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Predefined-time integral sliding mode control of second-order systems

Author

Listed:
  • Juan Diego Sánchez-Torres
  • Aldo Jonathan Muñoz-Vázquez
  • Michael Defoort
  • Rodrigo Aldana-López
  • David Gómez-Gutiérrez

Abstract

This manuscript introduces the design of a controller that ensures predefined-time convergence for a class of second-order systems. In contrast to finite- and fixed-time controllers, predefined-time schemes allow to prescribe a bound for the convergence time as a control parameter. First, a predefined-time integral sliding mode controller allows rejecting unknown but bounded matched disturbances. Then, the system dynamics evolve free of the effect of disturbances during the integral sliding motion. Finally, an ideal controller enforces convergence also in predefined-time. A Lyapunov-like characterisation for predefined-time stability is conducted, and numerical results are provided to illustrate the validity of the proposed technique.

Suggested Citation

  • Juan Diego Sánchez-Torres & Aldo Jonathan Muñoz-Vázquez & Michael Defoort & Rodrigo Aldana-López & David Gómez-Gutiérrez, 2020. "Predefined-time integral sliding mode control of second-order systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(16), pages 3425-3435, December.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3425-3435
    DOI: 10.1080/00207721.2020.1815893
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    Cited by:

    1. Kamal Elyaalaoui & Moussa Labbadi & Sahbi Boubaker & Souad Kamel & Faisal S. Alsubaei, 2023. "On Novel Fractional-Order Trajectory Tracking Control of Quadrotors: A Predefined-Time Guarantee Performance Approach," Mathematics, MDPI, vol. 11(16), pages 1-18, August.
    2. Pu, Hao & Li, Fengjun, 2023. "Fixed/predefined-time synchronization of complex-valued discontinuous delayed neural networks via non-chattering and saturation control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 610(C).

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