Extended ℋ∞ Estimation for Two-Dimensional Markov Jump Systems under Asynchronous Switching
Joint Authors
Zhang, Rui
Zhang, Ying
Zhao, Yan
Liao, Jingsheng
Li, Baopu
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper is concerned with the problem of designing ℋ∞ filters for a class of two-dimensional (2D) Markov jump systems under asynchronous switching.
The problem under consideration is primarily motivated by a realistic situation that the switching of candidate filters may have a lag to the switching of system modes.
Different from conventional techniques, by a suitable augmentation, the jumping process of the error system is represented by a two-component Markov chain.
Then, the extended transition probabilities are provided for the error system.
A stochastic Lyapunov function approach is proposed for the design of desired filters that ensure a prescribed ℋ∞ performance for admissible asynchronous switching.
Finally, a numerical example is given to illustrate the effectiveness of the developed method.
American Psychological Association (APA)
Zhang, Rui& Zhang, Ying& Zhao, Yan& Liao, Jingsheng& Li, Baopu. 2013. Extended ℋ∞ Estimation for Two-Dimensional Markov Jump Systems under Asynchronous Switching. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1010544
Modern Language Association (MLA)
Zhang, Rui…[et al.]. Extended ℋ∞ Estimation for Two-Dimensional Markov Jump Systems under Asynchronous Switching. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1010544
American Medical Association (AMA)
Zhang, Rui& Zhang, Ying& Zhao, Yan& Liao, Jingsheng& Li, Baopu. Extended ℋ∞ Estimation for Two-Dimensional Markov Jump Systems under Asynchronous Switching. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1010544
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010544