引导混沌轨道的最优反馈控制

Optimal Feedback Chaos Targeting

为改善最优引导控制的抗噪声能力,提出一种可用来引导混沌轨道的最优反馈控制模型,该模型考虑了引导控制速度、精度等综合指标.从非线性系统全局反馈控制的角度来看,这种方法提供了一种用最优控制方法来选择反馈控制有关参数的新思路.文中使用十进制编码的遗传算法进行最优控制问题的求解.大量以Hénon映射为引导对象的数值实验表明,最优反馈引导控制在抗噪声能力。

A close loop optimal targeting method was proposed to improve the targeting performance under noise. Both precision and speed were considered in the present optimal targeting model. The introduced method can be a novel way to design feedback parameters for the global feedback controllers in nonlinear systems. Real coded genetic algorithm was applied to solve the numerical optimization problem. Numerical experiment on the Hénon map was carried out to compare the targeting performance under noise between the two methods.