H∞ control of nonperiodic two-dimensional channel flow
H∞ control of nonperiodic two-dimensional channel flow
复制标题
非周期二维通道流的H∞控制
DOI：
10.1109/tcst.2003.821951
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
E. Rogers
中科院分区：
文献类型：
--
作者：
L. Baramov;O. Tutty;E. Rogers
本文研究两无限平行平面间二维流动的有限维边界控制问题。沿着底壁的几个规则间隔的部分的表面蒸发沿着用于控制流动。从几个离散的，适当放置的剪切应力传感器的测量提供了反馈。与其他研究在这一领域中，流动不被假定为周期性的，空间增长的流量被认为是。使用空间离散化的流向方向，频率响应的相关部分的通道获得。低阶模型拟合这些数据和建模的不确定性估计。设计了一个H ∞控制器，以保证模型集的稳定性，并降低通道壁面处的壁面剪应力。一个非线性Navier-Stokes PDE求解器被用来测试回路中的设计。在这些模拟中所做的唯一假设是流动是二维的。结果表明，虽然在设计控制器时将问题线性化，但在实际应用中，该控制器可以显著减小基波二维扰动。
This paper deals with finite-dimensional boundary control of the two-dimensional (2-D) flow between two infinite parallel planes. Surface transpiration along a few regularly spaced sections of the bottom wall is used to control the flow. Measurements from several discrete, suitably placed shear-stress sensors provide the feedback. Unlike other studies in this area, the flow is not assumed to be periodic, and spatially growing flows are considered. Using spatial discretization in the streamwise direction, frequency responses for a relevant part of the channel are obtained. A low-order model is fitted to these data and the modeling uncertainty is estimated. An H-infinity controller is designed to guarantee stability for the model set and to reduce the wall-shear stress at the channel wall. A nonlinear Navier-Stokes PDE solver was used to test the designs in the loop. The only assumption made in these simulations is that the flow is two dimensional. The results showed that, although the problem was linearized when designing the controller, the controller could significantly reduce fundamental 2-D disturbances in practice.