TR2020-091

Dynamic Mode Decomposition and Robust Estimation: Case Study of a 2D Turbulent Boussinesq Flow

    •  Vijayshankar, S., Nabi, S., Chakrabarty, A., Grover, P., Benosman, M., "Dynamic Mode Decomposition and Robust Estimation: Case Study of a 2D Turbulent Boussinesq Flow", American Control Conference (ACC), DOI: 10.23919/​ACC45564.2020.9147823, July 2020, pp. 2351-2356.
      BibTeX TR2020-091 PDF
      • @inproceedings{Vijayshankar2020jul,
      • author = {Vijayshankar, Sanjana and Nabi, Saleh and Chakrabarty, Ankush and Grover, Piyush and Benosman, Mouhacine},
      • title = {Dynamic Mode Decomposition and Robust Estimation: Case Study of a 2D Turbulent Boussinesq Flow},
      • booktitle = {American Control Conference (ACC)},
      • year = 2020,
      • pages = {2351--2356},
      • month = jul,
      • publisher = {IEEE},
      • doi = {10.23919/ACC45564.2020.9147823},
      • issn = {2378-5861},
      • isbn = {978-1-5386-8266-1},
      • url = {https://www.merl.com/publications/TR2020-091}
      • }
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  • Research Areas:

    Dynamical Systems, Optimization

Abstract:

This paper focuses on an application of dynamic mode decomposition (DMD) identification methods and robust estimation theory to thermo-fluid systems modelled by the Boussinesq equations. First, we use Dynamic Mode Decomposition with control (DMDc) to construct a reduced order linear model for the Boussinesq equations. Due to inherent model uncertainties in real applications, we propose robust estimators that minimize an H infinity norm from disturbance to estimation error. The disturbances we consider here stem from uncertainty in boundary conditions and unknown inputs acting on walls. Numerical simulations on a challenging turbulent flow, of the 2D Boussinesq equations, is used to demonstrate the potential of our approach.

 

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