Fresh Air Fraction Control in Engines Using Dynamic Boundary Stabilization of LPV Hyperbolic Systems

Felipe Castillo (1, 2) , Emmanuel Witrant (3) , Christophe Prieur (1) , Vincent Talon (2) , Luc Dugard (3)

1 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité
2 Technocentre Renault [Guyancourt]
3 GIPSA-SLR - GIPSA - Systèmes linéaires et robustesse

In this paper, we consider the boundary control of the fresh air mass fraction in a Diesel engine operated with low-pressure exhaust gas recirculation. The air mass fraction transport phenomenon is modeled using a cascade of first-order linear parameter varying (LPV) hyperbolic systems with dynamics associated with their boundary conditions. By means of Lyapunov based techniques, sufficient conditions are derived to guarantee the exponential stability of this class of infinite dimensional systems. We develop a polytopic approach to synthesize a robust boundary control that guarantees the exponential stability for a given convex parameter set. Simulation results illustrate the effectiveness of the proposed boundary control to regulate the mass fraction of fresh air in a Diesel engine.

Domaines: Automatique / Robotique

Felipe Castillo, Emmanuel Witrant, Christophe Prieur, Vincent Talon, Luc Dugard. Fresh Air Fraction Control in Engines Using Dynamic Boundary Stabilization of LPV Hyperbolic Systems. IEEE Transactions on Control Systems Technology, 2015, 23 (3), pp.963-974. ⟨10.1109/TCST.2014.2356858⟩. ⟨hal-01144114⟩