CAJ | 학술논문

针对分数阶liu混沌系统和参数不确定的分数阶混沌系统的完全同步和参数辨识问题进行研究。首先，基于稳定性理论与反馈控制思想设计同步控制器和估计变量演化规则，在控制器中引入时变增益和估计变量，以获得较好的同步响应速度，其次引用定理对所给同步方法进行理论分析；最后举出实例进行仿真验证。仿真结果表明，该方法能够使异结构混沌系统实现完全同步并可在同步的同时辨识出响应系统的不确定参数，此外由于给出的响应系统的3个实例方程相似，仅参数取值不同，因此该同步方法还可以通过改动响应系统的部分参数，使 liu 系统在3个不同的混沌系统之间实现同步切换。
침대분수계liu혼돈계통화삼수불학정적분수계혼돈계통적완전동보화삼수변식문제진행연구。수선，기우은정성이론여반궤공제사상설계동보공제기화고계변량연화규칙，재공제기중인입시변증익화고계변량，이획득교호적동보향응속도，기차인용정리대소급동보방법진행이론분석；최후거출실례진행방진험증。방진결과표명，해방법능구사이결구혼돈계통실현완전동보병가재동보적동시변식출향응계통적불학정삼수，차외유우급출적향응계통적3개실례방정상사，부삼수취치불동，인차해동보방법환가이통과개동향응계통적부분삼수，사 liu 계통재3개불동적혼돈계통지간실현동보절환。
Parameters identification and complete synchronization between the fractional-order chaotic liu system and the factional-order chaotic system with uncertain parameters are investigated in this paper. Firstly,based on the stability theory a synchronistic controller containing a time-varied gain and an estima-ting variation is proposed,and the estimating variation is a kind of approaching continually to the true val-ue of the uncertain parameters with time evolution.Secondly,the method of synchronization is proved.Fi-nally,some examples are given for simulation and verification.The simulation results show that the pa-rameters identification and the complete synchronization are realized simultaneously by using this method. Furthermore,the equations are identical and only the parameters are different in the three examples,and the switching synchronization can be realized between liu system and three different chaotic systems by al-tering partial parameters.