On reachable set bounding for delayed discrete-time Takagi-Sugeno fuzzy systems

Zhiguang Feng; Wei Xing Zheng

doi:10.1109/AUCC.2016.7868212

On reachable set bounding for delayed discrete-time Takagi-Sugeno fuzzy systems

Zhiguang Feng, Wei Xing Zheng

Western Sydney University

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

Abstract

The purpose of this paper to study the reachable set bounding problem for discrete-time Takagi-Sugeno (T-F) fuzzy systems with time-varying delay under zero initial conditions. The key idea is to introduce the reciprocally convex combination approach for bounding the forward difference of triple-summable terms. Combining with some novel zero equalities, sufficient conditions are proposed to ensure that all the states of the system starting from origin are bounded in an ellipsoid. Simulation results are provided to demonstrate the validity of the theoretical findings.

Original language	English
Title of host publication	Proceedings of the 6th Australian Control Conference (AUCC), November 3-4, 2016, Newcastle, Australia
Publisher	Engineers Australia
Pages	335-340
Number of pages	6
ISBN (Print)	9781922107909
DOIs	https://doi.org/10.1109/AUCC.2016.7868212
Publication status	Published - 2016
Event	Australian Control Conference - Duration: 3 Nov 2016 → …

Conference

Conference	Australian Control Conference
Period	3/11/16 → …

Keywords

feedback control systems
fuzzy systems
time delay systems

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10.1109/AUCC.2016.7868212

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title = "On reachable set bounding for delayed discrete-time Takagi-Sugeno fuzzy systems",

abstract = "The purpose of this paper to study the reachable set bounding problem for discrete-time Takagi-Sugeno (T-F) fuzzy systems with time-varying delay under zero initial conditions. The key idea is to introduce the reciprocally convex combination approach for bounding the forward difference of triple-summable terms. Combining with some novel zero equalities, sufficient conditions are proposed to ensure that all the states of the system starting from origin are bounded in an ellipsoid. Simulation results are provided to demonstrate the validity of the theoretical findings.",

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author = "Zhiguang Feng and Zheng, {Wei Xing}",

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isbn = "9781922107909",

pages = "335--340",

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AU - Feng, Zhiguang

AU - Zheng, Wei Xing

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N2 - The purpose of this paper to study the reachable set bounding problem for discrete-time Takagi-Sugeno (T-F) fuzzy systems with time-varying delay under zero initial conditions. The key idea is to introduce the reciprocally convex combination approach for bounding the forward difference of triple-summable terms. Combining with some novel zero equalities, sufficient conditions are proposed to ensure that all the states of the system starting from origin are bounded in an ellipsoid. Simulation results are provided to demonstrate the validity of the theoretical findings.

AB - The purpose of this paper to study the reachable set bounding problem for discrete-time Takagi-Sugeno (T-F) fuzzy systems with time-varying delay under zero initial conditions. The key idea is to introduce the reciprocally convex combination approach for bounding the forward difference of triple-summable terms. Combining with some novel zero equalities, sufficient conditions are proposed to ensure that all the states of the system starting from origin are bounded in an ellipsoid. Simulation results are provided to demonstrate the validity of the theoretical findings.

KW - feedback control systems

KW - fuzzy systems

KW - time delay systems

UR - http://handle.westernsydney.edu.au:8081/1959.7/uws:39988

U2 - 10.1109/AUCC.2016.7868212

DO - 10.1109/AUCC.2016.7868212

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SN - 9781922107909

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EP - 340

BT - Proceedings of the 6th Australian Control Conference (AUCC), November 3-4, 2016, Newcastle, Australia

PB - Engineers Australia

T2 - Australian Control Conference

Y2 - 3 November 2016

ER -

On reachable set bounding for delayed discrete-time Takagi-Sugeno fuzzy systems

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