An inner full-state feedback control model for traffic flow system

Abstract

Abstract In order to discover the compound effect of traffic system’s state variables on its stability properties and inner mechanism, we presented a type of inner full-state feedback control strategy based on optimal velocity model of traffic flow system. We took the car’s velocity and headway as the inner feedback control input parameters and car’s acceleration as the system’s output parameter. With Lyapunov’s direct method, we deduced the new state space equation and its stability condition. Under its stable conditions, we studied the effect of full-state feedback control strategy on traffic flow and the jamming transition by use of numerical and analytical methods. The new system’s controllability and observability were also studied. Numerical simulations verified our analytical results’ correctness.