On less conservativeness in approximating maximal output admissible sets for online application: A case study

This study numerically investigates the reduction of the conservativeness in approximating a maximal output admissible set by an ellipsoid. The significance of the study is an accurate 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. Through a numerical example, it shows some techniques for improving the approximation accuracy, and then, as an example of the online application, the switching control results are illustrated.