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Abstract² The aim of this paper, is to study the performances of closed-loop identification techniques, and choose an optimal closed-loop identification solution, for a flexible transmission system using two recursive closed-loop identification class of methods: the direct closed-loop identification class of methods, called CLOE (Closed Loop Output Error) and the indirect closed-loop identification class of methods called FOL (Filtered Open Loop). The flexible transmission system, for which an optimal closed-loop solution is proposed, is represented by a 4 th order complex plant, with a 2 nd order delay, identified in open-loop[1],for which also a poleplacement control strategy is proposed. The closed-loop identification tests, with the flexible transmission system, are realized in the case of a constant-trace adaptation gain, with a parametric initialization starting from the parameters identified in open-loop.

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