一类不确定分数阶混沌系统的自适应滑模控制

用自适应滑模控制方法镇定一类不确定分数阶混沌系统.首先设计一个含分数阶积分的滑模切换函数,并通过分数阶稳定理论,证明滑模动态方程的稳定性.然后利用对不确定项上界的估计,构造参数自适应的滑模控制器,在保证系统稳定的同时,消弱系统中存在的抖振.最后以分数阶Genesio系统和分数阶Chen系统为例进行仿真验证.结果表明,该控制方法对参数摄动和外部扰动有较好的鲁棒性,有效的降低了系统的抖振.

A novel adaptive sliding mode controller for a class of uncertain fractional-order chaotic systems

An adaptive sliding mode method is proposed to stabilize a class of uncertain fractional-order chaotic systems.The fractional-order integrator is designed introduced to obtain a novel sliding surface,and the sliding mode dynamic equation is demonstrated to stability by fractional stability theory.Then a suitable adaptive sliding controller is constructed by the estimation of the upper bound of uncertainties,which can guarantee system stability and weaken the chattering in the system.Finally the fractional-order chen system and fraction-order system are taken as an examples to simulate.The simulation results show that the proposed method provides the robustness to parametric perturbation and external disturbances,and minimizes the chattering problem in sliding mode control.