Feedback Linearization-Based Perimeter Controllers for Oversaturated Regions

This paper concerns the perimeter control problem in the oversaturated region. The road network system is a nonlinear system. However, the existing achievements in the perimeter control setting are obtained by partially linearizing the system model around the point of interest, which is a local linearization and probably leads to lower traffic performances. To this end, a feedback linearization-based proportional and integral perimeter controller is developed to regulate the overall traffic state towards the desired accumulation state. Theoretical analysis demonstrates that the proposed feedback linearization-based control method can guarantee the exponentially asymptotic convergence of the protected road network state to the desired one. To evaluate the proposed methodology, extensive simulation tests are conducted, in which the proposed controller is compared with the existing proportional and integral control strategy. The results indicate that the proposed feedback linearization-based proportional and integral perimeter controller can: (i) relieve the overall congestion in the urban network; and (ii) enhance the traffic performance in terms of the cumulative throughput and the mean speed.