一类含参数不确定性混沌系统的自适应控制

基于Lyaponov函数,对一类含参数不确定性混沌系统,当系统的不确定性参数具有未知界时,给出了自适应控制器的设计方法和构造控制器的解析式.构造混沌控制器直接代入控制器的参数化公式即可.方法简单,无需拼凑,能够使系统消除混沌并渐近稳定到任何期望的光滑轨道上.而整个设计过程无需预先知道未知参数的估计值和精确值.仿真验证了其有效性 关键词： 混沌系统 自适应混沌控制 Lyaponov函数 参数不确定性

ADAPTIVE CONTROL FOR A CLASS OF CHAOTIC SYSTEMS WITH UNCERTAIN PARAMETERS

A novel adaptive control method is proposed for a class of chaotic systems with uncertain parameters,based on Lyaponov function.Using the presented method,a controller is developed,which can remove chaos in nonlinear systems and make the system asymptotically stabilizing to any desired smooth orbit.The controller is directly constructed by analytic formula without knowing unknown bounds about uncertain parameters in advance.Computer simulation example is given to validate the proposed approach.