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

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  • 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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    References listed on IDEAS

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    1. Sun, Jiayue & Zhang, Huaguang & Wang, Yingchun & Liang, Hongjing, 2021. "H∞ control for switched IT2 fuzzy nonlinear systems with multiple time delays applied in hybrid grid‐connected generation," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    2. Honglin Luo & Jiali Zheng & Shiping Wen, 2021. "Dissipativity-Based Fuzzy Integral Sliding Mode Control of Nonlinear Stochastic Systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-12, March.
    3. Sen Kong & Meng Wang & Huaicheng Yan & Yongxiao Tian & Zhichen Li, 2023. "Membership-function-dependent memory controller design for interval type-2 fuzzy systems under fading channels," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(2), pages 295-312, January.
    4. Kavikumar, R. & Kwon, O.M. & Sakthivel, R. & Lee, S.H. & Choi, S.G. & Priyanka, S., 2022. "Sliding mode control for IT2 fuzzy semi-Markov systems with faults and disturbances," Applied Mathematics and Computation, Elsevier, vol. 423(C).
    5. Liu, Guobao & Xu, Shengyuan & Wei, Yunliang & Qi, Zhidong & Zhang, Zhengqiang, 2018. "New insight into reachable set estimation for uncertain singular time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 769-780.
    6. Selvaraj, P. & Kwon, O.M. & Lee, S.H. & Sakthivel, R., 2022. "Disturbance rejections of interval type-2 fuzzy systems under event-triggered control scheme," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    7. Sun, Qingdong & Ren, Junchao & Zhao, Feng, 2022. "Sliding mode control of discrete-time interval type-2 fuzzy Markov jump systems with the preview target signal," Applied Mathematics and Computation, Elsevier, vol. 435(C).
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