Reduced order distributed boundary control of thermal transients in microsystems

We study the problem of regulation of thermal transients in a microsystem using empirical eigenfunctions. Proper orthogonal decomposition (POD) is applied to an ensemble of data to obtain the dominant structures, called empirical eigenfunctions, that characterize the dynamics of the process. These e...

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Bibliographic Details
Published in:IEEE transactions on control systems technology 2005-11, Vol.13 (6), p.853-867
Main Authors: Bleris, L.G., Kothare, M.V.
Format: Article
Language:English
Subjects:
Aerospace electronics
Applied sciences
Boundary control
Boundary reduced order control
Computer science
control theory
systems
Computer simulation
Control theory. Systems
Cost function
Distributed control
Dynamics
Eigenfunctions
Eigenvalues and eigenfunctions
Empirical analysis
empirical eigenfunctions
Exact sciences and technology
Finite element method
Finite element methods
Heat transfer
Mathematical analysis
Mechanical engineering. Machine design
microsystems
Precision engineering, watch making
receding horizon control (RHC)
Spatiotemporal phenomena
Temperature control
Temperature sensors
Thermal conductivity
Thermal transients
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Summary:We study the problem of regulation of thermal transients in a microsystem using empirical eigenfunctions. Proper orthogonal decomposition (POD) is applied to an ensemble of data to obtain the dominant structures, called empirical eigenfunctions, that characterize the dynamics of the process. These eigenfunctions are the most efficient basis for capturing the dynamics of an infinite dimensional process with a finite number of modes. In contrast to published approaches, we propose a new receding horizon boundary control scheme using the empirical eigenfunctions in a constrained optimization procedure to track a desired spatiotemporal profile. Finite element method (FEM) simulations of heat transfer are provided and used in order to implement and test the performance of the controller.
ISSN:1063-6536
1558-0865
DOI:10.1109/TCST.2005.854332