Dynamic output feedback robust MPC with relaxed constraint handling for LPV system with bounded disturbance

For the constrained linear parameter varying (LPV) system with bounded disturbance, a dynamic output feedback model predictive control (MPC), with a series of scalars for relaxing the disturbance-related constraints handling, is proposed. An optimization procedure, for off-line determining the relaxation scalars, is proposed based on the norm-bounding technique. The augmented state of the closed-loop system is guaranteed to converge to the neighborhood the equilibrium point. A numerical example is given to show the effectiveness of the results.