Elsevier

European Journal of Control

Volume 62, November 2021, Pages 136-142
European Journal of Control

Approximate local output regulation for a class of nonlinear fluid flows

https://doi.org/10.1016/j.ejcon.2021.06.025Get rights and content
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Abstract

We consider output tracking for a class of viscous nonlinear fluid flows including the incompressible 2D Navier–Stokes equations. The fluid is subject to in-domain inputs and disturbances. We construct an error feedback controller which guarantees approximate local velocity output tracking for a class of reference outputs. The control solution covers point velocity observations and assumes a smooth enough state space. Efficacy of the control solution is illustrated through a numerical example.

Keywords

Distributed parameter systems
Nonlinear systems
Output regulation
Fluid flow systems

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The research was supported by the Academy of Finland Grant number 310489 held by L. Paunonen.