首页>
中文期刊>现代非线性理论与应用(英文)
>A Comparative Study of Synchronization Methods of Rucklidge Chaotic Systems with Design of Active Control and Backstepping Methods
A Comparative Study of Synchronization Methods of Rucklidge Chaotic Systems with Design of Active Control and Backstepping Methods
The performance of two widely used chaos synchronization approaches, active control and backstepping control, is investigated in this study. These two methods are projected to synchronize two chaotic systems (Master/Drive of Rucklidge Systems) that are identical but have different initial conditions. The paper’s significant feature is that based on error dynamics, controllers are designed using the appropriate variable and the time synchronization between master Rucklidge and drive Rucklidge systems using both methods. The control function of the active control method is designed on the proper selection of matrices. The chaotic behavior is controlled using a recursive backstepping design based on the Lyapunov stability theory with a validated Lyapunov function. The effectiveness of the controller in eradicating the chaotic behavior from the state trajectories is also revealed using numerical simulations with Matlab. The backstepping method is superior to the active control method for synchronization of the measured pair of systems, as it takes less time to synchronize while exhausting the first one than the second one with great performance, according to numerical simulation and graphical outcomes.
展开▼
机译:两岸四地累犯制度比较研究——兼论中国内地累犯制度一体化之构想 =Comparative Study on Recidivism System in Hong Kong, Macao, Taiwan and China: Concurrently Discuss the Conception of Recidivism System Integration in Mainland China
机译:predicting Grassland Leaf area Index in the meadow steppes of Northern China: a Comparative study of Regression approaches and Hybrid Geostatistical methods