Output-feedback stabilization of a class of uncertain non-minimum-phase nonlinear systems

Authors:
D. Karagiannis;Z. P. Jiang;R. Ortega;A. Astolfi
Affiliations:
Department of Electrical and Electronic Engineering, Imperial College, London SW7 2BT, UK;Department of Electrical and Computer Engineering, Polytechnic University, Brooklyn, NY 11201, USA;Laboratoire des Signaux et Systèmes, Supélec, 91192 Gif-sur-Yvette, France;Department of Electrical and Electronic Engineering, Imperial College, London SW7 2BT, UK
Venue:
Automatica (Journal of IFAC)
Year:
2005

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Abstract

The problem of global output-feedback stabilization for a class of nonlinear systems whose zero dynamics are not necessarily stable is addressed in this paper. It is shown that, using a novel observer design tool together with standard backstepping and small-gain techniques, it is possible to design a stabilizing output feedback controller which ensures robustness with respect to dynamic uncertainties. The proposed stabilization method generalizes existing tools in several directions. As an example, the method is applied to the stabilization of the benchmark translational oscillator/rotational actuator (TORA) using only measurements of the rotational position.