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Zonotopic ultimate bounds for linear systems with bounded disturbances

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conference contribution
posted on 2025-05-09, 08:28 authored by Florin Stoican, Sorin Olaru, José A. De Doná, Maria SeronMaria Seron
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.

History

Source title

Proceedings of the 18th World Congress of the International Federation of Automatic Control 2011

Name of conference

18th World Congress of the International Federation of Automatic Control, 2011 (IFAC 2011)

Location

Milano, Italy

Start date

2011-08-28

End date

2011-09-02

Pagination

9224-9229

Publisher

International Federation of Automatic Control (IFAC)

Place published

New York

Language

  • en, English

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