【摘要】 针对一类含有未知参数和外部扰动的分数阶不确定混沌系统的混合投影同步问题,提出了一种混合投影同步的自适应滑模控制方法。基于分数阶Lyapunov稳定性理论、分数阶线性系统的稳定性理论和自适应滑模控制理论,通过设计一种对外界干扰具有强鲁棒性的分数阶积分滑模面,构造了合适的自适应滑模控制器,从而实现了两个不确定分数阶混沌系统的混合投影同步。以分数阶Chen混沌系统为例进行数值仿真,仿真结果验证了所提方法的可行性和有效性。更多还原

【Abstract】 Aiming at hybrid projective synchronization of a class of fractional-order uncertain chaotic systems with unknown parameters and external disturbance, an adaptive sliding mode control method of hybrid projective synchronization is proposed. Based on the fractional-order Lyapunov stability theory,fractional-order linear systems stability theory and adaptive sliding mode control theory, a fractional sliding mode integral surface with strong robustness is designed and a suitable adaptive sliding controller is constructed in order to achieve hybrid projective synchronization of two uncertain fractional-order chaotic systems. Numerical simulation results on synchronizing the fractional-order Chen chaotic systems showed the feasibility and effectiveness of the proposed control method.更多还原