Model Reduction of Turbocharged (TC) Spark Ignition (SI) Engines

This paper proposes a new procedure to reduce the order of control oriented turbocharged (TC) spark ignition (SI) engine models. The starting point of this work is a higher dimensional, fully validated model defined which is not appropriate for control design. The model reduction technique is based on the identification of time scale separation within the dynamics of various engine state variables with pertinent use of perturbation theory. The model reduction is accomplished in two steps and exploits the dynamic and physical characteristics of engine design and operation. In the first step, regular and singular perturbation theories are collectively employed to eliminate temperature dynamics and replace them with their quasi-steady state values. This is followed by the elimination of fast pressures. As a result, a library of engine models is obtained which are associated with each other on a sound theoretical basis and at the same time allow sufficient flexibility in terms of the reduced order modeling. Different assumptions under which this model reduction is justified are presented and their implications are discussed. The approximating properties of the proposed engine models with respect to the original higher dimensional model are quantitatively assessed through comprehensive simulations.