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Harmonic-like Identification of Nonlinear Systems around an Equilibrium

Laurent Baratchart 1, * Matthias Caenepeel 1, 2 Yves Rolain 2 
* Corresponding author
Abstract : In this work, we propose a method to compute the poles of the linear approximation to a non-linear system, locally around a stable equilibrium point. The method uses periodic inputs, just like hermonic identification of linear systems. We show in passing that the class of Wiener-Hammerstein systems is but a small subset of the collection of all nonlinear control systems, locally around a hyperbolic equilibrium.For this we dwell on the exact local topological linearization of linear systems as developed in [6].
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Laurent Baratchart, Matthias Caenepeel, Yves Rolain. Harmonic-like Identification of Nonlinear Systems around an Equilibrium. International Instrumentation and Measurement Technology Conference (I2MTC), May 2015, Pisa, Italy. ⟨10.1109/I2MTC.2015.7151338⟩. ⟨hal-01245928⟩



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