A direct method for feedback optimal control of fluid flow and heat transfer systems is investigated. The method consists of discretizing the spatial component of the governing partial differential equations using standard finite-volume methods (FVM) while leaving the transient term in its differential form. This partial discretization method is commonly known as the Numerical Method of Lines (NUMOL). The control is then applied to the partially discretized system of linear ordinary time differential equations. Of particular interest is the effectiveness of linearizing about the current state rather than the origin. The effectiveness of this method is investigated through numerical implementation on a simple one-dimensional heat transfer system.
- Heat Transfer Division
Feedback Control of Heat Transfer Systems by the Numerical Method of Lines
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Brown, D, Zhang, C, & Jiang, J. "Feedback Control of Heat Transfer Systems by the Numerical Method of Lines." Proceedings of the ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences. Volume 2: Theory and Fundamental Research; Aerospace Heat Transfer; Gas Turbine Heat Transfer; Computational Heat Transfer. San Francisco, California, USA. July 19–23, 2009. pp. 911-917. ASME. https://doi.org/10.1115/HT2009-88484
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