Output feedback control of two-lane traffic congestion

This paper develops output feedback boundary control to mitigate traffic congestion of an unidirectional two-lane freeway segment. The macroscopic dynamics are described by the Aw–Rascle–Zhang (ARZ) model respectively for both fast and slow lanes. density velocity each two lanes governed coupled 2 × nonlinear hyperbolic partial differential equations (PDEs). Lane-changing interactions between lead exchanging source terms pairs second-order PDEs. Therefore, we dealing with 4 Based on driver’s preference lanes, a reference system lane-specific uniform steady states in congested is chosen. To stabilize densities velocities states, distinct variable speed limits (VSLs) applied at outlet boundary, controlling lane. Using backstepping transformation, map heterodirectional PDE into cascade target system, which oscillations damped out through actuation downstream boundary. Two full-state laws developed. We also design collocated observer state estimation sensing outlet. Output controllers obtained combining controllers. finite time convergence equilibrium achieved performance improvement fuel consumption, drivers’ comfort total travel demonstrated proposed some parameter choice, compared open-loop system. validated different scenarios one-lane PI designs.