Sample Time in Adaptation Law

2017 2 3
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I've got an Adoption Law using a sampling time (T_s) and a number of periods(i) to determinte it's output. All other components of my adaptive controller don't depend expictly on this sample time.
I don't know how to implement this sample and which specific values i should use. If I choose fixed step with a fundamental sample time, then this would affect all other components of the controller, which is not desired? Is it possible to generate a sample time only for this specific Adaption Law-Block? Or is this whole approach wrong?

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