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Testing (non‐)linearity of distributed‐parameter systems from a video sequence
Author(s) -
Rafajłowicz Ewaryst,
Rafajłowicz Wojciech
Publication year - 2010
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.172
Subject(s) - linearity , correctness , sequence (biology) , nonlinear system , class (philosophy) , process (computing) , computer science , algorithm , statistical hypothesis testing , control theory (sociology) , mathematics , artificial intelligence , engineering , electronic engineering , control (management) , statistics , physics , programming language , quantum mechanics , biology , genetics
The aim of the paper is to propose a statistical test for testing (non‐) linearity of nD systems described by partial differential equations. The test is based on using a sequence of 2D observations provided by a camera, which are converted into observed modes of the system and compared to the modes that are expected when the system is linear. A theoretical correctness of the test is proved for a certain class of nonlinear systems. An application of the theory is illustrated by testing linearity of the process of cooling a copper plate. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society