The control of fluid flows has many applications. For micro air vehicles, integrated flow control designs could enhance flight stability by mitigating the effect of destabilizing air flows in their low Reynolds number regimes. However, computing model based feedback control designs can be challenging due to high dimensional discretized flow models. In this work, we investigate the use of a snapshot algorithm proposed in Ref. 1 to approximate the feedback gain operator for a linear incompressible unsteady flow problem on a bounded domain. The main component of the algorithm is obtaining solution snapshots of certain linear flow problems. Numerical results for the example flow problem show convergence of the feedback gains.
B. T. Dickinson et al., "A Snapshot Algorithm for Linear Feedback Flow Control Design," AIAA Unmanned, Unlimited Conference, American Institute of Aeronautics and Astronautics (AIAA), Apr 2009.
The definitive version is available at https://doi.org/10.2514/6.2009-1961
Mathematics and Statistics
Article - Conference proceedings
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