An approximation of maximal output admissible sets for online application: A case study

This study numerically considers the approximation of a maximal output admissible set by an ellipsoid in terms of a reference value. The significance of the study is its online calculation of the maximal output admissible set, which is required in the tracking control of a constrained system under an unknown but bounded constant reference. A numerical example is used to show a procedure for approximating the admissible set and to investigate its online application in conventional constrained control techniques.