Design of fuzzy-model-based controller for time-varying input-delayed TS fuzzy systems

H. J. Lee, J. B. Park, Y. H. Joo

Research output: Contribution to conferencePaper

3 Citations (Scopus)

Abstract

This paper addresses a design method of a controller for Takagi-Sugeno (TS) fuzzy systems in the presence of a time-varying input delay. It is commonly believed that the existence of the time delay makes the closed-loop stabilization more difficult. The significance of the addressed control problem is more emphasized in the practical systems such as the virtual laboratory (VL) and the chemical processes. In this paper, a new fuzzy-model-based control methodology is proposed for controlling TS fuzzy systems with time-varying input delay. A new design technique is developed based on the Lyapunov-Razumikhin stability theorem. A sufficient condition for the asymptotic stability of the TS fuzzy systems is formulated in terms of linear matrix inequalities (LMIs). The derived condition can deal with any time-varying input delay within the admissible bound. The effectiveness of the proposed controller design technique is demonstrated by a numerical simulation.

Original languageEnglish
Pages1833-1838
Number of pages6
Publication statusPublished - 2001 Jan 1
Event2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001) - Pusan, Korea, Republic of
Duration: 2001 Jun 122001 Jun 16

Other

Other2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001)
CountryKorea, Republic of
CityPusan
Period01/6/1201/6/16

Fingerprint

Fuzzy systems
Controllers
Asymptotic stability
Linear matrix inequalities
Time delay
Stabilization
Computer simulation

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Lee, H. J., Park, J. B., & Joo, Y. H. (2001). Design of fuzzy-model-based controller for time-varying input-delayed TS fuzzy systems. 1833-1838. Paper presented at 2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001), Pusan, Korea, Republic of.
Lee, H. J. ; Park, J. B. ; Joo, Y. H. / Design of fuzzy-model-based controller for time-varying input-delayed TS fuzzy systems. Paper presented at 2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001), Pusan, Korea, Republic of.6 p.
@conference{829f678a0cdd4048a933c3fc0f913825,
title = "Design of fuzzy-model-based controller for time-varying input-delayed TS fuzzy systems",
abstract = "This paper addresses a design method of a controller for Takagi-Sugeno (TS) fuzzy systems in the presence of a time-varying input delay. It is commonly believed that the existence of the time delay makes the closed-loop stabilization more difficult. The significance of the addressed control problem is more emphasized in the practical systems such as the virtual laboratory (VL) and the chemical processes. In this paper, a new fuzzy-model-based control methodology is proposed for controlling TS fuzzy systems with time-varying input delay. A new design technique is developed based on the Lyapunov-Razumikhin stability theorem. A sufficient condition for the asymptotic stability of the TS fuzzy systems is formulated in terms of linear matrix inequalities (LMIs). The derived condition can deal with any time-varying input delay within the admissible bound. The effectiveness of the proposed controller design technique is demonstrated by a numerical simulation.",
author = "Lee, {H. J.} and Park, {J. B.} and Joo, {Y. H.}",
year = "2001",
month = "1",
day = "1",
language = "English",
pages = "1833--1838",
note = "2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001) ; Conference date: 12-06-2001 Through 16-06-2001",

}

Lee, HJ, Park, JB & Joo, YH 2001, 'Design of fuzzy-model-based controller for time-varying input-delayed TS fuzzy systems' Paper presented at 2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001), Pusan, Korea, Republic of, 01/6/12 - 01/6/16, pp. 1833-1838.

Design of fuzzy-model-based controller for time-varying input-delayed TS fuzzy systems. / Lee, H. J.; Park, J. B.; Joo, Y. H.

2001. 1833-1838 Paper presented at 2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001), Pusan, Korea, Republic of.

Research output: Contribution to conferencePaper

TY - CONF

T1 - Design of fuzzy-model-based controller for time-varying input-delayed TS fuzzy systems

AU - Lee, H. J.

AU - Park, J. B.

AU - Joo, Y. H.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - This paper addresses a design method of a controller for Takagi-Sugeno (TS) fuzzy systems in the presence of a time-varying input delay. It is commonly believed that the existence of the time delay makes the closed-loop stabilization more difficult. The significance of the addressed control problem is more emphasized in the practical systems such as the virtual laboratory (VL) and the chemical processes. In this paper, a new fuzzy-model-based control methodology is proposed for controlling TS fuzzy systems with time-varying input delay. A new design technique is developed based on the Lyapunov-Razumikhin stability theorem. A sufficient condition for the asymptotic stability of the TS fuzzy systems is formulated in terms of linear matrix inequalities (LMIs). The derived condition can deal with any time-varying input delay within the admissible bound. The effectiveness of the proposed controller design technique is demonstrated by a numerical simulation.

AB - This paper addresses a design method of a controller for Takagi-Sugeno (TS) fuzzy systems in the presence of a time-varying input delay. It is commonly believed that the existence of the time delay makes the closed-loop stabilization more difficult. The significance of the addressed control problem is more emphasized in the practical systems such as the virtual laboratory (VL) and the chemical processes. In this paper, a new fuzzy-model-based control methodology is proposed for controlling TS fuzzy systems with time-varying input delay. A new design technique is developed based on the Lyapunov-Razumikhin stability theorem. A sufficient condition for the asymptotic stability of the TS fuzzy systems is formulated in terms of linear matrix inequalities (LMIs). The derived condition can deal with any time-varying input delay within the admissible bound. The effectiveness of the proposed controller design technique is demonstrated by a numerical simulation.

UR - http://www.scopus.com/inward/record.url?scp=0034845918&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034845918&partnerID=8YFLogxK

M3 - Paper

SP - 1833

EP - 1838

ER -

Lee HJ, Park JB, Joo YH. Design of fuzzy-model-based controller for time-varying input-delayed TS fuzzy systems. 2001. Paper presented at 2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001), Pusan, Korea, Republic of.