Comments on “Design of fractional adaptive strategy for input nonlinear Box–Jenkins systems”

• This note proves that identification model presented in [1] is incorrect.
• AM-FLMS algorithm is not presented in [1], but results of this algorithm are provided.
• The algorithms presented in [1] are not implementable due to unknown noise terms.
• Noise v(t)v(t) is treated as known signal. This is totally wrong.
• Solutions of issues are presented on the basis of established results.

This note points out some errors in the identification model and implementation issues of adaptive strategies presented by Chaudhary and Raja for estimation of input nonlinear Box–Jenkins (INBJ) systems (Chaudhary and Raja, 2015 [1]). This note proves that identification model presented in above mentioned paper is incorrect and in stepwise manner suggests some suitable corrections. Authors claim to propose two algorithms for INBJ systems in above mentioned paper: fractional least mean square (F-LMS) algorithm and auxiliary model fractional least mean square (AM-FLMS) algorithm. AM-FLMS algorithm is not presented in this paper, but results of this algorithm are provided. The adaptive algorithms presented by authors are not implementable due to the presence of unknown noise terms in information vector. Authors have ignored these critical issues. Finally, corrections on the basis of established techniques are also mentioned that solve the problems in the above mentioned paper.