Flow Control in a Driven Cavity Incorporating Excitation Phase Differential
Flow Control in a Driven Cavity Incorporating Excitation Phase Differential
复制标题
结合激励相位差的驱动腔中的流量控制
DOI：
10.2514/1.4664
复制
发表时间：
2003
影响因子：
2.6
通讯作者：
D. Mikolaitis
中科院分区：
文献类型：
--
作者：
K. Fitzpatrick;Yunfei Feng;R. Lind;A. Kurdila;D. Mikolaitis
由于Navier-Stokes方程固有的非线性和这些方程典型近似的高维性，流体流动的控制特别困难。针对驱动腔内的蠕动流动进行了控制设计。这样的限制允许线性降阶模型被生成为状态空间系统。特别是，这些模型被生成为子空间的流，其中每个模型表示与外源干扰之间的相位差相关联的模式。一个线性变参数控制器的设计，以帐户的动态范围内引入的相位微分之间的子空间。该控制器被引入到降阶模型，其中包含单独的相位微分子空间，和全阶模型，其中包含所有的相位微分子空间，用于干扰衰减。这些闭环仿真表明，增益调度控制器，设计为各个子空间，是能够降低沿沿着腔的中心线的流速显着的全阶流。
Control of fluid flow is particularly difficult because of inherent nonlinearity in the Navier‐Stokes equations and high dimensionality of typical approximations of these equations. A control design is demonstrated for flow restricted to creeping flow within a driven cavity. Such a restriction allows linear reduced-order models to be generated as state-space systems. In particular, these models are generated as subspaces of the flow where each model represents modes associated with phase differential between exogenous disturbances. A linear parametervarying controller is designed to account for the range of dynamics introduced by the phase differential among subspaces. The controller is introduced to the reduced-order models, which contain individual phase-differential subspaces, and the full-order model, which contains all phase-differential subspaces, for disturbance attenuation. These closed-loop simulations show that the gain-scheduled controller, designed for individual subspaces, is able to reduce the flow velocity along the centerline of the cavity significantly for the full-order flow.