ℋ ∞ Model Reduction for Discrete-Time Markovian Jump Systems with Deficient Mode Information
Joint Authors
Wei, Yanling
Wang, Mao
Qiu, Jianbin
Wang, Nan
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
2013-06-27
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper investigates the problem of ℋ∞ model reduction for a class of discrete-time Markovian jump linear systems (MJLSs) with deficient mode information, which simultaneously involves the exactly known, partially unknown, and uncertain transition probabilities.
By fully utilizing the properties of the transition probability matrices, together with the convexification of uncertain domains, a new ℋ∞ performance analysis criterion for the underlying MJLSs is first derived, and then two approaches, namely, the convex linearisation approach and iterative approach, for the ℋ∞ model reduction synthesis are proposed.
Finally, a simulation example is provided to illustrate the effectiveness of the proposed design methods.
American Psychological Association (APA)
Wei, Yanling& Wang, Mao& Karimi, Hamid Reza& Wang, Nan& Qiu, Jianbin. 2013. ℋ ∞ Model Reduction for Discrete-Time Markovian Jump Systems with Deficient Mode Information. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1031964
Modern Language Association (MLA)
Wei, Yanling…[et al.]. ℋ ∞ Model Reduction for Discrete-Time Markovian Jump Systems with Deficient Mode Information. Mathematical Problems in Engineering No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1031964
American Medical Association (AMA)
Wei, Yanling& Wang, Mao& Karimi, Hamid Reza& Wang, Nan& Qiu, Jianbin. ℋ ∞ Model Reduction for Discrete-Time Markovian Jump Systems with Deficient Mode Information. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1031964
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031964