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Application of PDE Constrained Optimization in Internal Combustion Engine Pollution Control

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  • Hongliang Guan
  • Kenan Yildirim

Abstract

Aiming at the problem of secondary pollution of waters due to the difficulty of controlling the dosage of purifiers in the treatment of internal combustion engine pollution, a partial differential equation (referred to as PDE) constrained optimization algorithm based on l1-norm is proposed. The algorithm first converts the internal combustion engine control model of the scavenger dose into a constrained optimization problem with a l1-penalty term. Secondly, it introduces a dose constraint condition based on PDE and uses the inherent property of Moreau-Yosida regularization to establish a smooth minimization function. Finally, the semismooth Newton method is used to iteratively find the optimal solution. The results of the comparison experiment show that the algorithm in this paper has a great improvement in the results of Newton step number and dose area percentage.

Suggested Citation

  • Hongliang Guan & Kenan Yildirim, 2023. "Application of PDE Constrained Optimization in Internal Combustion Engine Pollution Control," Journal of Mathematics, Hindawi, vol. 2023, pages 1-8, February.
    • Handle: RePEc:hin:jjmath:8413894
    DOI: 10.1155/2023/8413894
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