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

Abstract : 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.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01085245
Contributor : François Chaplais <>
Submitted on : Friday, November 21, 2014 - 3:10:10 AM
Last modification on : Friday, May 7, 2021 - 5:34:01 PM

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  • HAL Id : hal-01085245, version 1

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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⟩

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