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Application of quadratic differential forms to designing linear controllers for nonlinearities
Author(s) -
Pendharkar I.,
Pillai H. K.
Publication year - 2011
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.326
Subject(s) - interconnection , nonlinear system , control theory (sociology) , differential (mechanical device) , quadratic equation , class (philosophy) , linear system , mathematics , computer science , control engineering , mathematical optimization , engineering , control (management) , artificial intelligence , mathematical analysis , telecommunications , physics , geometry , quantum mechanics , aerospace engineering
We consider the following problem: given a nonlinear system (possibly with memory), parametrize a class of linear systems that can be interconnected (through fairly general interconnection constraints) with the nonlinear system to yield a stable autonomous system. We address this problem in a behavioral theoretic setting by constructing Quadratic Differential Forms (QDFs) called storage functions associated with the linear system. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society