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Author: Baozhu Du

Affiliation: School of Automation, Nanjing University of Science and Technology, 210094 and P. R. China

Keyword(s): Bounded Real Lemma, Dynamic Output Feedback, Positive Systems, Time Delay.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Image and Video Analysis ; Time-Frequency Analysis

Abstract: This paper is devoted to the H∞ control design of positive discrete-time systems with multiple delays. Novel bounded real lemma is presented first via linear matrix inequality technique, which reveals that H∞ norms of a discrete-time positive system with time delays both in dynamic and output equations are identical to that of the corresponding delay-free system. Necessary and sufficient conditions for positivity preserving H∞ stabilization via a dynamic output feedback control are established in the forms of matrix equalities, that guaranteeing the closed-loop system not only to be asymptotically stable and positive, but also to have a desired H∞ performance. The proposed results are extended to interval uncertain positive systems with time delay. Finally, an example is given to illustrate the effectiveness of the obtained design scheme.

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Paper citation in several formats:
Du, B. (2019). On Dynamic Output Feedback H∞ Control for Positive Discrete-Time Delay Systems. In Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 978-989-758-380-3; ISSN 2184-2809, SciTePress, pages 760-766. DOI: 10.5220/0007931607600766

@conference{icinco19,
author={Baozhu Du.},
title={On Dynamic Output Feedback H∞ Control for Positive Discrete-Time Delay Systems},
booktitle={Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2019},
pages={760-766},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007931607600766},
isbn={978-989-758-380-3},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - On Dynamic Output Feedback H∞ Control for Positive Discrete-Time Delay Systems
SN - 978-989-758-380-3
IS - 2184-2809
AU - Du, B.
PY - 2019
SP - 760
EP - 766
DO - 10.5220/0007931607600766
PB - SciTePress

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