Measurement feedback control for a class of feedforward nonlinear systems
Article first published online: 16 APR 2012
Copyright © 2012 John Wiley & Sons, Ltd.
International Journal of Robust and Nonlinear Control
Volume 23, Issue 12, pages 1405–1418, August 2013
How to Cite
Jo, H.-W., Choi, H.-L. and Lim, J.-T. (2013), Measurement feedback control for a class of feedforward nonlinear systems. Int. J. Robust Nonlinear Control, 23: 1405–1418. doi: 10.1002/rnc.2819
- Issue published online: 9 JUL 2013
- Article first published online: 16 APR 2012
- Manuscript Accepted: 6 MAR 2012
- Manuscript Revised: 31 DEC 2011
- Manuscript Received: 14 JUL 2011
- measurement feedback;
- feedforward nonlinear system;
- low-pass filter
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.