Reduced Parameterisation MPC for input-constrained unstable linear systems: part 1: implementation

This paper introduces a new variant of model predictive control called Reduced Parameterisation Model Predictive Control. The new algorithm uses the structure of the null controllable set of input constrained unstable systems to produce a closed-loop system with a region of attraction that is an arbitrarily close approximation to this set. In addition, this result is achieved with a lower complexity than that of MPC.