The improvement of a recently developed method for closed loop nonparametri
c system identification using multiharmonic perturbation signals is describ
ed. Intended primarily as a method for the periodic online retuning of thre
e-term controllers, the original method is shown to benefit from an improve
d selection of its design parameters. A brief review of the original algori
thm is first given, followed by discussion of the improved parameter select
ion and an illustration of its benefits, with the aid of a typical numerica
l example. The result is a computationally efficient algorithm enabling non
parametric estimation of the process around the critical design frequency o
f interest, while also maintaining minimal disruption to the process output
during the identification phase. Periodic online retuning of the controlle
r is then possible without the need for any further relay tests beyond its
initial commissioning.