POD based observer for contaminant flow estimation in building systems

  • Authors:

  • T. John;M. Guay;N. Hariharan

  • Affiliations:

  • Department of Electrical and Computer Engineering, University of Toronto, Toronto, Ontario, Canada;Department of Chemical Engineering, Queen's University, Kingston, Ontario, Canada;United Technologies Research Centre, East Hartford

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

In this paper, we propose a POD-based technique that is suitable for the design of reliable observers for the estimation of velocity field and contaminant flow for Navier-Stokes flow. POD modes are constructed using the method snapshot. Karhunen-Loeve (Galerkin) projection to develop a reduced-order model obtained by projecting the velocity field onto the most important POD modes. The resulting finite-dimensional dynamical system is suitable for the design of nonlinear observers. The estimate of the velocity field is then used to estimate the concentration field of a contaminant from the 2D advection-diffusion equation. The prime application considered is the estimation of airflow and contaminant flow in building systems. A 2D simulation example is provided to demonstrate the applicability of the technique.