随机参数振荡电路系统的混沌控制

借助于Chebyshev多项式近似,考察了随机参数服从拱形分布的一个电路系统的混沌控制。首先,用正交多项式逼近原理将一个随机振荡电路系统转化成与其等价的确定性系统,这样得到的系统是与原系统在均方残差为极小意义下的一种加权平均近似。其次,设计了带有微分项的非线性反馈控制器,根据受控系统的分岔参数图通过调节控制强度k,找到并且控制到此系统的非稳定周期轨道上。数值结果表明。所用方法是有效可行的。

Chaos Control in Oscillating Circuit with Random Parameter

Based on the Chebyshev polynomial approximation,the chaos control of the oscillating circuit with random parameter subjected to vaulted distribution is considered.Firstly,the oscillating circuit with random parameter,according to the theory of orthogonal polynomial,is transformed into the equivalent deterministic one,which is weighting mean approximation under tiny mean square residual error in comparison with the original system.Secondly,the non-linear differential feedback controllers are designed to cont...