用离散混沌系统状态变量的前向演化偏差设计了一个新控制器,对混沌吸引子中不稳定低周期轨道进行闭环稳定化控制.用非线性系统稳定性理论,证明了受控系统在原系统不稳定不动点处的稳定性系数的绝对值小于1.通过对一类新离散混沌系统的数值仿真,证实了本文提出的闭环前馈控制方法的有效性与鲁棒性.
A new controller is designed based on the forward-evolution deviation of the state variables in discrete chaotic systems. The aim is to stabilize the unstable lower-period orbits embedded in chaotic attractors in a closed-loop way. On the basis of the stability theorems of nonlinear systems, it is proved that the absolute value of stability coefficient at the unstable fixed point of the original system is less than 1 under the new controller. Numerical simulations on a new discrete chaotic system are depicted to verify the effectiveness and robustness of the closed-loop feedforward control procedure proposed in this paper.