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引用次数: 0
摘要
本文通过加入平滑三阶非线性磁通量控制记忆晶闸管作为反馈元件,将三维 Bao 系统扩展到四维系统。证明了四维 Bao 系统是超混沌的,并展示了它的一些动力学特性。介绍了系统模拟电路的设计,电路仿真结果与数值模拟结果一致。此外,还设计了一个预定义时间滑模滤波器控制器,采用自适应项来处理系统的未知参数,从而使系统在外部干扰下保持稳定。数值模拟结果表明,与之前的预定义时间滑模控制器相比,所提出的控制器收敛更快,颤振更少。
Predefined-time sliding mode filtering control of memristor-based Bao hyper-chaotic system
This paper extends the three-dimensional Bao system to the four-dimensional one by incorporating a smooth third-order nonlinear magnetic flux-controlled memristor as the feedback element. The four-dimensional Bao system is proved to be hyperchaotic and some of its dynamical characteristics are shown. The design of the system’s analog circuit is presented, and the results of circuit simulation aligns with numerical simulation ones. In addition, a predefined-time sliding mode filter controller is designed by employing an adaptive term to address the system’s unknown parameters to keep the system stable under external interference. Numerical simulation results demonstrate that the proposed controller exhibits faster convergence and less chattering compared to previous predefined-time sliding mode controller.
期刊介绍:
The Journal of Vibration and Control is a peer-reviewed journal of analytical, computational and experimental studies of vibration phenomena and their control. The scope encompasses all linear and nonlinear vibration phenomena and covers topics such as: vibration and control of structures and machinery, signal analysis, aeroelasticity, neural networks, structural control and acoustics, noise and noise control, waves in solids and fluids and shock waves.