Observer linearization of nonlinear systems by generalized tansformations

Guay, M.
(2005) Asian Journal of Control — Vol. 7, n° 2, p. 187-196 (2005)

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  • Guay, M.
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Abstract
In this paper, we study the problem of observer linearization for single output dynamical systems in the presence of an output-dependent time-scaling transformation and a simultaneous output diffeomorphism. The approach, based on an exterior calculus approach, provides a constructive approach to the problem of equivalence of a locally observable nonlinear system to a linear observer form by means of an output dependent time-scale transformation, an output diffeomorphism and a state-space diffeomorphism. A generalization of existing results is obtained which allows the treatment of a larger class of locally observable nonlinear systems.
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Guay, M. (2005). Observer linearization of nonlinear systems by generalized tansformations. Asian Journal of Control, 7(2), 187-196. https://doi.org/10.1111/j.1934-6093.2005.tb00388.x (Original work published 2005)