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Mathematics
Volume 9
Issue 14
10.3390/math9141707
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Article
Peer-Review Record

A Simple Analytical Method for Estimation of the Five-Parameter Model: Second-Order with Zero Plus Time Delay

Mathematics 2021, 9(14), 1707; https://doi.org/10.3390/math9141707
by Tomaž Kos 1,2 and Damir Vrančić 1,*
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Reviewer 3: Anonymous
Mathematics 2021, 9(14), 1707; https://doi.org/10.3390/math9141707
Submission received: 2 June 2021 / Revised: 12 July 2021 / Accepted: 18 July 2021 / Published: 20 July 2021
(This article belongs to the Special Issue New Trends on Identification of Dynamic Systems)

Round 1

Reviewer 1 Report

This paper presents a method for the identification of second order systems with unstable zero by applying the method of moments.

The paper is well written and clear. Some examples are provided that show the performance of the method.

Jus as a minor detail, in (2), there is left to be indicated that the derivatives are evaluated at s=0.

Reviewer is concerned with the potential effect of noise. Win case the data is corrupted by noise, what would be the effect on the application of the method. It is suggested to take one of the examples, (for example, Case 5) and introduce noise in the measurements with some noise power. Go increasing the noise power to detect limitations of the method.

Author Response

Please see the attachment.

Author Response File: Author Response.docx

Reviewer 2 Report

The paper presents an interesting method of identification of a particular system. While I think that the simulation results are convincing, I consider the topic to be very specialized for a general-purpose mathematical journal. Perhaps a process control journal may be a better fit.

The originality of the method is relatively low since the main results were developed in previous work. It is an interesting extension. The main contribution seems to be an analysis of the roots of the resulting polynomial.

I also have reservations about the provided results being only perfect simulations. An example with real data identification would be much more interesting due to model mismatch and measurement errors. 

It was mentioned that the chosen model is motivated by control. It would be nice to show the impact of the model mismatch on the closed-loop performance.  

Author Response

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Author Response File: Author Response.docx

Reviewer 3 Report

That paper proposes analytical method to identify the five-parameter model directly from the characteristics areas.

The only parameter required by the user is the type of process, which in practice can be easily determined from the time response of the process.

That paper is ready for publication. I suggest to use more fresh literature in discussion.

Author Response

Please see the attachment.

Author Response File: Author Response.docx

Round 2

Reviewer 2 Report

My concerns from the previous revision were adequatly addressed.

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