“…In summary, the developed model compared to these previous low-order models [12]- [17], [34] captures the coupling introduced by the unburned fuel mass that has been identified as an important mechanism, in addition to charge temperature, for explaining the high CV [4]. In comparison with higher fidelity models, such as [26] and [27], the developed second-order model (25) captures the main mechanisms and is more amenable for nonlinear control development. Finally, it can be noted that all the previously mentioned HCCI models are deterministic while the model of the residual gas fraction (24) introduces a stochastic element, which is essential in order to reproduce the dynamic evolution observed in experiments as shown in the remainder of this paper.…”