TY - JOUR
T1 - Finite-Time Stability of a Second-Order Bang–Bang Sliding Control Type
AU - Aguilar-Ibanez, Carlos
AU - Salgado Ramos, Ivan J.
AU - Suarez-Castanon, Miguel S.
AU - Rubio, Jose de Jesus
AU - Meda-Campana, Jesus A.
N1 - Publisher Copyright:
© 2022 by the authors.
PY - 2022/11
Y1 - 2022/11
N2 - 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.
AB - 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.
KW - finite-time stability
KW - sliding mode control
KW - strong Lyapunov function
UR - http://www.scopus.com/inward/record.url?scp=85141829299&partnerID=8YFLogxK
U2 - 10.3390/math10213937
DO - 10.3390/math10213937
M3 - Artículo
AN - SCOPUS:85141829299
SN - 2227-7390
VL - 10
JO - Mathematics
JF - Mathematics
IS - 21
M1 - 3937
ER -