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IMA Journal of Mathematical Control and Information 2003 20(3):359-370; doi:10.1093/imamci/20.3.359
© 2003 by Institute of Mathematics and its Applications
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Observer design for nonlinear systems using linear approximations

C. Navarro Hernandez1, S. P. Banks1 and M. Aldeen2

1 Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK 2 Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville VIC 3010, Australia

In this paper we present the design of an observer for nonlinear systems. The nonlinear system is represented as a sequence of linear, time-varying approximations and a standard observer design is applied to each linear system. The sequence of observers converges uniformly to give an observer for the nonlinear system. In this way, we can use classical linear techniques for the design of nonlinear observers.

Keywords: observer; nonlinear systems; linear approximations.

Received 1 November 2002. Revised 3 March 2003.


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