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Chaos analysis and stability control of the MEMS resonator via the type-2 sequential FNN
Microsystem Technologies ( IF 2.1 ) Pub Date : 2020-06-22 , DOI: 10.1007/s00542-020-04935-1
Le Zhao , Shaohua Luo , Guanci Yang , Rongzhi Dong

In this paper, a fuzzy stability control algorithm based on the type-2 sequential fuzzy neural network (T2SFNN) is proposed to suppress the chaotic motion of the MEMS resonator. The dynamical behaviors of the MEMS resonator are revealed by the bifurcation diagram, exponent diagram, phase diagram and corresponding time history. In the process of the controller design for backstepping control, the T2SFNN is used to tackle the unknown external disturbance and eliminate the effect of time delay, along with the cosine function to ensure that the output constraint is not violated. In addition, an absorber is employed to avoid the repeated derivative associated with the backstepping. Finally, the effectiveness of the proposed scheme is verified by numerical simulation.



中文翻译:

通过2型顺序FNN对MEMS谐振器进行混沌分析和稳定性控制

为了抑制MEMS谐振器的混沌运动,提出了一种基于类型2序贯模糊神经网络(T2SFNN)的模糊稳定性控制算法。MEMS谐振器的动力学行为通过分叉图,指数图,相图和相应的时间历程来揭示。在用于反步控制的控制器设计过程中,T2SFNN用于解决未知的外部干扰并消除时间延迟的影响,并使用余弦函数来确保不违反输出约束。另外,采用吸收器以避免与反步相关的重复导数。最后,通过数值仿真验证了所提方案的有效性。

更新日期:2020-06-22
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