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Feedback flow control employing local dynamical modelling with wavelets

机译:小波局部动力学建模的反馈流控制

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In this paper, we utilize wavelet transform to obtain dynamical models describing the behaviour of fluid flow in a local spatial region of interest. First, snapshots of the flow are obtained from experiments or from computational fluid dynamics (CFD) simulations of the governing equations. A wavelet family and decomposition level is selected by assessing the reconstruction success under the resulting inverse transform. The flow is then expanded onto a set of basis vectors that arc constructed from the wavelet function. The wavelet coefficients associated with the basis vectors capture the time variation of the flow within the spatial region covered by the support of the basis vectors. A dynamical model is established for these coefficients by using subspace identification methods. The approach developed is applied to a sample flow configuration on a square domain where the input affects the system through the boundary conditions. It is observed that there is good agreement between CFD simulation results and the predictions of the dynamical model. A controller is designed based on the dynamical model and is seen to be successful in regulating the velocity of a given point within the region of interest.
机译:在本文中,我们利用小波变换获得描述感兴趣的局部空间区域中流体流动行为的动力学模型。首先,从实验或控制方程的计算流体动力学(CFD)模拟获得流动的快照。通过评估在所得逆变换下的重建成功度来选择小波族和分解级别。然后将流扩展到由小波函数构造的一组基向量上。与基向量相关的小波系数捕获了基向量支持所覆盖的空间区域内流动的时间变化。通过使用子空间识别方法,为这些系数建立了动力学模型。所开发的方法适用于平方域上的样品流配置,其中输入通过边界条件影响系统。可以看出,CFD仿真结果与动力学模型的预测之间有很好的一致性。控制器是基于动力学模型设计的,并且可以成功地调节感兴趣区域内给定点的速度。

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