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Robust asymptotic stabilization of nonlinear systems by state feedback

Authors: François Poulain, Laurent Praly, 8th IFAC Symposium on Nonlinear Control Systems, pp. 653-658, September 2010, Bologna Italy
We show that regulation to a constant value of the output of a process can be achieved robustly by designing a stabilizer for a model augmented with an integrator of the output and by having the model dynamics close enough to the process ones. This is nothing but the PI controller paradigm extended to the case of nonlinear systems. We recall also that the forwarding technique is well suited for this particular stabilizer design. Finally we illustrate our result with solving the problem of regulating the flight path angle of the longitudinal mode of a plane.
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BibTeX:
@Proceedings{,
author = {François Poulain, Laurent Praly},
editor = {},
title = {Robust asymptotic stabilization of nonlinear systems by state feedback},
booktitle = {8th IFAC Symposium on Nonlinear Control Systems},
volume = {},
publisher = {},
address = {Bologna},
pages = {653-658},
year = {2010},
abstract = {We show that regulation to a constant value of the output of a process can be achieved robustly by designing a stabilizer for a model augmented with an integrator of the output and by having the model dynamics close enough to the process ones. This is nothing but the PI controller paradigm extended to the case of nonlinear systems. We recall also that the forwarding technique is well suited for this particular stabilizer design. Finally we illustrate our result with solving the problem of regulating the flight path angle of the longitudinal mode of a plane.},
keywords = {Asymptotic stability, forwarding, Integral action, nonlinear control, non-minimum phase systems, regulation, robust stability, uncertain dynamic system}}