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SIMULTANEOUS TIME-FREQUENCY SYNCHRONIZATION OF NON-AUTONOMOUS CHAOTIC SYSTEMS

机译:非自治混沌系统的时频同步

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摘要

A novel chaos control concept is presented for the synchronization of a non-autonomous chaotic circuit system in the time and frequency domains concurrently. The controller effectively eliminates the differences between two chaotic circuits in the time domain and at the same time restores the characteristics of the driving response in the frequency domain. The simultaneous time-frequency control is achieved through manipulating wavelet coefficients, thus not limited by the increasing bandwidth of the chaotic system - a fundamental restraint that deprives contemporary controller designs of validity and effectiveness. The feedforward feature of the control concept prevents errors from re-entering the control loop and inadvertently perturbing the sensitive chaotic system. Because neither closed-form nor linearization is required, the innate, genuine features of the chaotic response are faithfully retained. The on-line identification feature allows the response system to start at arbitrary initial conditions and to be driven by the sinusoidal forcing term of different amplitudes and phases requiring no knowledge of the system parameters.
机译:提出了一种新颖的混沌控制概念,用于同时在时域和频域同步非自治混沌电路系统。该控制器有效地消除了时域中两个混沌电路之间的差异,并同时恢复了频域中驱动响应的特性。通过操纵小波系数可以实现同时的时频控制,因此不受混沌系统带宽的增加的限制-这是使现代控制器设计失去有效性和有效性的基本限制。控制概念的前馈功能可防止错误重新进入控制回路以及无意中干扰敏感的混沌系统。由于既不需要闭合形式也不需要线性化,因此可以忠实地保留混沌响应的固有,真实的特征。在线识别功能使响应系统可以在任意初始条件下启动,并且可以由不同幅度和相位的正弦强迫项驱动,而无需了解系统参数。

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