A Robust MPC for Input-Output LPV Models

In this note, a discrete-time robust model predictive control (MPC) design approach is proposed to control systems described by linear parameter-varying models in input-output form subject to constraints. To ensure the stability of the closed-loop system, a quadratic terminal cost along with an ellipsoidal terminal constraint are included in the control optimization problem. The MPC design problem is formulated as a linear matrix inequality problem. The proposed MPC scheme is applied on a continuously stirred tank reactor as an illustrative example.This work was supported by National Priorities Research Program (NPRP) Grant 5-574-2-233 from the Qatar National Research Fund (a member of the Qatar Foundation). Recommended by Associate Editor M. Alamir.Scopu