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

Author

Listed:
  • Liu, Fangyuan
  • Liu, Guobao
  • Liu, Huai
  • Huo, Shicheng

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.

Suggested Citation

  • Liu, Fangyuan & Liu, Guobao & Liu, Huai & Huo, Shicheng, 2025. "Extended dissipative analysis of integral sliding mode control for singular interval type-2 fuzzy systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 493(C).
    • Handle: RePEc:eee:apmaco:v:493:y:2025:i:c:s0096300324007124
    DOI: 10.1016/j.amc.2024.129251
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