H ∞ Fuzzy Control for Nonlinear Singular Markovian Jump Systems with Time Delay
Joint Authors
Li, Li
Zhang, Qing-ling
Zhang, Yi
Zhu, Baoyan
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-25
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper investigates the problem of H ∞ fuzzy control for a class of nonlinear singular Markovian jump systems with time delay.
This class of systems underconsideration is described by Takagi-Sugeno (T-S) fuzzy models.
Firstly, sufficientcondition of the stochastic stabilization by the method of the augmented matrixis obtained by the state feedback.
And a designed algorithm for the state feedbackcontroller is provided to guarantee that the closed-loop system not only is regular,impulse-free, and stochastically stable but also satisfies a prescribed H ∞ performance for all delays not larger than a given upper bound in terms of linear matrixinequalities.
Then H ∞ fuzzy control for this kind of systems is also discussed by the static output feedback.
Finally, numerical examples are given to illustrate thevalidity of the developed methodology.
American Psychological Association (APA)
Li, Li& Zhang, Qing-ling& Zhang, Yi& Zhu, Baoyan. 2015. H ∞ Fuzzy Control for Nonlinear Singular Markovian Jump Systems with Time Delay. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1074988
Modern Language Association (MLA)
Li, Li…[et al.]. H ∞ Fuzzy Control for Nonlinear Singular Markovian Jump Systems with Time Delay. Mathematical Problems in Engineering No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1074988
American Medical Association (AMA)
Li, Li& Zhang, Qing-ling& Zhang, Yi& Zhu, Baoyan. H ∞ Fuzzy Control for Nonlinear Singular Markovian Jump Systems with Time Delay. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1074988
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074988