Robust Reliable H∞ Control for Nonlinear Stochastic Markovian Jump Systems
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-12
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The robust reliable H∞ control problem for a class of nonlinear stochastic Markovian jump systems (NSMJSs) is investigated.
The system under consideration includes Itô-type stochastic disturbance, Markovian jumps, as well as sector-bounded nonlinearities and norm-bounded stochastic nonlinearities.
Our aim is to design a controller such that, for possible actuator failures, the closed-loop stochastic Markovian jump system is exponential mean-square stable with convergence rate α and disturbance attenuation γ.
Based on the Lyapunov stability theory and Itô differential rule, together with LMIs techniques, a sufficient condition for stochastic systems is first established in Lemma 3.
Then, using the lemma, the sufficient conditions of the solvability of the robust reliable H∞ controller for linear SMJSs and NSMJSs are given.
Finally, a numerical example is exploited to show the usefulness of the derived results.
American Psychological Association (APA)
Chen, Guici& Shen, Yi. 2012. Robust Reliable H∞ Control for Nonlinear Stochastic Markovian Jump Systems. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-1001595
Modern Language Association (MLA)
Chen, Guici& Shen, Yi. Robust Reliable H∞ Control for Nonlinear Stochastic Markovian Jump Systems. Mathematical Problems in Engineering No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-1001595
American Medical Association (AMA)
Chen, Guici& Shen, Yi. Robust Reliable H∞ Control for Nonlinear Stochastic Markovian Jump Systems. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-1001595
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001595