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首页> 外文期刊>IEEE Transactions on Automatic Control >Stability enhancement by boundary control in 2-D channel flow
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Stability enhancement by boundary control in 2-D channel flow

机译：通过二维通道流中的边界控制来增强稳定性

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In this paper, we stabilize the parabolic equilibrium profile in a two-dimensional (2-D) channel flow using actuators and sensors only at the wall. The control of channel flow was previously considered by Speyer and coworkers, and Bewley and coworkers, who derived feedback laws based on linear optimal control, and implemented by wall-normal actuation. With an objective to achieve global Lyapunov stabilization, we arrive at a feedback law using tangential actuation (using teamed pairs of synthetic jets or rotating disks) and only local measurements of wall shear stress, allowing to embed the feedback in microelectromechanical systems (MEMS) hardware, without need for wiring. This feedback is shown to guarantee global stability in at least H2 norm, which by Sobolev's embedding theorem implies continuity in space and time of both the flow field and the control (as well as their convergence to the desired steady state). The theoretical results are limited to low values of Reynolds number, however, we present simulations that demonstrate the effectiveness of the proposed feedback for values five order of magnitude higher
机译：在本文中，我们仅使用壁上的执行器和传感器来稳定二维（2-D）通道中的抛物线平衡轮廓。 Speyer和他的同事以及Bewley和他的同事以前曾考虑过对通道流量的控制，他们基于线性最优控制得出反馈定律，并通过壁法向驱动来实现。为了实现全球Lyapunov稳定，我们使用切向驱动（使用成对的合成射流或旋转盘对）和仅局部测量壁切应力来得出反馈定律，从而将反馈嵌入微机电系统（MEMS）硬件中，无需接线。该反馈显示出至少在H2范数下可以保证全局稳定性，通过Sobolev的嵌入定理，它暗示了流场和控件在空间和时间上的连续性（以及它们收敛到所需的稳态）。理论结果仅限于雷诺数的低值，但是，我们提供的仿真证明了所提出的反馈对于高出五个数量级的值的有效性

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