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Finite-Time Stability of a Second-Order Bang–Bang Sliding Control Type

Author

Listed:
  • Carlos Aguilar-Ibanez

    (Centro de Investigacion en Computacion, Instituto Politecnico Nacional, Ciudad de Mexico 07738, Mexico
    These authors contributed equally to this work.)

  • Ivan J. Salgado Ramos

    (Centro de Innovacion y Desarrollo Tecnologico en Computo, Instituto Politecnico Nacional, Ciudad de Mexico 07738, Mexico
    These authors contributed equally to this work.)

  • Miguel S. Suarez-Castanon

    (Escuela Superior de Computo, Instituto Politecnico Nacional, Ciudad de Mexico 07738, Mexico
    These authors contributed equally to this work.)

  • Jose de Jesus Rubio

    (Escuela Superior de Ingenieria Mecanica y Electrica Unidad Azcapotzalco, Instituto Politecnico Nacional, Ciudad de Mexico 02550, Mexico
    These authors contributed equally to this work.)

  • Jesus A. Meda-Campana

    (Sección de Estudios de Posgrado e Investigación de la Escuela Superior de Ingeniería Mecánica y Eléctrica Unidad Zacatenco, Instituto Politécnico Nacional, Ciudad de Mexico 07738, Mexico
    These authors contributed equally to this work.)

Abstract

This paper presents the double chain–integrator finite-time convergence in a closed loop with a second-order bang–bang sliding control. The direct Lyapunov method carried out the stability analysis and the reaching time estimation using a suitable non-smooth strong Lyapunov function. That is, the proposed energy function is strictly positive definite, with a strictly definite negative time derivative. Additionally, the proposed function estimates the reaching time in the presence of matching bounded perturbations. Numerical comparisons with well-known approaches were performed to assess the proposed strategy’s effectiveness.

Suggested Citation

  • Carlos Aguilar-Ibanez & Ivan J. Salgado Ramos & Miguel S. Suarez-Castanon & Jose de Jesus Rubio & Jesus A. Meda-Campana, 2022. "Finite-Time Stability of a Second-Order Bang–Bang Sliding Control Type," Mathematics, MDPI, vol. 10(21), pages 1-14, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:3937-:d:951177
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