Displaying similar documents to “Separation principle for nonlinear systems using a bilinear approximation”

Separation principle for nonlinear systems: a bilinear approach

Mohamed Hammami, Hamadi Jerbi (2001)

International Journal of Applied Mathematics and Computer Science

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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...

Output feedback problems for a class of nonlinear systems

Sergej Čelikovský, Javier Ruiz, A. J. Sapiens, Jorge A. Torres Muñoz (2003)

Kybernetika

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The paper deals with the construction of the output feedback controllers for the systems that are transformable into a simpler form via coordinate change and static state feedback and, at the same time, via (possibly different) coordinate change and output injection. Illustrative examples are provided to stress the major obstacles in applying the above scheme, especially as far as its global aspects are concerned. The corresponding results are then applied to the problem of the real-time...

A reduction principle for global stabilization of nonlinear systems

Rachid Outbib, Gauthier Sallet (1998)

Kybernetika

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The goal of this paper is to propose new sufficient conditions for dynamic stabilization of nonlinear systems. More precisely, we present a reduction principle for the stabilization of systems that are obtained by adding integrators. This represents a generalization of the well-known lemma on integrators (see for instance [BYIS] or [Tsi1]).