基于受控系统的分岔结构确定控制器参数

通过研究受控混沌系统在Poincare截面上的分岔结构特性，确定了控制器主要参数（如控制刚度、延迟反馈时间等）的取值范围，从而为有效地设计控制器实现控制目标提供了新方法．根据受控混沌系统的吸引子几何结构特征，选择适当的Poincare截面来揭示受控系统的分岔结构，并以3种经典的混沌系统为例，根据受控系统的分岔特性确定控制器参数的范围，实现了不同周期目标态的控制．数值模拟结果表明，此方法简单易行，对各种混沌控制器参数的确定非常有效，具有实用意义和参考价值．

Controller Parameters Determination Based on Bifurcation Structure of Controlled System

The bifurcation properties of controlled chaotic systems on the Poincare section was investigated numerically, and the ranges of the main parameters, such as the control gain and the feedback time delay, were determined to design a controller for the control aim. According to the geometrical structure features of the chaotic attractor, an appropriate Poincare section was selected to reveal the bifurcation character of the controlled chaotic system. Three typical chaotic systems were taken as examples where different desired periodic states were attained by determining the range of controller parameters according to the bifurcation features of the controlled system. The simulation results of the typical controlled chaotic systems show the validity of the proposed method with both theoretical and practical significance.