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H∞ Control for Linear Positive Discrete-Time Systems
Joint Authors
Zhang, Qingling
Tanaka, Tamaki
Zhang, Youmei
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-11
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper is concerned with H∞ control for linear positive discrete-time systems.
Positive systems are characterized by nonnegative restriction on systems’ variables.
This restriction results in some remarkable results which are available only for linear positive systems.
One of them is the celebrated diagonal positive definite matrix solutions to some existed well-known results for linear systems without nonnegative restriction.
We provide an alternative proof for criterion of H∞ norm by using separating hyperplane theorem and Perron-Frobenius theorem for nonnegative matrices.
We also consider H∞ control problem for linear positive discrete-time systems via state feedback.
Necessary and sufficient conditions for such problem are presented under controller gain with and without nonnegative restriction, and then the desired controller gains can be obtained from the feasible solutions.
American Psychological Association (APA)
Zhang, Youmei& Zhang, Qingling& Tanaka, Tamaki. 2013. H∞ Control for Linear Positive Discrete-Time Systems. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-482108
Modern Language Association (MLA)
Zhang, Youmei…[et al.]. H∞ Control for Linear Positive Discrete-Time Systems. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-482108
American Medical Association (AMA)
Zhang, Youmei& Zhang, Qingling& Tanaka, Tamaki. H∞ Control for Linear Positive Discrete-Time Systems. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-482108
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482108