Invariant Approximations of the Maximal Invariant Set or “Encircling the Square”
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Date
2008Type
- Conference Paper
ETH Bibliography
yes
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Abstract
This paper offers a method for the computation of invariant approximations of the maximal invariant set for constrained linear discrete time systems subject to bounded, additive, disturbances. The main advantage of the method is that it generates invariant sets at any step of the underlying set iteration. Conditions under which the sequence of generated invariant sets is monotonically non–decreasing and converges to the maximal invariant set are provided. Explicit formulae for the estimates of the Hausdorff distance between the underlying iterates and the maximal invariant set are derived. Show more
Publication status
publishedExternal links
Book title
Proceedings of the 17th IFAC World CongressJournal / series
IFAC Proceedings VolumesVolume
Pages / Article No.
Publisher
ElsevierEvent
Subject
Set Invariance; Invariant Approximations; Maximal Invariant SetOrganisational unit
03416 - Morari, Manfred (emeritus)
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ETH Bibliography
yes
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