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Observer-Based Finite-Time H∞ Control of Singular Markovian Jump Systems
Joint Authors
Zhang, Yingqi
Cheng, Wei
Guo, Xiulan
Mu, Xiaowu
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-04
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
This paper addresses the problem of finite-time H∞ control via observer-based state feedback for a family ofsingular Markovian jump systems (SMJSs) with time-varying norm-bounded disturbance.
Firstly, the concepts ofsingular stochastic finite-time boundedness and singular stochastic finite-time H∞ stabilization via observer-basedstate feedback are given.
Then an observer-based state feedback controller is designed to ensure singular stochasticfinite-time H∞ stabilization via observer-based state feedback of the resulting closed-loop error dynamic SMJS.
Sufficient criteria are presented for the solvability of the problem, which can be reduced to a feasibility probleminvolving linear matrix inequalities with a fixed parameter.
As an auxiliary result, we also discuss the problemof finite-time stabilization via observer-based state feedback of a class of SMJSs and give sufficient conditions ofsingular stochastic finite-time stabilization via observer-based state feedback for the class of SMJSs.
Finally, illustrativeexamples are given to demonstrate the validity of the proposed techniques.
American Psychological Association (APA)
Zhang, Yingqi& Cheng, Wei& Mu, Xiaowu& Guo, Xiulan. 2012. Observer-Based Finite-Time H∞ Control of Singular Markovian Jump Systems. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1028762
Modern Language Association (MLA)
Zhang, Yingqi…[et al.]. Observer-Based Finite-Time H∞ Control of Singular Markovian Jump Systems. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-1028762
American Medical Association (AMA)
Zhang, Yingqi& Cheng, Wei& Mu, Xiaowu& Guo, Xiulan. Observer-Based Finite-Time H∞ Control of Singular Markovian Jump Systems. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1028762
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028762