CAJ | 학술논문

基于Lyapunov稳定性理论,以不确定单模激光Lorenz系统作为驱动系统,不确定Chen系统作为响应系统,利用自适应控制方法,设计了非线性反馈控制器及参数识别器,使响应系统的所有状态变量严格地按函数比例跟踪驱动系统的混沌轨迹,并辨识出包括非线性项在内的驱动系统和响应系统的所有不确定参数.利用四阶龙格-库塔仿真模拟,结果表明了该方法的有效性,设计的函数投影同步控制的方法能更有效地提高保密通信的性能.
기우Lyapunov은정성이론,이불학정단모격광Lorenz계통작위구동계통,불학정Chen계통작위향응계통,이용자괄응공제방법,설계료비선성반궤공제기급삼수식별기,사향응계통적소유상태변량엄격지안함수비례근종구동계통적혼돈궤적,병변식출포괄비선성항재내적구동계통화향응계통적소유불학정삼수.이용사계룡격-고탑방진모의,결과표명료해방법적유효성,설계적함수투영동보공제적방법능경유효지제고보밀통신적성능.
Based on the Lyapunov stability theory,the nonlinear feedback controller and parameter recognizer were designed with the adaptive control method.The uncertain single-mode laser Lorenz system is taken as the drive system and the uncertain Chen system as the response system in the design,which makes all the status variable of the response system to follow the chaotic path of the drive system strictly in function proportion,and recognizes all the uncertain parameters including unknown coefficients of nonlinear terms of the drive and response systems.The result obtained by the four-order Runge-Kutta simulation indicates the effectiveness and feasibility of the method,and proves that the function projection synchronization control can improve the performance of the secure communication.