Robust nonlinear control associating robust feedback linearization and H sub( infinity ) control

In this note, a robust nonlinear controller for a nonlinear system subject to model uncertainties is proposed. Such a controller associates a "robust feedback linearization" with a robust linear H sub( infinity ) controller. The robust feedback linearization exactly transforms the nonlinea...

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Published inIEEE transactions on automatic control Vol. 51; no. 7
Main Authors Franco, ALD, Bourles, H, De Pieri, ER, Guillard, H
Format Journal Article
LanguageEnglish
Published 01.01.2006
Subjects
Approximation
Control systems
Dynamical systems
Feedback linearization
Linear systems
Nonlinear dynamics
Nonlinearity
Robustness
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ISSN0018-9286
DOI10.1109/TAC.2006.878782

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Summary:In this note, a robust nonlinear controller for a nonlinear system subject to model uncertainties is proposed. Such a controller associates a "robust feedback linearization" with a robust linear H sub( infinity ) controller. The robust feedback linearization exactly transforms the nonlinear system into a linear system equal to the linear approximation of the original nonlinear system around a nominal operating point. The robustness of the resulting overall nonlinear controller is proved by theoretical arguments and illustrated through an application example, the control of a magnetic bearing system.
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ISSN:0018-9286
DOI:10.1109/TAC.2006.878782