Invariant Approximations of the Maximal Invariant Set or “Encircling the Square”
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Author / Producer
Date
2008
Publication Type
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.
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Publication status
published
Editor
Book title
Proceedings of the 17th IFAC World Congress
Journal / series
Volume
41 (2)
Pages / Article No.
6377 - 6382
Publisher
Elsevier
Event
17th IFAC World Congress (IFAC 2008)
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Set Invariance; Invariant Approximations; Maximal Invariant Set
Organisational unit
03416 - Morari, Manfred (emeritus)