ON MAXIMAL ROBUSTLY POSITIVELY INVARIANT SETS

Hoai Nam Nguyen; Sorin Olaru; Florin Stoican

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Paper

ON MAXIMAL ROBUSTLY POSITIVELY INVARIANT SETS

Topics: Control and Supervision Systems; Information-Based Models for Control; Real-Time Systems Control

In Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, 300-305, 2011 , Noordwijkerhout, Netherlands

Authors: Hoai Nam Nguyen ; Sorin Olaru and Florin Stoican

Affiliation: SUPELEC Systems Sciences (E3S), France

Keyword(s): Invariant set, Maximal robustly positively invariant set, Constrained control, Discrete linear system.

Related Ontology Subjects/Areas/Topics: Control and Supervision Systems ; Informatics in Control, Automation and Robotics ; Information-Based Models for Control ; Real-Time Systems Control ; Robotics and Automation ; Signal Processing, Sensors, Systems Modeling and Control

Abstract: This paper addresses the problem of computing maximal robustly positively invariant sets for discrete-time linear time-invariant systems with disturbance inputs. It is assumed that the disturbance is unknown, additive, but bounded. The main contribution is the determination of bound of the number of steps in the iterative construction of the maximal invariant sets.

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Paper citation in several formats:

Nam Nguyen, H.; Olaru, S. and Stoican, F. (2011). ON MAXIMAL ROBUSTLY POSITIVELY INVARIANT SETS. In Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO; ISBN 978-989-8425-74-4; ISSN 2184-2809, SciTePress, pages 300-305. DOI: 10.5220/0003535203000305

@conference{icinco11,
author={Hoai {Nam Nguyen}. and Sorin Olaru. and Florin Stoican.},
title={ON MAXIMAL ROBUSTLY POSITIVELY INVARIANT SETS},
booktitle={Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO},
year={2011},
pages={300-305},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003535203000305},
isbn={978-989-8425-74-4},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO
TI - ON MAXIMAL ROBUSTLY POSITIVELY INVARIANT SETS
SN - 978-989-8425-74-4
IS - 2184-2809
AU - Nam Nguyen, H.
AU - Olaru, S.
AU - Stoican, F.
PY - 2011
SP - 300
EP - 305
DO - 10.5220/0003535203000305
PB - SciTePress