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

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