Smooth Switching Hinf PI Controller for Local Traffic On-ramp Metering, an LMI Approach
Résumé
This paper deals with the design of robust Hinf PI controllers for traffic control. The uncertain Cell Transmission Model (CTM) used in this article is a switched affine uncertain system. A robust PI controller is calculated for each mode of the CTM. Since the switching law contains uncertainties there is chattering issues at switching surface. To deal with this problem, we propose to use a smooth switching rule. The smooth switching is realized applying a convex combination of controllers on the system. The choice of the convex combination is motivated by a statistical analysis of experimental data. The global stability of the closed loop system is proven by computing a PieceWise Quadratic (PWQ) Lyapunov function. A LMI is given to calculate the controllers. The approach is illustrated and validated in a study-case simulation.
Domaines
AutomatiqueOrigine | Fichiers produits par l'(les) auteur(s) |
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