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Identification of nonlinear plants under linear control using Youla-Kucera parametrizations

This paper treats the identification of a noise contaminated nonlinear plant operating in a closed-loop with a stabilizing controller. The a priori model of the plant is nonlinear, and its update is obtained via a Youla-Kucera parameter. The introduction of this parameter induces a nonstandard open-loop identification problem, which in a low noise situation can be formulated as a standard open-loop problem.