0
research-article

Robust state feedback H¥ control for discrete-time fuzzy system with random delays

[+] Author and Article Information
Sakthivel Rathinasamy

Department of Mathematics Sungkyunkwan University Suwon 440-746, South Korea
krsakthivel@yahoo.com

Arunkumar A.

Department of Mathematics Anna University Regional Campus Coimbatore - 641 046, India
arunkumarapmau@gmail.com

Mathiyalagan Kalidass

Department of Mathematics Anna University Regional Campus Coimbatore - 641 046, India
kmathimath@gmail.com

Ju H. Park

Department of Electrical Engineering Yeungnam University Kyongsan 712-749, Republic of Korea
jessie@ynu.ac.kr

1Corresponding author.

ASME doi:10.1115/1.4036237 History: Received October 28, 2013; Revised March 10, 2017

Abstract

This paper investigates the problem of robust stabilization for a class of discrete-time TS fuzzy systems via input random delays in control input. The main objective of this paper is to design a state feedback H¥ controller. Linear matrix inequality approach together with the construction of proper Lyapunov-Krasovskii functional is employed for obtaining delay dependent sufficient conditions for the existence of robust H¥ controller. In particular, the effect of both variation range and distribution probability of the time delay are taken into account in the control input. The key feature of the proposed results in this paper is that the time-varying delay in the control input not only dependent on the bound but also the distribution probability of the time delay. The obtained results are formulated in terms of linear matrix inequalities (LMIs) which can be easily solved by using the standard optimization algorithms. Finally, a numerical example with simulation result is provided to illustrate the effectiveness of the obtained control law and less conservativeness of the proposed result.

Copyright (c) 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

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