H ∞ Control for a Networked Control Model of Systems with Two Additive Time-Varying Delays
Joint Authors
Shao, Hanyong
Zhang, Zhengqiang
Zhu, Xunlin
Miao, Guoying
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-19
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper is concerned with H∞ control for a networked control model of systems with two additive time-varying delays.
A new Lyapunov functional is constructed to make full use of the information of the delays, and for the derivative of the Lyapunov functional a novel technique is employed to compute a tighter upper bound, which is dependent on the two time-varying delays instead of the upper bounds of them.
Then the convex polyhedron method is proposed to check the upper bound of the derivative of the Lyapunov functional.
The resulting stability criteria have fewer matrix variables but less conservatism than some existing ones.
The stability criteria are applied to designing a state feedback controller, which guarantees that the closed-loop system is asymptotically stable with a prescribed H∞ disturbance attenuation level.
Finally examples are given to show the advantages of the stability criteria and the effectiveness of the proposed control method.
American Psychological Association (APA)
Shao, Hanyong& Zhang, Zhengqiang& Zhu, Xunlin& Miao, Guoying. 2014. H ∞ Control for a Networked Control Model of Systems with Two Additive Time-Varying Delays. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1015064
Modern Language Association (MLA)
Shao, Hanyong…[et al.]. H ∞ Control for a Networked Control Model of Systems with Two Additive Time-Varying Delays. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1015064
American Medical Association (AMA)
Shao, Hanyong& Zhang, Zhengqiang& Zhu, Xunlin& Miao, Guoying. H ∞ Control for a Networked Control Model of Systems with Two Additive Time-Varying Delays. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1015064
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015064