In this paper we investigate the local stabilizability of single-input nonlinear affine systems by means of an estimated state feedback law given by a bilinear observer. The associated bilinear approximating system is assumed to be observable for any input and stabilizable by a homogeneous feedback law of degree zero. Furthermore, we discuss the case of planar systems which admit bad inputs (i.e. the ones that make bilinear systems unobservable). A separation principle for such systems is given.
@article{bwmeta1.element.bwnjournal-article-amcv11i2p481bwm,
author = {Hammami, Mohamed and Jerbi, Hamadi},
title = {Separation principle for nonlinear systems: a bilinear approach},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {11},
year = {2001},
pages = {481-492},
zbl = {0989.93044},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv11i2p481bwm}
}
Hammami, Mohamed; Jerbi, Hamadi. Separation principle for nonlinear systems: a bilinear approach. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) pp. 481-492. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv11i2p481bwm/
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