International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 2001
Volume 11 - 2001

Separation principle for nonlinear systems: A bilinear approach

Mohamed Ali Hammami, Hamadi Jerbi

Abstract
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.

Keywords
nonlinear systems, bilinear systems, observer, stabilization