Structural Identification of Nonlinear Static System on Basis of Analysis Sector Sets
Author(s) -
Nikolay Karabutov
Publication year - 2013
Publication title -
international journal of intelligent systems and applications
Language(s) - English
Resource type - Journals
eISSN - 2074-9058
pISSN - 2074-904X
DOI - 10.5815/ijisa.2014.01.01
Subject(s) - basis (linear algebra) , identification (biology) , computer science , nonlinear system , space (punctuation) , phase portrait , set (abstract data type) , class (philosophy) , mathematical optimization , control theory (sociology) , artificial intelligence , mathematics , control (management) , botany , geometry , physics , quantum mechanics , biology , bifurcation , programming language , operating system
Methods of structural identification of static systems with a vector input and several nonlinearities in the conditions of uncertainty are considered. We consider inputs irregular. The concept of structural space is introduced. In this space special structures (virtual portraits) are analyzed. The Holder condition is applied to construction of sector set, to which belongs a virtual portrait of system of identification. Criteria of decision-making on a class of nonlinear functions on the basis of the analysis of proximity of sector sets are described. Procedures of an estimation of structural parameters of two classes of nonlinearities are stated: power and a hysteresis
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