Conference proceedings article
Reachability analysis of linear systems with uncertain parameters and inputs
Publication Details
Authors: | Althoff, M.; Stursberg, O.; Buss, M. |
Editor: | 46th IEEE Conference on Decision and Control 2007 |
Place: | New York |
Publication year: | 2007 |
Pages range : | 726-732 |
Book title: | 46th IEEE Conference on Decision and Control 2007 |
ISBN: | 978-1-4244-1497-0 |
DOI-Link der Erstveröffentlichung: |
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.
