Abstract
This article addresses trajectory tracking between two non-identical systems with chaotic properties. To study trajectory tracking, we used the Rossler chaotic and resistive-capacitive-inductance shunted Josephson junction (RCLs-JJ) model in a similar phase space. In order to achieve goal tracking, two stages were required to approximate target tracking. The first stage utilizes the active control technique to transfer the output signal from the RCLs-JJ system into a quasi-Rossler system. Next, the RCLs-JJ system employs the proposed iterative learning control scheme in which the control signals are from the drive system to trace the trajectory of the Rossler system. The numerical results demonstrate the validity of the proposed method and the tracking system is asymptotically stable.
Highlights
Chaotic phenomena in semi-conductor devices found in the radio-frequency-base resistive-capacitive shunted Josephson Junction (RCs-JJ) were described by Kautz and Monaco [1] in the numerical study of three system parameters
The chaotic tracking trajectory that utilized the Iterative Learning Control (ILC) method based on the Josephson junction chaos can employ other methods such as a backstepping controller [7], an active control [8], a common chaos driving by Rossler [9], and Linear Matrix Inequalities (LMI) [16] and we examine the results
Reports are especially rare for Josephson Junction systems and classical chaotic systems. Another contribution is the utility of the synchronization or minimum tracking error leads to the secure communication system by applying the Josephson Junction systems into quantum chaotic systems to deliver the message in the communication system
Summary
Chaotic phenomena in semi-conductor devices found in the radio-frequency-base (rf-base) resistive-capacitive shunted Josephson Junction (RCs-JJ) were described by Kautz and Monaco [1] in the numerical study of three system parameters. This article focuses on the trajectory tracking between two non-identical systems in which one of the systems is the classical chaos system of the Rossler and the other is the RCLs-JJ model in state space representing a mesoscopic system. The chaotic tracking trajectory that utilized the ILC method based on the Josephson junction chaos can employ other methods such as a backstepping controller [7], an active control [8], a common chaos driving by Rossler [9], and LMI [16] and we examine the results. Reports are especially rare for Josephson Junction systems and classical chaotic systems Another contribution is the utility of the synchronization or minimum tracking error leads to the secure communication system by applying the Josephson Junction systems into quantum chaotic systems to deliver the message in the communication system.
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