基于最优控制的电渗微混合器电极分布逆确定
Optimal control-based inverse determination of electrode distribution for electroosmotic micromixer
摘要：
本文提出了一种基于最优控制的反求方法，用于确定电渗微混合器的电极分布。基于最优控制方法，构造了一个Dirichlet边界控制问题，以反求电渗微混合器侧壁上电极的最优分布，并使其达到可接受的混合性能。通过求解边界控制问题，可以得到施加在侧壁上的外电势的阶梯形分布，并根据所得到的外电势反求电极的分布。数值结果也证明了所提出的方法的有效性。
英文摘要：
This paper presents an optimal control-based inverse method used to determine the distribution of the electrodes for the electroosmotic micromixers with external driven flow from the inlet. Based on the optimal control method, one Dirichlet boundary control problem is constructed to inversely find the optimal distribution of the electrodes on the sidewalls of electroosmotic micromixers and achieve the acceptable mixing performance. After solving the boundary control problem, the step-shaped distribution of the external electric potential imposed on the sidewalls can be obtained and the distribution of electrodes can be inversely determined according to the obtained external electric potential. Numerical results are also provided to demonstrate the effectivity of the proposed method.
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