Modeling and solving an engine intake manifold with turbo charger for predictive control

Long Xie*, Harutoshi Ogai, Yasuaki Inoue

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


In this paper, we build the intake manifold model of an engine with a turbo charger and develop a high speed calculation algorithm for model-based predictive control in real time. The model is built according to the analysis of its thermodynamic and hydrodynamic characteristics and the sampled experiment data. The model equations are presented as a set of differential equations with condition selection (bifurcation) on the right hand side. The switching surface is divided into two parts, sliding and crossing. The sliding mode on the switching surface is analyzed in detail, and a calculation algorithm is proposed to remove illegal crossing caused by the numerical errors on this surface. Also, the control formula and the condition guiding the bifurcation between these two parts are demonstrated. Using this method, we can solve this model over the entire region of input throttle angles, the stability is greatly increased, and the calculation time is greatly reduced for real time control systems.

Original languageEnglish
Pages (from-to)210-218
Number of pages9
JournalAsian Journal of Control
Issue number3
Publication statusPublished - 2006 Sept


  • Manifold model
  • Real time predictive control
  • Sliding mode

ASJC Scopus subject areas

  • Control and Systems Engineering


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