Beitrag in einem Tagungsband
Reachability analysis of linear systems with uncertain parameters and inputs
Details zur Publikation
Autor(inn)en: | Althoff, M.; Stursberg, O.; Buss, M. |
Herausgeber: | 46th IEEE Conference on Decision and Control 2007 |
Verlagsort / Veröffentlichungsort: | New York |
Publikationsjahr: | 2007 |
Seitenbereich: | 726-732 |
Buchtitel: | 46th IEEE Conference on Decision and Control 2007 |
ISBN: | 978-1-4244-1497-0 |
DOI-Link der Erstveröffentlichung: |
Zusammenfassung, Abstract
For a dynamic system with given initial state set, the reachable state set contains the states along all possible trajectories defined over (in-)flnite time. This paper presents a method for computing conservative approximations of reachable sets for linear systems with uncertain system matrices and bounded inputs. Over- and under-approximations are computed for exponentials of system matrices with entries specified as bounded intervals. It is shown that reachable sets represented by sequences of zonotopes can be computed up to a dimension of 100 within a few seconds.
For a dynamic system with given initial state set, the reachable state set contains the states along all possible trajectories defined over (in-)flnite time. This paper presents a method for computing conservative approximations of reachable sets for linear systems with uncertain system matrices and bounded inputs. Over- and under-approximations are computed for exponentials of system matrices with entries specified as bounded intervals. It is shown that reachable sets represented by sequences of zonotopes can be computed up to a dimension of 100 within a few seconds.
