On the use of reduced models obtained through identification for feedback optimal control problems in a heat convection-diffusion problem

DOI10.1016/j.cma.2009.12.009zbMath1227.76017OpenAlexW1966175445MaRDI QIDQ649236

Y. Rouizi, Yann Favennec, Daniel Petit

Publication date: 30 November 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2009.12.009

zbMATH Keywords

optimizationoptimal controlstate estimationKalman filtermodel reductionfeedback controlRiccati equationbackward-facing stepadjoint state methodKalman gainmodal identification method

Mathematics Subject Classification ID

Related Items (2)

Sparsity preserving optimal control of discretized PDE systems ⋮ A reduced-order model of mould heat transfer in the continuous casting of steel

Cites Work

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• Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop `Model order reduction, coupled problems and optimization', Leiden, The Netherlands, September 19--23, 2005.
• Numerical model reduction of 2D steady incompressible laminar flows: Application on the flow over a backward-facing step
• A non-staggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinates
• Induction heating processes optimization: A general optimal control approach
• Identification methods in nonlinear heat conduction. I: Model reduction
• Using process tomography as a sensor for optimal control
• State estimation with fluid dynamical evolution models in process tomography - an application to impedance tomography
• Comparison between the modal identification method and the POD-Galerkin method for model reduction in nonlinear diffusive systems
• The adjoint method coupled with the modal identification method for nonlinear model reduction
• Reduced modelling through identification on 2D incompressible laminar flows
• Is the steady viscous incompressible two‐dimensional flow over a backward‐facing step at Re = 800 stable?
• Three-dimensional instability in flow over a backward-facing step
• Estimation of time-varying pollutant emission rates in a ventilated enclosure: inversion of a reduced model obtained by experimental application of the modal identification method
• Approximation of Large-Scale Dynamical Systems

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