Centralized Controller Design for the Moving Vehicles in a Platoon to Achieve the Robust String Stability

Advanced traffic control strategies are designed to improve the safety issue، as well as these strategies consider the dynamic of vehicles in traffic system. One important issue in the field of automatic traffic control in platoons is the string stability. In this paper، a robust centralized traffic control system، for a platoon of the same vehicles based on the linear matrix inequalities (LMIs)، is designed. This control system satisfies the robust stability and robust string stability conditions. Simulation results are presented to show the effectiveness of the control design methodology.