New results on the problem of the      stabilization of equilibria for models of      electrohydraulic servoactuators

Silvia Balea; Andrei Halanay; Ioan Ursu

doi:10.3934/dcdss.2013.6.1551

Article Contents

2013, Volume 6, Issue 6: 1551-1567. Doi: 10.3934/dcdss.2013.6.1551

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New results on the problem of the stabilization of equilibria for models of electrohydraulic servoactuators

1.
Department of Mathematics 2, University Politehnica of Bucharest, 313 Splaiul Independenţei, RO-060042, Bucharest
2.
Department of Mathematics 1, University Politehnica of Bucharest, 313 Splaiul Independenţei, RO-060042, Bucharest

Received: May 31, 2012

Revised: August 31, 2012

Published: November 2013

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Abstract

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.

Keywords:

Mathematics Subject Classification: Primary: 93D15, 34D20, 93B27; Secondary: 93B52.

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