Grey Wolf and Weighted Whale Algorithm Optimized IT2 Fuzzy Sliding Mode Backstepping Control with Fractional-Order Command Filter for a Nonlinear Dynamic System

Round 1

Reviewer 1 Report

Comments to the authors

Manuscript number: applsci-1064870

Title: Grey Wolf and Weighted Whale Algorithm Optimized IT2 Fuzzy Sliding Mode Backstepping Control with Fractional-  Order Command Filter for a Nonlinear Dynamic System

 

1) Provide a list of abbreviations used in the manuscript.

 

2) English issues:

a) “Optimization and simulation results of an articulated manipulator system were presentedto [are presented to] demonstrate the improved performance”

 

3) Provide a brief outline of the manuscript at the end of Section 1. This would help the reader to figure out the organization of the manuscript, and locate discussions.

 

4) The difference between x and x-bar is not clear in (1).

 

5) Robustness of the method has been discussed in conclusion, while it is not addressed in the paper. Use the following paper to address the robustness of the method (at least as a remark).

a) “H∞ disturbance attenuation of fuzzy large-scale systems,” in IEEE International Conference on Fuzzy Systems, 2011.

b) “A robust fuzzy mathematical programming model for the closed-loop supply chain network design and a whale optimization solution algorithm,” Expert Systems with Applications, 2019.

 

6) Why has Riemann-Liouville derivative been selected to compute the fractional-order derivatives? There are other methods that could be used. It should be justified.

 

7) What shape are the membership functions? How to compute the values of the membership functions? Any difference with rational-order systems?

Author Response

Please see the attached file.

Author Response File: Author Response.pdf

Reviewer 2 Report

The topic is interesting and it is adapt to this journal. The collaboration among several faculties is useful and I think that there is a great work behind the presentation of this work. However, while the presentation is nice in shape, there are few comments and/or suggestions to improve the manuscript.

 

-The text editing of the entire manuscript is incorrect, this must be agreed with the Applied Sciences editors.

 

-According to scientific standards, abbreviations cannot be used in the abstract, please correct it in the manuscript.

 

-Clarify better the innovation of this work in the abstract and in the main text.

 

-Read articles to understand the structure of Applied Sciences. The following structure would be preferable based on the Applied Sciences Microsoft Word template file: 1. Introduction (1.1, 1.2, 1.3.), 2. Materials and Methods (2.1, 2.2., 2.3.), 3. Results and Discussion (3.1, 3.2, 3.3), 4. Conclusions. These sections mixed in the text. The introduction section is a literary review of the topic.

https://www.mdpi.com/journal/applsci/instructions

 

-Please search references to the equations. Equations should always be accurately and clearly referenced.

 

-Please add more information's about the model validation in a new chapter.

 

-Extend the conclusion with more general usability. What are the benefits of the results in a global context? Please explain this better in the manuscript.

 

-At the end of the study need to create a nomenclature table with units.

Author Response

Please see the attached file.

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

The authors have addressed my comments properly. I think the manuscript is publishable in the present form.