustly stable with disturbance attenuation level. Third, the sufficient conditions for the state feedback controller are given via employing linear matrix inequality. Finally, numerical simulations are executed to verify the effectiveness and feasibility of the proposed control strategies. The results indicate that the proposed control strategies for connected eco-driving system in the vicinity of traffic signals could not only improve traffic efficiency and make traffic flow smooth, but also reduce fuel consumption and CO $$_{2}$$ emission.