https://doi.org/10.1140/epjp/s13360-025-06165-8
Regular Article
Membership-dependent and line integral Lyapunov functionals for event-triggered T–S fuzzy observer design
1
Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Tamil Nadu, India
2
Department of Electrical and Computer Engineering, Florida State University, Tallahassee, FL, USA
Received:
22
November
2024
Accepted:
20
February
2025
Published online:
12
April
2025
This paper addresses the problem of asymptotic stability analysis of the Takagi–Sugeno (T–S) fuzzy system with an event-triggered observer-based control design. To analyze the stability of the constructed delayed observer-based T–S fuzzy error system, two different Lyapunov-Krasovskii functionals (LKFs) techniques are employed namely membership-dependent LKF and fuzzy line integral LKF. Based on these LKFs, two different sets of sufficient conditions ensuring the asymptotic stability of the T–S fuzzy system are obtained in the context of linear matrix inequalities. Further, the numerical examples are provided to validate the effectiveness and advantages of the proposed method. Additionally, the efficiency of the considered LKFs is examined.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
