CAJ | 학술논문

利用 Lyapunov 函数定理,设计滑动模态控制器,研究了两个相同 Chen 混沌系统的同步控制问题.寻找主-从 Chen混沌系统满足 Lyapunov 稳定性理论的条件,在此基础上构造出合适的滑模控制律实现混沌系统之间的完全同步.通过数值仿真结果,证实了所设计方法的有效性和鲁棒性.结合混沌掩盖技术,将该同步方法应用于保密通信中,可以达到掩盖有用传输信号的目的,在接收端无失真地复原出发送端传送的有用信号.
이용 Lyapunov 함수정리,설계활동모태공제기,연구료량개상동 Chen 혼돈계통적동보공제문제.심조주-종 Chen혼돈계통만족 Lyapunov 은정성이론적조건,재차기출상구조출합괄적활모공제률실현혼돈계통지간적완전동보.통과수치방진결과,증실료소설계방법적유효성화로봉성.결합혼돈엄개기술,장해동보방법응용우보밀통신중,가이체도엄개유용전수신호적목적,재접수단무실진지복원출발송단전송적유용신호.
@@@@Based on the Lyapunov function theorem, the synchronization of two identical Chen chaotic systems is studied by designing a sliding mode controller. This paper directly makes master-slave Chen chaotic system to satisfy stability in the Lyapu-nov sense. It utilizes a sliding mode controller to synchronize the Chen chaotic systems. Simulation results demonstrate the effec-tiveness of the proposed method. Moreover the information signal can be recovered undistorted when this method is applied to secure communication.