Title :
Fresh Air Fraction Control in Engines Using Dynamic Boundary Stabilization of LPV Hyperbolic Systems
Author :
Castillo, Felipe ; Witrant, Emmanuel ; Prieur, Christophe ; Talon, Vincent ; Dugard, Luc
Author_Institution :
Lab. de Rech. Grenoble, Images, Parole, Signal, Autom., Univ. Joseph Fourier, Grenoble, France
Abstract :
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 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.
Keywords :
Lyapunov methods; asymptotic stability; diesel engines; linear parameter varying systems; multidimensional systems; robust control; LPV hyperbolic systems; Lyapunov-based techniques; air mass fraction transport phenomenon; convex parameter set; diesel engine; dynamic boundary stabilization; exponential stability; first-order linear parameter-varying hyperbolic systems; fresh air mass fraction control; infinite dimensional systems; low-pressure exhaust gas recirculation; polytopic approach; robust boundary control; sufficient conditions; Atmospheric modeling; Boundary conditions; Electron tubes; Engines; Heating; Linear matrix inequalities; Mathematical model; Automatic control; control design; fluid flow control; fluid flow control.;
Journal_Title :
Control Systems Technology, IEEE Transactions on
DOI :
10.1109/TCST.2014.2356858