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.
Complete list of metadatas

Cited literature [18 references]  Display  Hide  Download
Contributor : Liudmila Tumash <>
Submitted on : Thursday, October 24, 2019 - 1:50:13 PM
Last modification on : Friday, October 25, 2019 - 1:52:50 AM


Files produced by the author(s)


  • HAL Id : hal-02331493, version 1



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⟩



Record views


Files downloads