Distributed control of heat conduction in thermal inductive materials with 2D geometrical isomorphism

Chia Yu Chou, Boe Shong Hong, Pei Ju Chiang, Wen Teng Wang, Liang Kuang Chen, Chia Yen Lee

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In 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 accurateheating/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 fractionorders, into DSP-engine embedded microcontrollers.

Original languageEnglish
Pages (from-to)4937-4959
Number of pages23
JournalEntropy
Volume16
Issue number9
DOIs
Publication statusPublished - 2014

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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