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IDENTIFICATION OF THE STABILITY OF FEEDBACK SYSTEMS IN THE PRESENCE OF NONLINEAR DISTORTIONS
J. Schoukens(*), R. Pintelon(**), T. Dobrowiecki(*)
(*) : Vrije Universiteit Brussel, dept. ELEC, Pleinlaan 2, B1050 Brussels, Belgium
(**) : Budapest University of Technology & Economics, Dept. MIS, H-1521 Budapest
email: Johan.Schoukens@vub.ac.be
A criterion to verify experimentally the stability of a nonlinear system, captured in a feedback loop, is proposed. The basic idea is to split the output power in coherent (linearly related to the input) and noncoherent power (the remaining power). A nonlinear power gain, measuring the sensitivity of the noncoherent power to input variations, is introduced. Using the small gain theorem, it is possible to check the local stability of the feedback for the actual class of excitation signals.
Keywords: identification, nonlinear distortion, stability tests
Session slot T-We-M21: Posters of Modelling, Identification and Discrete Systems/Area code 3a : Modelling, Identification and Signal Processing
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