On Stochastic Finite-Time Control of Discrete-Time Fuzzy Systems with Packet Dropout
Joint Authors
Zhang, Yingqi
Mu, Xiaowu
Liu, Caixia
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-01
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This paper is concerned with the stochastic finite-time stability and stochastic finite-time boundedness problems for one family of fuzzy discrete-time systems over networks with packet dropout, parametric uncertainties, and time-varying norm-bounded disturbance.
Firstly, we present the dynamic model description studied, in which the discrete-time fuzzy T-S systems with packet loss can be described by one class of fuzzy Markovian jump systems.
Then, the concepts of stochastic finite-time stability and stochastic finite-time boundedness and problem formulation are given.
Based on Lyapunov function approach, sufficient conditions on stochastic finite-time stability and stochastic finite-time boundedness are established for the resulting closed-loop fuzzy discrete-time system with Markovian jumps, and state-feedback controllers are designed to ensure stochastic finite-time stability and stochastic finite-time boundedness of the class of fuzzy systems.
The stochastic finite-time stability and stochastic finite-time boundedness criteria can be tackled in the form of linear matrix inequalities with a fixed parameter.
As an auxiliary result, we also give sufficient conditions on the stochastic stability of the class of fuzzy T-S systems with packet loss.
Finally, two illustrative examples are presented to show the validity of the developed methodology.
American Psychological Association (APA)
Zhang, Yingqi& Liu, Caixia& Mu, Xiaowu. 2012. On Stochastic Finite-Time Control of Discrete-Time Fuzzy Systems with Packet Dropout. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-496005
Modern Language Association (MLA)
Zhang, Yingqi…[et al.]. On Stochastic Finite-Time Control of Discrete-Time Fuzzy Systems with Packet Dropout. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-496005
American Medical Association (AMA)
Zhang, Yingqi& Liu, Caixia& Mu, Xiaowu. On Stochastic Finite-Time Control of Discrete-Time Fuzzy Systems with Packet Dropout. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-496005
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496005