Finite-time stabilization of uncertain non-autonomous chaoticgyroscopes with nonlinear inputs

摘要

Gyroscopes are one of the most interesting and everlasting nonlinear non-autonomous dynamical systems that exhibit very complex dynamical behavior such aschaos.In this paper,the problem of robust stabilization of the nonlinear non-autonomousgyroscopes in a given finite time is studied.It is assumed that the gyroscope systemis perturbed by model uncertainties,external disturbances,and unknown parameters.Besides,the effects of input nonlinearities are taken into account.Appropriate adaptivelaws are proposed to tackle the unknown parameters.Based on the adaptive laws and thefinite-time control theory,discontinuous finite-time control laws are proposed to ensurethe finite-time stability of the system.The finite-time stability and convergence of theclosed-loop system are analytically proved.Some numerical simulations are presentedto show the efficiency of the proposed finite-time control scheme and to validate thetheoretical results.