ℋ ∞ Control for Two-Dimensional Markovian Jump Systems with State-Delays and Defective Mode Information
Joint Authors
Wei, Yanling
Wang, Mao
Qiu, Jianbin
Karimi, Hamid Reza
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-10
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper investigates the problem of ℋ∞ state-feedback control for a class of two-dimensional(2D) discrete-time Markovian jump linear time-delay systems with defective mode information.
The mathematical model of the 2D system is established based on the well-known Fornasini-Marchesini local state-space model, and the defective mode information simultaneously consistsof the exactly known, partially unknown, and uncertain transition probabilities.
By carefully analyzingthe features of the transition probability matrices, together with the convexification ofuncertain domains, a new ℋ∞ performance analysis criterion for the underlying system is firstlyderived, and then the ℋ∞ state-feedback controller synthesis is developed via a linearisation technique.
It is shown that the controller gains can be constructed by solving a set of linear matrixinequalities.
Finally, an illustrative example is provided to verify the effectiveness of the proposeddesign method.
American Psychological Association (APA)
Wei, Yanling& Wang, Mao& Karimi, Hamid Reza& Qiu, Jianbin. 2013. ℋ ∞ Control for Two-Dimensional Markovian Jump Systems with State-Delays and Defective Mode Information. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1031950
Modern Language Association (MLA)
Wei, Yanling…[et al.]. ℋ ∞ Control for Two-Dimensional Markovian Jump Systems with State-Delays and Defective Mode Information. Mathematical Problems in Engineering No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1031950
American Medical Association (AMA)
Wei, Yanling& Wang, Mao& Karimi, Hamid Reza& Qiu, Jianbin. ℋ ∞ Control for Two-Dimensional Markovian Jump Systems with State-Delays and Defective Mode Information. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1031950
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031950