Control-oriented input-delay model of the distributed temperature of a SI engine exhaust catalyst

Delphine Bresch-Pietri (1) , Thomas Leroy (2) , Nicolas Petit (3)

1 MIT-MECHE - Department of Mechanical Engineering [Massachusetts Institute of Technology]
2 IFPEN - IFP Energies nouvelles
3 CAS - Centre Automatique et Systèmes

This chapter aims at showing how a particular class of input delay ordinary differential equations, in which the time- and input-dependent delay is defined through an implicit integral equation, can be used to model accurately the internal temperature of a Spark-Ignited engine catalyst. The modeling approach is grounded on a one-dimensional distributed parameter model, which is approximated by a time-varying first-order delay system whose dynamics parameters (time constant, delay, gains) are obtained through a simple analytic reduction procedure. Following recent works, the distributed heat generation resulting from pollutant conversion is shown here to be equivalent to an inlet temperature entering the system at a virtual front inside the catalyst. The gain of this new input introduces a coupling to ac- count for the conversion efficiency. Relevance of this real-time compliant model is qualitatively supported by experimental data.

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

Delphine Bresch-Pietri, Thomas Leroy, Nicolas Petit. Control-oriented input-delay model of the distributed temperature of a SI engine exhaust catalyst. Low complexity controllers for time-delay systems, Springer, pp.173-188, 2014, Advances in Delays and Dynamics. ⟨hal-01085245⟩