In this paper an analytical method and a PDE-based solution to control temperature distribution in FGM plates is introduced. For the rectangular FGM plate under consideration, it is assumed that the material properties such as thermal conductivity, density, and specific heat capacity, vary in the width direction (y); and the governing heat conduction equation of the plate is a second-order partial differential equation. Since there has been little control synthesis work for PDE-based systems as compared to the abundance of control design techniques available for ordinary differential equations (ODEs), most of the proposed control approaches for continuous domain rely on discretizing the PDE model into a set of ODEs. Using Lyapunov’s theorem, we will show that with applying controlled heat flux through the boundary of the domain, the temperature distribution of the plate will approach to the desired distribution of Td (x, y). Finally, numerical methods are used to analyze transient heat transfer as distributed temperature T (x, y, t) converge to desired one of Td (x, y).
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ASME 2009 International Mechanical Engineering Congress and Exposition
November 13–19, 2009
Lake Buena Vista, Florida, USA
Conference Sponsors:
- ASME
ISBN:
978-0-7918-4383-3
PROCEEDINGS PAPER
Boundary Control of Temperature Distribution in a Rectangular FGM Plate Available to Purchase
Hossein Rastgoftar,
Hossein Rastgoftar
Shiraz University, Shiraz, Iran
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Mehrdad Gharib Shirangi,
Mehrdad Gharib Shirangi
Sharif University of Technology, Tehran, Iran
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Mohammad Eghtesad
Mohammad Eghtesad
Shiraz University, Shiraz, Iran
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Hossein Rastgoftar
Shiraz University, Shiraz, Iran
Mehrdad Gharib Shirangi
Sharif University of Technology, Tehran, Iran
Mohammad Eghtesad
Shiraz University, Shiraz, Iran
Paper No:
IMECE2009-12081, pp. 777-783; 7 pages
Published Online:
July 8, 2010
Citation
Rastgoftar, H, Gharib Shirangi, M, & Eghtesad, M. "Boundary Control of Temperature Distribution in a Rectangular FGM Plate." Proceedings of the ASME 2009 International Mechanical Engineering Congress and Exposition. Volume 10: Mechanical Systems and Control, Parts A and B. Lake Buena Vista, Florida, USA. November 13–19, 2009. pp. 777-783. ASME. https://doi.org/10.1115/IMECE2009-12081
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