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Measurement feedback control for a class of feedforward nonlinear systems
Author(s) -
Jo HyunWook,
Choi HoLim,
Lim JongTae
Publication year - 2013
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.2819
Subject(s) - control theory (sociology) , feed forward , noise (video) , controller (irrigation) , nonlinear system , filter (signal processing) , nonlinear filter , bounded function , computer science , mathematics , engineering , filter design , control engineering , control (management) , physics , artificial intelligence , mathematical analysis , quantum mechanics , image (mathematics) , computer vision , biology , agronomy
SUMMARY We propose a measurement feedback controller for a class of feedforward nonlinear systems under sensor noise. The sensor noise has unknown magnitude, frequency, and phase. Our proposed controller is coupled with a low‐pass filter in such a way that the sensor noise is attenuated. We show that the controlled system results in bounded states whose ultimate bounds are inversely proportional to the minimum frequency of the sensor noise. Our result is further generalized to work in a case where the sensor noise is only required to have a Fourier transform with finite energy. Moreover, if the sensor noise enters only at partial states, depending on the location of the sensor noise, the ultimate bounds of the particular states can be made arbitrarily small via the gain factor of the controller. Copyright © 2012 John Wiley & Sons, Ltd.