One Step Ahead MPC for an Automotive Control Application

The problem considered in this paper is to damp out the longitudinal driveline oscillations that appear during gearshift, while traversing backlash or when tip-in and tip-out maneuvers are performed. MPC is increasingly seen as an attractive technology, as such, a one step ahead robust and efficient predictive controller is proposed, based on a flexible control Lyapunov functions. The algorithm has the potential to satisfy the timing requirements for a real-time control application, due to the short horizon, while it can still offer a non-conservative solution to stabilization due to the flexibility of the Lyapunov function.