Relaxed Stability Condition for T-S Fuzzy Systems Using a New Fuzzy Lyapunov Function

Sangsu YEH; Sangchul WON

doi:10.1587/transfun.E96.A.1429

Relaxed Stability Condition for T-S Fuzzy Systems Using a New Fuzzy Lyapunov Function

Sangsu YEH, Sangchul WON

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This paper presents the stability analysis for continuous-time Takagi-Sugeno fuzzy systems using a fuzzy Lyapunov function. The proposed fuzzy Lyapunov function involves the time derivatives of states to include new free matrices in the LMI stability conditions. These free matrices extend the solution space for Linear Matrix Inequalities (LMIs) problems. Numerical examples illustrate the effectiveness of the proposed methods.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E96-A No.6 pp.1429-1436

Publication Date: 2013/06/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E96.A.1429

Type of Manuscript: PAPER

Category: Systems and Control

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Sangsu YEH, Sangchul WON, "Relaxed Stability Condition for T-S Fuzzy Systems Using a New Fuzzy Lyapunov Function" in IEICE TRANSACTIONS on Fundamentals, vol. E96-A, no. 6, pp. 1429-1436, June 2013, doi: 10.1587/transfun.E96.A.1429.
Abstract: This paper presents the stability analysis for continuous-time Takagi-Sugeno fuzzy systems using a fuzzy Lyapunov function. The proposed fuzzy Lyapunov function involves the time derivatives of states to include new free matrices in the LMI stability conditions. These free matrices extend the solution space for Linear Matrix Inequalities (LMIs) problems. Numerical examples illustrate the effectiveness of the proposed methods.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E96.A.1429/_p

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@ARTICLE{e96-a_6_1429,
author={Sangsu YEH, Sangchul WON, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Relaxed Stability Condition for T-S Fuzzy Systems Using a New Fuzzy Lyapunov Function},
year={2013},
volume={E96-A},
number={6},
pages={1429-1436},
abstract={This paper presents the stability analysis for continuous-time Takagi-Sugeno fuzzy systems using a fuzzy Lyapunov function. The proposed fuzzy Lyapunov function involves the time derivatives of states to include new free matrices in the LMI stability conditions. These free matrices extend the solution space for Linear Matrix Inequalities (LMIs) problems. Numerical examples illustrate the effectiveness of the proposed methods.},
keywords={},
doi={10.1587/transfun.E96.A.1429},
ISSN={1745-1337},
month={June},}

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TY - JOUR
TI - Relaxed Stability Condition for T-S Fuzzy Systems Using a New Fuzzy Lyapunov Function
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1429
EP - 1436
AU - Sangsu YEH
AU - Sangchul WON
PY - 2013
DO - 10.1587/transfun.E96.A.1429
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E96-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2013
AB - This paper presents the stability analysis for continuous-time Takagi-Sugeno fuzzy systems using a fuzzy Lyapunov function. The proposed fuzzy Lyapunov function involves the time derivatives of states to include new free matrices in the LMI stability conditions. These free matrices extend the solution space for Linear Matrix Inequalities (LMIs) problems. Numerical examples illustrate the effectiveness of the proposed methods.
ER -