An LPV gain scheduling approach to transition control in plane Poiseuille flow
An LPV gain scheduling approach to transition control in plane Poiseuille flow
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平面泊肃叶流中过渡控制的 LPV 增益调度方法
DOI：
10.23919/ecc.2009.7074703
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
H. Werner
中科院分区：
文献类型：
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作者：
Mukhtar Ali;S. S. Chughtai;H. Werner
本文提出了增益调度控制器的综合（由雷诺数参数化），用于平面泊肃叶流中的过渡控制。在实际系统中，雷诺数是随时间变化的——它随着流速的变化而变化。这里考虑的问题是当流速随时间变化时，防止在湍流开始时从层流转变为湍流。针对这个问题，提出了一种由雷诺数参数化的增益调度控制器。首先获得了由时变雷诺数参数化的平面泊肃叶流的线性变参数（LPV）模型，用于合成增益调度控制律。仿真结果表明，该控制方案能够在很大程度上抑制雷诺数时变的干扰。
This paper presents the synthesis of a gain scheduled controller - parameterized by the Reynolds number - for transition control in plane Poiseuille flow. In a real system, the Reynolds number is time-varying - it changes with the speed of flow. The problem considered here is to prevent the transition from laminar to turbulent flow at the very onset of turbulence, when the velocity of flow is changing with time. For this problem a gain scheduled controller, parameterized by the Reynolds number, is proposed. A linear parameter-varying (LPV) model of plane Poiseuille flow parameterized by the time-varying Reynolds number is first obtained, which is used to synthesize a gain scheduled control law. Simulation results show that this control scheme can to a significant degree reject disturbances with time-varying Reynolds number.