Abstract
In this paper, the receding horizon optimal control problem for the stochastic logical dynamical systems with finite state is considered. An algebraic form of dynamic programming algorithm for the finite horizon optimal control problem is given. As an application, the control problem of the residual gas fraction (RGF) in engine is described on the stochastic logical dynamical systems framework to improve engine performance and reject imbalances on cycle-to-cycle variation. Based on the underlying physics of RGF, a logical model-based RGF control algorithm is developed with variable valve timing (VVT) as control actuator. Finally, to demonstrate the performances of the proposed control scheme, the experiment is expressed.
