Backstepping boundary control of Navier-Stokes channel flow: a 3D extension
Backstepping boundary control of Navier-Stokes channel flow: a 3D extension
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纳维-斯托克斯通道流的反步边界控制：3D 扩展
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
M. Krstić
中科院分区：
文献类型：
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作者：
Jennie Cochran;R. Vázquez;M. Krstić
我们提出了一个扩展从2D到3D的边界控制律，稳定的无限通道流的抛物线型。在这种三维情况下，我们在展向方向包括一个附加控制器，它与流向和壁面法向速度控制器类似，只沿沿着一个边界驱动。控制器作用在壁法线方向上，将系统转换成严格的反馈形式。流向和展向控制器将法向涡量与法向速度解耦，然后稳定法向速度。这一结果保证了线性化Navier-Stokes方程在L2意义下的指数稳定性
We present an extension from 2D to 3D of a boundary control law which stabilizes the parabolic profile of an infinite channel flow. In this 3D case, we include an additional controller in the spanwise direction which, similar to the streamwise and wall normal velocity controllers, actuates solely along one boundary. The controller that acts in the wall normal direction transforms the system into a strict feedback form. The streamwise and spanwise controllers decouple the normal vorticity from the normal velocity and then stabilize the normal velocity. This result guarantees exponential stability in the L2 sense of the linearized Navier-Stokes equations