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This paper investigates the boundary feedback control for the two-lane traffic flow with lane-changing interactions in the presence of actuator saturations. The macroscopic traffic dynamics are described by the Lighthill-Whitham-Richards (LWR) model for both two lanes. Two variable speed limits (VSLs) are applied at boundaries for controlling the vehicle velocity so as to stabilize the traffic density of each lane. A saturated boundary feedback controller is proposed to drive the traffic densities of both lanes to the steady states. In contrast to the fruitful results in saturated control of ordinary differential equation (ODE) systems, there are few related studies for hyperbolic partial differential equation (PDE) systems. We define the exponential stability for the hyperbolic PDEs under saturated control. Then sufficient conditions for ensuring exponential stability of the two-lane traffic flow system are developed in terms of matrix inequalities under both the linear and nonlinear cases, by employing the Lyapunov function method along with a sector condition in L2-norm and H2-norm, respectively. Finally, the effectiveness of the proposed conditions is validated by numerical simulations. © 2022 IEEE.
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ISSN: 0743-1546
Year: 2022
Volume: 2022-December
Page: 838-843
Language: English
Cited Count:
SCOPUS Cited Count: 4
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 3
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