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控制理论与应用 2019
空间分形Julia集的辨识控制
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Abstract:
由于空间分形Julia集合的参数辨识问题在典型的Langevin问题中尚未解决, 本文提出一种新的方法设计了 普遍适用的自适应同步控制器和参数自适应律的解析表达式, 解决了在驱动系统参数未知的情况下无法实现同步 控制的问题, 并且在实现渐近同步的过程中能够辨识出驱动系统的未知参数, 通过仿真示例验证了该方法有效. 另 外, 该方法也适用于最基本的Julia集
Since the parameter identification problem of spatial Julia sets in typical Langevin questions is still unclear, in this work, the analytical expression of the parameter adaptive law is proposed in order to design the widely used adaptive synchronous controller. Then the synchronous control can be achieved in spite of unknown target parameters that can be identified in the asymptotic synchronization process. Based on the application of this method on a few examples, this strategy has proven to be effective when it is applied to the most basic Julia sets