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Invariant Approximations of the Maximal Invariant Set: ``Encircling the Square'' Approach

Author(s):

Sasa V. Rakovic, M. Fiacchini
Conference/Journal:

vol. AUT07-08
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, state disturbances. The main computational advantage of the introduced method is that, under mild and standard assumptions, it generates the iterates that are invariant sets at any step of the underlying set iteration. Conditions under which the sequence of invariant sets, generated by the introduced procedure, 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. A few simple examples illustrate potential benefits of the proposed method.

Further Information
Year:

2007
Type of Publication:

(04)Technical Report
Supervisor:



No Files for download available.
% Autogenerated BibTeX entry
@TechReport { RakFia:2007:IFA_2966,
    author={Sasa V. Rakovic and M. Fiacchini},
    title={{Invariant Approximations of the Maximal Invariant Set:
	  ``Encircling the Square'' Approach}},
    institution={},
    year={2007},
    number={},
    address={},
    month=sep,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=2966}
}
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