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New results on the problem of the stabilization of equilibria for models of electrohydraulic servoactuators
Author(s) -
Silvia Balea,
A. Halanay,
I. Ursu
Publication year - 2013
Publication title -
discrete and continuous dynamical systems - s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2013.6.1551
Subject(s) - control theory (sociology) , nonlinear system , mathematics , coordinate system , control (management) , order (exchange) , computer science , geometry , physics , artificial intelligence , economics , finance , quantum mechanics
Control synthesis for electrohydraulic servoactuators (EHSA) is achieved using elements of geometric control theory. Based on a Malkin type theorem for switched systems of ordinary differential equations, the existence of stabilizing feedback controllers is prove to hold in the specific case of EHSAs when the relative degree of the nonlinear control system is one unit less than the order of the system. The proof relies on coordinate transformations that bring the system to some canonical form.

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