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Separation Principle for Nonlinear Systems: a Bilinear Approach

Hammani M. A., Jerbi H.

International Journal of Applied Mathematics and Computer Science

2001

Vol. 11, no 2

481-492

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.