Robust adaptive output‐feedback control for nonlinear systems with output unmodeled dynamics

Z Wu, X Xie, P Shi - … Journal of Robust and Nonlinear Control …, 2008 - Wiley Online Library
Z Wu, X Xie, P Shi
International Journal of Robust and Nonlinear Control: IFAC …, 2008Wiley Online Library
In this paper, for a class of uncertain nonlinear systems in the presence of inverse dynamics,
output unmodeled dynamics and nonlinear uncertainties, a robust adaptive output‐feedback
controller design is proposed by combining small‐gain theorem, changing supply function
techniques with backstepping methods. It is shown that all the signals of the closed‐loop
system are uniformly bounded in biased case, and the output can be regulated to a small
neighborhood of the origin in unbiased case. Furthermore, under some additional …
Abstract
In this paper, for a class of uncertain nonlinear systems in the presence of inverse dynamics, output unmodeled dynamics and nonlinear uncertainties, a robust adaptive output‐feedback controller design is proposed by combining small‐gain theorem, changing supply function techniques with backstepping methods. It is shown that all the signals of the closed‐loop system are uniformly bounded in biased case, and the output can be regulated to a small neighborhood of the origin in unbiased case. Furthermore, under some additional assumptions, an asymptotical result is obtained. Copyright © 2007 John Wiley & Sons, Ltd.
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