DocumentCode :
550706
Title :
An integrated algorithm for hinging hyperplanes and its application in distillation process
Author :
Gao Xiaoyong ; Jiang Yongheng ; Huang Dexian
Author_Institution :
Dept. of Autom., Tsinghua Univ., Beijing, China
fYear :
2011
fDate :
22-24 July 2011
Firstpage :
5294
Lastpage :
5298
Abstract :
Hinging hyperplanes (HH) is a kind of piecewise linear approximation methods which is proven to be effective for any continuous linear functions with arbitrary dimensions on compact sets in any given precision. In the open literatures, more attentions are concentrated on the representation capability and the convergence issue of parameter optimization is rarely concerned with, which is important for real world application, especially for real time online modeling. And the application effect by the current parameter optimization method shows that the convergence rate becomes slower and slower along with iterations increase and hard to proceed when parameters are in a neighborhood of optimal point. To cope with this drawback, a novel parameter optimization algorithm is introduced to accelerate the convergence rate, which integrates the Newton´s method with conjugate gradient method. The effectiveness of proposed algorithm is verified by comparison. And then a practical example is given to model the pour point of side-draw of atmospheric column. The accuracy is satisfied for application and convergence rate by the integrated algorithm is accelerated compared with the original one.
Keywords :
Newton method; approximation theory; conjugate gradient methods; distillation; distillation equipment; HH; Newton method; arbitrary dimensions; atmospheric column side-draw; compact sets; conjugate gradient method; continuous linear functions; convergence rate; distillation process; hinging hyperplanes; integrated algorithm; iterations; parameter optimization algorithm; piecewise linear approximation methods; real time online modeling; Atmospheric modeling; Convergence; Estimation; Fasteners; Gradient methods; Neural networks; Atmospheric Column; Convergence Rate; Hinging Hyperplanes;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
ISSN :
1934-1768
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
Type :
conf
Filename :
6001045
Link To Document :
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