Improved stability condition for fuzzy systems with interval time varying delay

In this paper, a new and improved stability condition is proposed for Takagi-Sugeno (T-S) fuzzy systems subject to interval time varying delay. The stability analysis is carried out by constructing a new Lyapunov-Krasovskii (L-K) functional along with the use of tighter bounding integral inequality...

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Bibliographic Details
Published in2017 Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems (IFSA-SCIS) pp. 1 - 6
Main Authors Datta, Rupak, Dey, Rajeeb, Bhattacharya, B., Chakraborti, A.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2017
Subjects
Asymptotic stability
Delays
Fuzzy systems
Integral equations
interval time varying delay
Lyapunov-Krasovskii functional
stability analysis
Stability criteria
Takagi-Sugeno fuzzy system
Time-varying systems
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Summary:In this paper, a new and improved stability condition is proposed for Takagi-Sugeno (T-S) fuzzy systems subject to interval time varying delay. The stability analysis is carried out by constructing a new Lyapunov-Krasovskii (L-K) functional along with the use of tighter bounding integral inequality to approximate the integral term coming out from the derivative of L-K functional. Two numerical examples are included to show the effectiveness of the proposed theoretical results over some existing approaches.
DOI:10.1109/IFSA-SCIS.2017.8023230