基于backstepping方法的混沌系统自适应模糊控制

Adaptive fuzzy control for a chaotic system based on the backstepping approach

针对一类含未知非线性参量或外界干扰的混沌系统 ,基于backstepping提出一种新的自适应模糊控制方法 ,模糊逼近器参量可自动实时调整 ,任意给定初始参量 ,根据所给控制律表达式迭代得到控制器 ,能够成功地把混沌系统控制到预先给定的目标轨道 .

A novel adaptive fuzzy control method is proposed via backstepping approach for a class of chaotic systems with unknown nonlinear terms or external disturbances. The fuzzy approximator whose parameters can be self - tuned in real - time mode is applied to estimate the unknown terms in the system model. Given initial parameters, the controller can be derived iteratively according to the control law and update laws to make the system asymptotically trace any desired orbit. The illustrative examples demonstrate the effectiveness of the proposed method.