Model predictive control for linear parameter varying systems using path-dependent Lyapunov functions*

This paper is concerned with the design of Model Predictive Control (MPC) for Linear Parameter Varying (LPV) discrete-time systems. Sufficient linear matrix inequality (LMI) conditions are provided for the existence of a path-dependent Lyapunov function which generalizes previous results based on affine parameter-dependent Lyapunov functions. At each sampling time the control law is obtained from a convex optimization problem under LMI constraints. As illustrated by examples, the proposed approach yields less conservative results than other available methods for MPC.