Comments on “A Novel Fault Diagnostics and Prediction Scheme Using a Nonlinear Observer With Artificial Immune System as an Online Approximator”

In this letter, we point out that the asymptotic convergence, claimed in
Theorem 2
, of the output residual and parameter estimation error after fault occurrence are guaranteed by the performance of the fault diagnosis observer is not quite right. The proof of the asymptotic convergence is contributed by Lemma 1 and negative semidefiniteness of the first difference of Lyapunov candidate function. Here, it is shown that utilizing Lemma 1 yields in some disputed points in the proof of
Theorem 2
. On the other hand, the proof of
Theorem 2
is not mathematically correct. Therefore, the guarantee of the asymptotic convergence mentioned for FD observer in
Theorem 2
is not realizable.