Abstract | ||
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This paper develops full-state feedback boundary control to reduce two-lane traffic congestion in a freeway segment. The macroscopic traffic dynamics is described by a two-lane Aw-Rascle-Zhang(ARZ) model with lane-changing between a fast and a slow lane. The traffic density and speed of each lane is governed by a coupled second-order, nonlinear hyperbolic partial differential equations(PDEs). Lane-changing interactions lead to exchanging source terms between these two second-order PDEs. We linearize it around a reference system regarding driver's preference over the fast and slow lane. To stabilize the oscillations of traffic densities and speeds in this two-lane problem, two variable speed limits are applied at outlet boundary, controlling the traffic speed of each lane respectively. Using backstepping transformation, we map the coupled hetero-directional hyperbolic system into a cascade target system, in which traffic oscillations can be damped through the actuation of speeds at outlet boundary. Two full-state feedback boundary control laws are developed and the finite time convergence to equilibrium is achieved for the closed-loop system. |
Year | DOI | Venue |
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2018 | 10.1109/CDC.2018.8619095 | 2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC) |
Field | DocType | ISSN |
Convergence (routing),Backstepping,Oscillation,Nonlinear system,Computer science,Control theory,Cascade,Partial differential equation,Traffic congestion,Finite time | Conference | 0743-1546 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Huan Yu | 1 | 46 | 13.63 |
Miroslav Krstic | 2 | 4987 | 553.84 |