A Closed-Form Observer for the Channel Flow Navier-Stokes System

@article{Vazquez2005ACO,
  title={A Closed-Form Observer for the Channel Flow Navier-Stokes System},
  author={Rafael Vazquez and Miroslav Krstic},
  journal={Proceedings of the 44th IEEE Conference on Decision and Control},
  year={2005},
  pages={5959-5964}
}
The observer design for non-discretized Navier-Stokes partial differential equations has so far been an open problem. We present a nonlinear PDE observer that estimates the velocity and pressure fields for an infinite channel flow. Also know as the Poisseuille flow, this problem is frequently cited as a paradigm for transition to turbulence, and is a benchmark for flow control and turbulence estimation. Our observer consists of a copy of the nonlinear Navier-Stokes equations, combined with… CONTINUE READING
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