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Simultaneous Drag Reduction and Kinetic Energy Density of the Plane Poiseuille Flow

机译:平面Poiseuille流的同时减阻和动能密度

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We present in this paper a closed-loop approach to control the 2D plane Poiseuille flow in an unstable state. To do that, we propose to use a vision-based approach as proposed in our paper to estimate the state of the flow1. The first step is based on the evaluation of the 2D velocity field from optical flow measurements. These measurements are next used into a visual servo control scheme. However, since we are interested in the simultaneous minimization of two quantities, that is the drag and kinetic energy density of the flow, we propose to design a control law based on an advanced visual servo control approach, the so-called partitioned visual servo control2, first proposed in the robotics community. Simulations results validate our control scheme, including the case where noisy measurements are considered. We also compare our approaches with the most relevant ones.
机译:我们在本文中提出了一种在不稳定状态下控制2D平面Poiseuille流动的闭环方法。为此,我们建议使用本文提出的基于视觉的方法来估计流量的状态1。第一步是基于对光流测量结果中2D速度场的评估。接下来,将这些测量结果用于视觉伺服控制方案。但是,由于我们对同时减小两个量(即气流的阻力和动能密度)感兴趣,因此我们建议基于高级视觉伺服控制方法(即所谓的分区视觉伺服控制)设计一种控制律。 ,最早是在机器人社区提出的。仿真结果验证了我们的控制方案,包括考虑了噪声测量的情况。我们还将比较我们的方法和最相关的方法。

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