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ADAPTIVE SYNCHRONIZATION CONTROL METHOD FOR FRACTIONAL-ORDER ARCH MICRO-ELECTRO-MECHANICAL SYSTEM

机译:分数阶拱微机电系统的自适应同步控制方法

摘要

An adaptive synchronization control method for a fractional-order arch micro-electro-mechanical system. The method comprises the following steps: step S1, establishing driving system and response system models of a fractional-order arch micro-electro-mechanical system based on an Euler-Bernoulli beam, and obtaining a synchronization error vector; and step S2, constructing a Chebyshev neural network having an adaptive control law according to the error vector, and constructing a virtual control input by using a fractional-order Lyapunov function; estimating an unknown nonlinear function of the system by using the Chebyshev neural network, constituting an actual control input in combination with a fractional-order adaptive law, constructing an adaptive synchronization controller in a backstepping framework, and inputting an output signal of the controller into the response system of the fractional-order arch micro-electro-mechanical system. The method implements synchronization control of the driving system and the response system ensuring the system transient-state and steady-state performance, and reduces the influence of uncertainty factors of the fractional-order arch micro-electro-mechanical system on synchronization control performance.
机译:分数阶拱微机电系统的自适应同步控制方法。该方法包括以下步骤:步骤S1,建立基于欧拉-伯努利光束的分数阶拱微机电系统的驱动系统和响应系统模型,并获得同步误差矢量。步骤S2,根据误差向量,构造具有自适应控制律的切比雪夫神经网络,并利用分数阶Lyapunov函数构造虚拟控制输入。通过使用Chebyshev神经网络估计系统的未知非线性函数,结合分数阶自适应定律构成实际控制输入,在反推框架中构建自适应同步控制器,并将控制器的输出信号输入到阶拱微机电系统的响应系统。该方法实现了驱动系统和响应系统的同步控制,保证了系统的暂态和稳态性能,减少了分数阶拱微机电系统的不确定性因素对同步控制性能的影响。

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