Robust optimization-based control: an LMI approach

Christophe Prieur, Pascale Bendotti, Laurent El Ghaoui

Abstract: An optimization-based control technique is developed for defining feasible input trajectories with respect to operating constraints. The proposed approach is based on the construction of a semidefinite programming (SDP) problem equivalent to the constrained control problem. When the system is subject to structured uncertainty, the nominal SDP problem is extended to account for uncertain parameters evolving in a certain ellipsoidal set.