Control design for residual gas fraction in engine based on stochastic logical dynamics

In this paper, the optimal control scheme for residual gas fraction is proposed considering the stochastic property in engine. Initially, the receding horizon optimal control problem for the stochastic logical dynamical systems with finite states is considered. Based on transition probability and semi-tensor product of matrix, a succinct algebraic expression of dynamic programming algorithm is derived to solve the receding horizon control problem. Then, an optimal controller designed to reduce the variation of residual gas fraction in the framework of stochastic logician dynamical model, in which variable valve timing is taken as the control actuator. Validation results are demonstrated which conducted on a full-scaled gasoline engine test bench.