Mian Jiang
Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiang Tan, 411201, China
Xuejun Li
Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiang Tan, 411201, China
Tiandong Peng
Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiang Tan, 411201, China
ABSTRACT
A grey-box modeling methodology using new basis functions is proposed for the reduction of spatially distributed processes. The methodology amounts to find low-order substitute models for the processes which can balance the dimension, computational efficiency and the accuracy. Model reduction is pursued by time/space separation and projection on the set of new basis functions. Subsequently, an empirical component is identified to substitute the nonlinear terms and un-modeled dynamics. As a consequence, a grey-box model has been developed to approximate the spatially distributed processes. A numerical example is used to demonstrate the effectiveness of the proposed method.
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How to cite this article
Mian Jiang, Xuejun Li and Tiandong Peng, 2013. A Grey-box Modeling Approach for the Reduction of Spatially Distributed Processes
Using New Basis Functions. Information Technology Journal, 12: 7019-7023.
DOI: 10.3923/itj.2013.7019.7023
URL: https://scialert.net/abstract/?doi=itj.2013.7019.7023
DOI: 10.3923/itj.2013.7019.7023
URL: https://scialert.net/abstract/?doi=itj.2013.7019.7023
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