Controle preditivo para sistemas lineares discretos variantes no tempo usando funções de Lyapunov dependentes de caminho
Résumé
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.