不确定非自治混沌陀螺仪在非线性输入下的有限时间稳定性

陀螺仪是一个非常有趣,又是永恒的非线性非自治动力系统课题,它可以显示出非常复杂的动力学行为,如混沌现象.在一个给定的有限时间内,研究非线性非自治陀螺仪鲁棒稳定性问题.假设陀螺仪系统受到模型不确定的外部扰动而摄动,系统参数并不知道,同时考虑了非线性输入的影响.为未知参数提出了适当的自适应律.以自适应律和有限时间控制理论为基础,提出非连续有限时间控制理论,来研究系统的有限时间稳定性.解析证明了闭循环系统的有限时间稳定性及其收敛性.若干数值仿真结果表明,该文的有限时间控制法是有效的,同时验证了该文的理论结果.

Finite-Time Stabilization of Uncertain Non-Autonomous Chaotic Gyroscopes With Nonlinear Inputs

Gyroscopes were one of the most interesting and everlasting onlinear non-autonomous dynamical systems that exhibited very complex dynamical behavior such as chaos.The problem of robust stabilization of the nonlinear non-autonomous gyroscopes in a given finite time was studied.It was assumed that the gyroscope system was perturbed by model uncertainties,external disturbances and unknown parameters.Besides,the effects of input nonlinearities were taken into account.Appropriate adaptive laws were proposed to tackle the unknown parameters.Based on the adaptive laws and the finite-time control theory,discontinuous finite-time control laws were proposed to ensure the finite-time stability of the system.The finite-time stability and convergence of the closed-loop system are analytically proved.Some numerical simulations are presented to show the efficiency of the proposed finite-time control scheme and to validate the theoretical results.