A novel high level canonical piecewise linear model based on the simplicial partition and its application

CATEGORY: SIMULATION
2013 10th IEEE International Conference on Control and Automation (ICCA), 12-14 June 2013, Page(s): 1856 – 1861, Hangzhou Digital Object Identifier :10.1109/ICCA.2013.6565070
A novel high level canonical piecewise linear model based on the simplicial partition and its application
Xiaoyong Gao ; Yongheng Jiang ; Dexian Huang ; Zhihua Xiong
Dept. of Autom., Tsinghua Univ., Beijing, China
Abstract
Piecewise linear model is able to handle complex nonlinearity and maintain linearity in subregions. The compact representations of piecewise linear (PWL) such as hinging hyperplanes (HH), generalized hinging hyperplanes (GHH) and so on have been introduced. However, during parameters training, the partitions are uncontrollable and unpredictable, resulting in a large number of crossing subregions, the so-called curse of partitions. This makes real world applications difficult. Authors present an innovative high level canonical piecewise linear model based on simplex partition designed to tackle the curse of partitions.
They conduct a number of numerical experiments to demonstrate the effectiveness of the model. They employ Petro-SIM to simulate the refinery hydro-upgrading processing units (HUPUs). Scheduling models of HUPUs are obtained with the model. Simulation experiments demonstrate that not only can the model formulation maintain a relatively high fitting accuracy, it also avoids the curse of partitions.
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