基于无源性的通道湍流输出闭环控制
Passivity-Based Output-Feedback Control of Turbulent Channel Flow
摘要：
本文介绍了一种鲁棒线性时不变输出闭环控制策略，以减少湍流波动，因此皮肤摩擦阻力，在壁有界的湍流流体流动，但在非线性湍流制度的性能保证。新的策略是有效的，在减少可用能量的供应，以饲料的湍流波动，表示为减少二次存储功能的供应率的约束。控制流动动态的方程中存在的非线性已知是被动的，并且可以被认为是对线性化动态的反馈强迫（Lur 'e分解）。因此，只需要控制线性动态，以使系统接近被动。确定了槽道湍流的十种最能产生能量的空间模式。然后生成基于无源性的控制器来控制这些模式。控制器需要测量流向和展向壁面剪应力，它们通过壁面蒸发来驱动。非线性直接数值模拟表明，这些控制器能够显着降低湍流能量和表面摩擦阻力的流动。
英文摘要：
This paper describes a robust linear time-invariant output-feedback control strategy to reduce turbulent fluctuations, and therefore skin-friction drag, in wall-bounded turbulent fluid flows, that nonetheless gives performance guarantees in the nonlinear turbulent regime. The novel strategy is effective in reducing the supply of available energy to feed the turbulent fluctuations, expressed as reducing a bound on the supply rate to a quadratic storage function. The nonlinearity present in the equations that govern the dynamics of the flow is known to be passive and can be considered as a feedback forcing to the linearised dynamics (a Lur'e decomposition). Therefore, one is only required to control the linear dynamics in order to make the system close to passive. The ten most energy-producing spatial modes of a turbulent channel flow were identified. Passivity-based controllers were then generated to control these modes. The controllers require measurements of streamwise and spanwise wall-shear stress, and they actuate via wall transpiration. Nonlinear direct numerical simulations demonstrated that these controllers were capable of significantly reducing the turbulent energy and skin-friction drag of the flow.
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