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Dynamic output feedback regulation for a class of nonlinear systems

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Abstract

In this paper results are presented on the problem of regulating nonlinear systems by output feedback, using Lyapunov-based techniques. In all the cases considered here, we assume that the part of the state which is not measured enters linearly in the equations. Sufficient conditions for the global stabilization of the observed states via dynamic output feedback are obtained, assuming that such stabilization is possible using state feedback. Systems satisfying these conditions include a natural class of bilinear systems and systems which reduce to linear observable systems when the nonlinear terms in the measured states are removed. Some simple examples are included to illustrate our approach.

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Authors and Affiliations

  1. Queen's University at Kingston, K7L 3N6, Kingston, Ontario, Canada

    J. -B. Pomet, R. M. Hirschorn & W. A. Cebuhar

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  1. J. -B. Pomet
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  2. R. M. Hirschorn
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  3. W. A. Cebuhar
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Additional information

This work was supported in part by the Natural Sciences and Engineering Research Council of Canada. J.-B. Pomet is now with Laboratoire d'Automatique de Nantes (URA C.N.R.S. 823), E.C.N., 44072 NANTES cedex 03, France; most of this work was done when he was with Queen's University.

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Pomet, J.B., Hirschorn, R.M. & Cebuhar, W.A. Dynamic output feedback regulation for a class of nonlinear systems. Math. Control Signal Systems 6, 106–124 (1993). https://doi.org/10.1007/BF01211742

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  • DOI: https://doi.org/10.1007/BF01211742

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