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A Discrete Integral Sliding Manifold for a Nonlinear System with Time Delay: An Event-Triggered Scheme

Author

Listed:
  • Yassine Benyazid

    (Laboratoire d’Informatique Signal et Image de la Côte d’Opale (LISIC), University Littoral Côte d’Opale, UR 4491, F-62100 Calais, France)

  • Mohamed Fnadi

    (Laboratoire d’Informatique Signal et Image de la Côte d’Opale (LISIC), University Littoral Côte d’Opale, UR 4491, F-62100 Calais, France)

  • Ahmed Said Nouri

    (Research Laboratory of Numerical Control of Industrial Processes, National Engineering School of Gabes, University of Gabes, Gabes 6072, Tunisia)

Abstract

This paper presents a new approach to integral sliding mode control for discrete nonlinear systems with time delay. The approach is based on an event-triggered scheme and is applied to Takagi–Sugeno fuzzy models. In the first step, a new integral sliding function is constructed, which avoids the limited assumptions of most existing fuzzy sliding mode control schemes. The design parameter matrices defining the sliding surface are obtained by solving linear matrix inequalities. In the second step, an event trigger-based integral sliding mode control protocol is developed to ensure the state trajectories of the Takagi–Sugeno fuzzy systems with time delays. Finally, the proposed strategies are evaluated through a simulation example to demonstrate their effectiveness.

Suggested Citation

  • Yassine Benyazid & Mohamed Fnadi & Ahmed Said Nouri, 2023. "A Discrete Integral Sliding Manifold for a Nonlinear System with Time Delay: An Event-Triggered Scheme," Mathematics, MDPI, vol. 11(10), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2326-:d:1148455
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    References listed on IDEAS

    as
    1. Bhuvaneshwari, G. & Prakash, M. & Rakkiyappan, R. & Manivannan, A., 2023. "Stability and stabilization analysis of T-S fuzzy systems with distributed time-delay using state-feedback control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 778-793.
    2. Hizia Khelifa & Ines Ellouze, 2021. "Adaptive robust state stabilisation of uncertain non linear time-varying systems with delayed perturbation," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(15), pages 3241-3253, November.
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    Cited by:

    1. Andrej Sarjaš & Dušan Gleich, 2023. "Event-Triggered Second-Order Sliding Mode Controller Design and Implementation," Mathematics, MDPI, vol. 11(20), pages 1-16, October.

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