Robust tracking control design for fluid traffic dynamics

Liudmila Tumash 1 Carlos Canudas de Wit 1 Maria Laura Delle Monache 1
1 NECS-POST - Systèmes Commandés en Réseau
GIPSA-DA - Département Automatique, Inria Grenoble - Rhône-Alpes
Abstract : The paper is devoted to the boundary control of the traffic system described by the LWR model with a triangular fundamental diagram and a space-dependent in-domain unknown disturbance, which can be described as an inhomogeneous transport equation. The controller design strategy aims first at stabilizing the deviation from the desired time-dependent trajectory and then at minimizing the deviation in the sense of two possible space-norms (i.e. L 2 and L ∞). Numerical simulations for both L 2 and L ∞ minimization cases are presented to evaluate the improvements obtained with this control design.
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Liudmila Tumash, Carlos Canudas de Wit, Maria Laura Delle Monache. Robust tracking control design for fluid traffic dynamics. 58th Conference on Decision and Control, Dec 2019, Nice, France. ⟨hal-02331493⟩

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