Stability guaranteed reduced order model predictive control based on decomposition of discrete-time linear systems

Abstract

This paper considers a stability guaranteed reduced order model predictive control for constrained discrete-time linear systems. By employing a system decomposition of discrete-time linear systems, a reduced order model predictive control law, which guarantees closed-loop stability, is derived. It is also shown that a set of initial states for which the closed-loop stability of the reduced order MPC law is guaranteed is represented by a polytope in the state-space. Numerical examples are provided to illustrate the proposed method.