Application of feedforward model inverse control using MPC on a non-minimum phase system

Abstract

In this paper, we consider a diesel generator (genset) represented by an unstable and linear time-invariant (LTI) system. This discrete-time model has a non-minimum phase (NMP) zero. Knowing that this type of zeros affects the output plant behavior negatively, we study the application of the feedforward model inverse control using model predictive control (MPC) on this plant. In fact, we determine the transfer function of the genset controlled by the feedback MPC in closed loop. After that, we inverse this transfer function to compute the feedforward controller. The zero-magnitude-error tracking controller (ZMETC) is used to approximate the inversed transfer function. Finally, a performance comparison is carried out to highlight the relevance of the proposed approach.