Robust Finite-Time H ∞ Control for Nonlinear Markovian Jump Systems with Time Delay under Partially Known Transition Probabilities
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-20
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper is concerned with the problem of robust finite-time H ∞ control for a class of nonlinear Markovian jump systems with time delay under partially known transition probabilities.
Firstly, for the nominal nonlinear Markovian jump systems, sufficient conditions are proposed to ensure finite-time boundedness, H ∞ finite-time boundedness, and finite-time H ∞ state feedback stabilization, respectively.
Then, a robust finite-time H ∞ state feedback controller is designed, which, for all admissible uncertainties, guarantees the H ∞ finite-time boundedness of the corresponding closed-loop system.
All the conditions are presented in terms of strict linear matrix inequalities.
Finally a numerical example is provided to demonstrate the effectiveness of all the results.
American Psychological Association (APA)
Yang, Dong& Zong, Guangdeng. 2014. Robust Finite-Time H ∞ Control for Nonlinear Markovian Jump Systems with Time Delay under Partially Known Transition Probabilities. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1015102
Modern Language Association (MLA)
Yang, Dong& Zong, Guangdeng. Robust Finite-Time H ∞ Control for Nonlinear Markovian Jump Systems with Time Delay under Partially Known Transition Probabilities. Abstract and Applied Analysis No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-1015102
American Medical Association (AMA)
Yang, Dong& Zong, Guangdeng. Robust Finite-Time H ∞ Control for Nonlinear Markovian Jump Systems with Time Delay under Partially Known Transition Probabilities. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1015102
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015102