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

Carlos Aguilar-Ibanez (), Ivan J. Salgado Ramos, Miguel S. Suarez-Castanon, Jose de Jesus Rubio and Jesus A. Meda-Campana
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Carlos Aguilar-Ibanez: Centro de Investigacion en Computacion, Instituto Politecnico Nacional, Ciudad de Mexico 07738, Mexico
Ivan J. Salgado Ramos: Centro de Innovacion y Desarrollo Tecnologico en Computo, Instituto Politecnico Nacional, Ciudad de Mexico 07738, Mexico
Miguel S. Suarez-Castanon: Escuela Superior de Computo, Instituto Politecnico Nacional, Ciudad de Mexico 07738, Mexico
Jose de Jesus Rubio: Escuela Superior de Ingenieria Mecanica y Electrica Unidad Azcapotzalco, Instituto Politecnico Nacional, Ciudad de Mexico 02550, Mexico
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

Mathematics, 2022, vol. 10, issue 21, 1-14

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.

Keywords: finite-time stability; strong Lyapunov function; sliding mode control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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