Stabilization control for a class of second order nonlinear system using a new fixed-time stable method
ZOU Quan
TONG Ming-hao
WEI Kai
Abstract：The fixed-time stabilization control for a class of second order nonlinear system subjected to unknown ex-ternal disturbance is studied in this paper.First,a new fixed-time stabilization method is proposed,and the calculation of the convergence time and its upper bound estimation are given in details.Theoretical analysis shows that the upper bound of the convergence time can be totally determined by the system parameters independently on initial system states.Then,based on the proposed fixed-time stabilization method,a novel sliding mode reaching law and a novel terminal sliding mode surface are designed to make the system states first reaching to the sliding mode surface from any initial conditions and then converging to the original point along with the sliding mode surface in bounded finite-time,thus,the boundedness of the convergence time of the system states from anywhere to the original point is guaranteed.Meanwhile,the system state based auto switching method is employed to avoid the singular problem that caused by the terminal sliding mode surface.Finally,simulations are carried out to verify the effectiveness of the proposed method.
Keywords：nonlinear systemunknown external disturbancefixed-time stablestabilization control
Publication Date：2023-11-28
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 1981-1989 )