4.7 Article

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

Journal

MATHEMATICS
Volume 10, Issue 21, Pages -

Publisher

MDPI
DOI: 10.3390/math10213937

Keywords

finite-time stability; strong Lyapunov function; sliding mode control

Categories

Funding

  1. Instituto Politecnico Nacional of Mexico [20222110, 20220031, 20221746, 20220617, 20221667]

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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. Numerical comparisons were performed to assess the proposed strategy's effectiveness.
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.

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