CAJ | 학술논문

基于微分几何方法和二次型性能指标最优控制原理研究了同结构混沌系统之间的同步问题。对于误差动力学系统的相对阶等于系统状态空间维数的情形，依据Frobe‐nius定理确定了用于非线性坐标变换的输出函数，对误差动力学系统进行了状态反馈精确线性化而得到了线性可控的正则形，从而确定了混沌同步的控制器。以Rossler系统为例的仿真模拟，验证了该方法的有效性。
기우미분궤하방법화이차형성능지표최우공제원리연구료동결구혼돈계통지간적동보문제。대우오차동역학계통적상대계등우계통상태공간유수적정형，의거Frobe‐nius정리학정료용우비선성좌표변환적수출함수，대오차동역학계통진행료상태반궤정학선성화이득도료선성가공적정칙형，종이학정료혼돈동보적공제기。이Rossler계통위례적방진모의，험증료해방법적유효성。
The chaos synchronization between two same chaotic systems is investigated based on the differential geometry method and the optimal control theory .After nonlinear transformation accord‐ing to the Frobenius theorem by defining a proper output function of the error dynamical system for the case that the relative degree of the system is exactly equals to the order of the system ,the con‐troller can be designed by the exact feedback linearization of the error dynamical system .To demon‐strate the efficiency of the proposed scheme ,Rossler system is considered as the illustrative example .