0
Research Papers

New Stability Criteria for Stochastic Takagi–Sugeno Fuzzy Systems With Time-Varying Delays

[+] Author and Article Information
K. Mathiyalagan, S. Marshal Anthoni

Department of Mathematics,
Anna University-Regional Centre,
Coimbatore 641 047, India

R. Sakthivel

Department of Mathematics,
Sungkyunkwan University,
Suwon 440 746, South Korea;
Department of Mathematics,
Sri Ramakrishna Institute of Technology,
Coimbatore 641 010, India
e-mail: krsakthivel@yahoo.com

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received December 15, 2011; final manuscript received November 8, 2013; published online December 16, 2013. Assoc. Editor: Sean Brennan.

J. Dyn. Sys., Meas., Control 136(2), 021013 (Dec 16, 2013) (9 pages) Paper No: DS-11-1390; doi: 10.1115/1.4026013 History: Received December 15, 2011; Revised November 08, 2013

This paper is concerned with the asymptotic stability issue for a class of stochastic Takagi–Sugeno (TS) fuzzy systems with time-varying delays. Then, by utilizing a delay-fractioning method, the stochastic analysis theory combined with the matrix inequality technique, a new set of sufficient condition in terms of linear matrix inequalities is presented which ensures the asymptotic stability of the stochastic TS fuzzy systems with time-delays. The results obtained in this paper are delay-dependent in the sense that they depend on not only the lower bound but also the upper bound of the time-varying delay. Numerical examples are given to illustrate the effectiveness and less conservativeness of the obtained results.

FIGURES IN THIS ARTICLE
<>
Copyright © 2014 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Membership functions for Example 4.1

Grahic Jump Location
Fig. 2

Trajectories of state variable x(t) of the stochastic fuzzy system for k = 1 and k = 2 with time-delay h2 = 2.26

Grahic Jump Location
Fig. 3

Trajectories of state variable x(t) of the fuzzy system without stochastic effects for k = 1 and k = 2 with time-delay h2 = 3.48

Grahic Jump Location
Fig. 4

Trajectories of state variable x(t) of the stochastic fuzzy system with time-delay h = 2.79 for k = 1 and k = 2

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In