This paper deals with robust invariant sets construction for discrete-time linear time-invariant dynamics. The case of a zonotopic disturbance set is analysed in detail by exploiting the properties of these geometrical structures. A constructive method is provided for diminishing the conservatism of ultimate bound invariant sets. It is shown that the resulting zonotopic set is related to the minimal robust positively invariant set in the sense that their boundaries have common points.
18th World Congress of the International Federation of Automatic Control, 2011 (IFAC 2011). Proceedings of the 18th World Congress of the International Federation of Automatic Control 2011 (Milano, Italy 28 August - 2 September, 2011) p. 9224-9229