WP3: Control/estimation of the Aw-Rascle-Zhang model.

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The second-order Aw-Rascle-Zhang (ARZ) system of first-order hyperbolic Partial Differential Equation (PDE) is a celebrated continuum model of highway traffic flow. The main goal of WP3 is to develop feedforward as well as feedback boundary control laws for a class of 2x2 systems of first-order hyperbolic PDEs. The activities of WP3 are organized as follows.

Task 3.1: Feedforward control design generating the desired reference trajectory.

Task 3.2: Design of the PI controller forcing the system to the desired profile, and compensating disturbances and uncertainties on the system.