Output feedback control for constrained robust model predictive control

This paper is concerned with the problem of static output feedback control for the constrained robust model predictive control for uncertainty systems with polytopic description. The existence of a static output feedback control law is given in terms of linear matrix inequalities and the proposed approach is applicable for two different Lyapunov functions. To relax the conservatism of the proposed control law, we present a synthesis approach for controller design. Numerical example illustrates the merits of the proposed design method.