Invariant set computation for constrained uncertain discrete-time linear systems

Nikolaos Athanasopoulos; George Bitsoris

doi:10.1109/CDC.2010.5717500

Invariant set computation for constrained uncertain discrete-time linear systems

Nikolaos Athanasopoulos, George Bitsoris

School of Electronics, Electrical Engineering and Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

17 Citations (Scopus)

Abstract

In this article a novel approach to the determination of polytopic invariant sets for constrained discrete-time linear uncertain systems is presented. First, the problem of stabilizing a prespecified initial condition set in the presence of input and state constraints is addressed. Second, the problem of computing an estimate of the maximal positively invariant or controlled invariant set for this class of systems is investigated. An illustrative example, showing the effectiveness of the proposed methods, is presented.

Original language	English
Title of host publication	Proceedings of the 49th IEEE Conference on Decision and Control
Publisher	Institute of Electrical and Electronics Engineers Inc.
DOIs	https://doi.org/10.1109/CDC.2010.5717500
Publication status	Published - 2010

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10.1109/CDC.2010.5717500

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title = "Invariant set computation for constrained uncertain discrete-time linear systems",

abstract = "In this article a novel approach to the determination of polytopic invariant sets for constrained discrete-time linear uncertain systems is presented. First, the problem of stabilizing a prespecified initial condition set in the presence of input and state constraints is addressed. Second, the problem of computing an estimate of the maximal positively invariant or controlled invariant set for this class of systems is investigated. An illustrative example, showing the effectiveness of the proposed methods, is presented.",

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AB - In this article a novel approach to the determination of polytopic invariant sets for constrained discrete-time linear uncertain systems is presented. First, the problem of stabilizing a prespecified initial condition set in the presence of input and state constraints is addressed. Second, the problem of computing an estimate of the maximal positively invariant or controlled invariant set for this class of systems is investigated. An illustrative example, showing the effectiveness of the proposed methods, is presented.

U2 - 10.1109/CDC.2010.5717500

DO - 10.1109/CDC.2010.5717500

M3 - Conference contribution

BT - Proceedings of the 49th IEEE Conference on Decision and Control

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

Invariant set computation for constrained uncertain discrete-time linear systems

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