Distributed Control of Heat Conduction in Thermal Inductive Materials with 2D Geometrical Isomorphism
AbstractIn a previous study we provided analytical and experimental evidence that some materials are able to store entropy-flow, of which the heat-conduction behaves as standing waves in a bounded region small enough in practice. In this paper we continue to develop distributed control of heat conduction in these thermal-inductive materials. The control objective is to achieve subtle temperature distribution in space and simultaneously to suppress its transient overshoots in time. This technology concerns safe and accurate heating/cooling treatments in medical operations, polymer processing, and other prevailing modern day practices. Serving for distributed feedback, spatiotemporal H ∞ /μ control is developed by expansion of the conventional 1D-H ∞ /μ control to a 2D version. Therein 2D geometrical isomorphism is constructed with the Laplace-Galerkin transform, which extends the small-gain theorem into the mode-frequency domain, wherein 2D transfer-function controllers are synthesized with graphical methods. Finally, 2D digital-signal processing is programmed to implement 2D transfer-function controllers, possibly of spatial fraction-orders, into DSP-engine embedded microcontrollers. View Full-Text
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Chou, C.-Y.; Hong, B.-S.; Chiang, P.-J.; Wang, W.-T.; Chen, L.-K.; Lee, C.-Y. Distributed Control of Heat Conduction in Thermal Inductive Materials with 2D Geometrical Isomorphism. Entropy 2014, 16, 4937-4959.
Chou C-Y, Hong B-S, Chiang P-J, Wang W-T, Chen L-K, Lee C-Y. Distributed Control of Heat Conduction in Thermal Inductive Materials with 2D Geometrical Isomorphism. Entropy. 2014; 16(9):4937-4959.Chicago/Turabian Style
Chou, Chia-Yu; Hong, Boe-Shong; Chiang, Pei-Ju; Wang, Wen-Teng; Chen, Liang-Kuang; Lee, Chia-Yen. 2014. "Distributed Control of Heat Conduction in Thermal Inductive Materials with 2D Geometrical Isomorphism." Entropy 16, no. 9: 4937-4959.