@article{1452108,
      recid = {1452108},
      author = {Yu, Huan and Krstić, Miroslav,},
      title = {Traffic congestion control by PDE backstepping /},
      pages = {1 online resource :},
      abstract = {This monograph explores the design of controllers that  suppress oscillations and instabilities in congested  traffic flow using PDE backstepping methods. The first part  of the text is concerned with basic backstepping control of  freeway traffic using the Aw-Rascle-Zhang (ARZ)  second-order PDE model. It begins by illustrating a basic  control problem suppressing traffic with stop-and-go  oscillations downstream of ramp metering before turning to  the more challenging case for traffic upstream of ramp  metering. The authors demonstrate how to design state  observers for the purpose of stabilization using  output-feedback control. Experimental traffic data are then  used to calibrate the ARZ model and validate the boundary  observer design. Because large uncertainties may arise in  traffic models, adaptive control and reinforcement learning  methods are also explored in detail. Part II then extends  the conventional ARZ model utilized until this point in  order to address more complex traffic conditions:  multi-lane traffic, multi-class traffic, networks of  freeway segments, and driver use of routing apps. The final  chapters demonstrate the use of the  Lighthill-Whitham-Richards (LWR) first-order PDE model to  regulate congestion in traffic flows and to optimize flow  through a bottleneck. In order to make the text  self-contained, an introduction to the PDE backstepping  method for systems of coupled first-order hyperbolic PDEs  is included. Traffic Congestion Control by PDE Backstepping  is ideal for control theorists working on control of  systems modeled by PDEs and for traffic engineers and  applied scientists working on unsteady traffic flows. It  will also be a valuable resource for researchers interested  in boundary control of coupled systems of first-order  hyperbolic PDEs.},
      url = {http://library.usi.edu/record/1452108},
      doi = {https://doi.org/10.1007/978-3-031-19346-0},
}