基于变结构的混沌控制

Chaos Controlling Based on Variable Structure Control

混沌是一种对扰动非常敏感的、高度不稳定的非线性运动，它在很多情况下会降低系统性能，人们提出了许多方法来消除混沌系统中的混沌现象．变结构控制是一种很成熟的非线性控制方法，其特点是对扰动和误差具有很强的鲁棒性．将变结构控制方法应用于混沌控制，在出现混沌运动的Ｄｕｆｉｎｇ振荡器中，通过施加变结构控制，使Ｄｕｆｉｎｇ振荡器跟踪其混沌吸引子内的一条不稳定周期１或周期２轨道，从而使系统呈现规则的周期１或周期２运动．与其他混沌控制方法相比，变结构控制方法不仅鲁棒性好。

Chaos is a nonlinear motion which is highly unstable and sensitive to disturbance. It is harmful to systems in many cases. In this paper, a method of chaos controlling based on variable structure control was developed. Using the variable structure control in Duffing's oscillator, the chaotic trajectory was controlled to its inherent unstable period 1 orbit or period 2 orbit. Compared to other chaos controlling methods, the variable structure control has better qualities in robustness and transition.