Extended dissipative analysis of integral sliding mode control for singular interval type-2 fuzzy systems with time delay

Fangyuan Liu, Guobao Liu, Huai Liu and Shicheng Huo

Applied Mathematics and Computation, 2025, vol. 493, issue C

Abstract: This paper explores the extended dissipative analysis of integral sliding mode control in the context of singular interval type-2 (IT-2) fuzzy systems with time delays. To better align with the characteristics of type-2 fuzzy models, a suitable integral fuzzy switching surface is introduced, taking into account state-dependent input matrices. Additionally, to address conservatism resulting from time delays, the paper utilizes suitable augmented Lyapunov-Krasovskii functionals and integral inequalities based on auxiliary functions to analyze the system's extended dissipative properties. Furthermore, by leveraging membership function dependency (MFD), this article effectively addresses the premise variable mismatch issue. The paper also provides relaxed stability conditions for feedback system stability and attainability of the desired sliding surface. Finally, the inclusion of illustrative examples serves to validate the efficacy of this approach.

Keywords: IT-2 fuzzy systems; Integral sliding mode control (ISMC); Time delays; Extended dissipative (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:493:y:2025:i:c:s0096300324007124

DOI: 10.1016/j.amc.2024.129251

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