论文标题
MEMS谐振器中的混乱和混乱控制在Power Law噪声下
Chaos and chaos control in MEMS resonators under power law noise
论文作者
论文摘要
用静电激发的微电动机电系统（MEMS）谐振器中的电源定律噪声下的混沌动力学及其控制。根据随机的Melnikov方法在均方含义和平均最大的Lyapunov指数上，在分析和数值上获得了混乱发作的功率定律噪声强度的阈值。我们表明，随着参数空间中功率法噪声的频率指数的增加，噪声强度的阈值降低。使用数值模拟，例如相图和时间历史记录，以验证随机Melnikov方法获得的结果。受分析结果的启发，提出了一种时间延迟反馈控制算法来控制谐振器中的混乱运动。该控制器的有效性通过上述数值方法证明。
The chaotic dynamics and its control under power law noise in Micro-electromechanical Systems (MEMS) resonators with electrostatic excitation are probed. On the basis of the stochastic Melnikov method in the mean-square sense and the mean largest Lyapunov exponent, the threshold value of power law noise intensity for the onset of chaos is obtained analytically and numerically. We show that the threshold of noise intensity decreases with the increasing of the frequency exponent of power law noise in the parameter space. Numerical simulations, such as phase diagram and time history, are employed to verify the results acquired by the stochastic Melnikov method. Inspired by the analytical results, a time-delay feedback control algorithm is proposed for controlling the chaotic motion in the resonators. The effectiveness of this controller is certificated by the above numerical method.
