CAJ | 학술논문

针对一类参数随时间变化的不确定混沌系统,用鲁棒自适应方法实现异结构混沌系统的广义投影同步和参数辨识.基于李亚普诺夫稳定性理论,设计了鲁棒自适应控制器和参数自适应律.通过改变广义投影同步的比例矩阵,获得所有状态变量任意比例于原驱动系统的混沌信号,并辨识出系统所有未知参数.以Rssler超混沌系统和Lü超混沌系统为例,数值仿真验证了所设计方法的有效性和可行性.
침대일류삼수수시간변화적불학정혼돈계통,용로봉자괄응방법실현이결구혼돈계통적엄의투영동보화삼수변식.기우리아보낙부은정성이론,설계료로봉자괄응공제기화삼수자괄응률.통과개변엄의투영동보적비례구진,획득소유상태변량임의비례우원구동계통적혼돈신호,병변식출계통소유미지삼수.이Rssler초혼돈계통화Lü초혼돈계통위례,수치방진험증료소설계방법적유효성화가행성.
Robust adaptive control is proposed for the generalized projective synchronization (GPS) and parameters identification between two different uncertain chaotic systems with bounded time-varying unknown parameters. Based on Lyapunov stability theory, a robust adaptive control law and a parameter identification scheme are presented. The proposed scheme can successfully synchronize the full states of the two chaotic systems in the generalized projection sense by changing the scale matrix and identify the unknown parameters despite the noise of the parameters. Rssler hyperchaotic system and Lü hyperchaotic system are used to prove the prensted method for GPS between two different uncertain hyperchaotic systems. Numerical simulations are presented to show the effectiveness and feasibility of the proposed method.