Stochastic logical transient model-based RGF regulation of gasoline engines

In this paper, we consider the optimal control problem for the residual gas fraction in internal combustion engines. After discussing the stochastic characteristic of distribution of residual gas fraction under different variable valve timing (VVT) degrees, a multi-valued logical dynamical model is developed to capture the stochastic evolution of RGF from one cycle to the next under the effect of VVT. An algebraic form of dynamic programming algorithm is given to solve the optimal control problem for the residual gas fraction. Finally, to demonstrate the performances of the proposed control scheme, the experiment is expressed.