Model predictive functional control for processes with unstable poles

In this paper the coprime-factorized model predictive functional control for single-input single-output processes with an arbitrary number of unstable poles is presented. The predictive functional control algorithm gives a framework for designing the control for a wide range of processes. The main idea in the case of unstable poles is based on the prediction of the process Output based on the coprime-factorized process model. The robust stability of the proposed control algorithm is also discussed, using the small-gain theorem, which provides a sufficient condition for stability.