Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.automatica.2006.04.019
Title: The minimal disturbance invariant set: Outer approximations via its partial sums
Authors: Ong, C.-J. 
Gilbert, E.G.
Keywords: Disturbance invariant sets
Linear control systems
Minkowski sum
Issue Date: Sep-2006
Citation: Ong, C.-J., Gilbert, E.G. (2006-09). The minimal disturbance invariant set: Outer approximations via its partial sums. Automatica 42 (9) : 1563-1568. ScholarBank@NUS Repository. https://doi.org/10.1016/j.automatica.2006.04.019
Abstract: This paper is concerned with outer approximations of the minimal disturbance invariant set (MDIS) of a discrete-time linear system with an additive set-bounded disturbance. The k-step disturbance reachable sets (Minkowski partial sums) are inner approximations of MDIS that converge to MDIS. Enlarged by a suitable scaling, they can lead to outer approximations of MDIS. Three families of approximations, each based on partial sums, are considered. Theoretical properties of the families are proved and interrelated. Algorithmic questions, including error bounds, are addressed. The results are illustrated by computational data from several examples. © 2006 Elsevier Ltd. All rights reserved.
Source Title: Automatica
URI: http://scholarbank.nus.edu.sg/handle/10635/61511
ISSN: 00051098
DOI: 10.1016/j.automatica.2006.04.019
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