Modelling and Control of Longitudinal Vibrations in a Radio Frequency Cavity
Round 1
Reviewer 1 Report
Comments and Suggestions for Authors1. The abstract can be enhanced by capturing the main results and the significance.
2. A survey of existing literature is not sufficient. It would be useful to include in the Introduction of the paper some discussion on other possible real applications of the obtained results.
3. What are the main contributions of the paper compared with other previous related works? What is new in your study? The contribution is not clearly indicated. The contribution has to be stated in points.
4. At the end of the introduction section, the author must add a paragraph that describes the paper's organization.
5. All the equations have been mentioned without citations.
6. All figures have to be improved in resolution.
7. Figure 2 should be included on the same cited page.
8. The block diagram of the controlled system has to be put in to explain the control mechanism. Figure (2) does not show the whole control scenario. Discussion for it is also recommended.
9. The conclusion is lengthy and descriptive and it has been abbreviated and the concluded points have to be clearly stated. In addition, the improvement percentages have to be numerically reported, and a future section has to be added.
Comments on the Quality of English LanguageThe English writing is a point that could be improved.
Author Response
Dear Reviewer,
We appreciate the time and effort you and other reviewers have dedicated to providing valuable feedback on the manuscript. We are grateful to the reviewers for their insightful comments on our paper. We have incorporated changes to reflect all of the suggestions provided by the reviewers.
Here is a point-by-point response to the reviewers' comments and concerns. Additions to the original manuscript are indicated in blue. All page numbers refer to the revised manuscript file.
- The abstract can be enhanced by capturing the main results and the significance.
Author's response: Thank you for your valuable feedback on our paper. The abstract has been changed to better highlight the main results and significance.
- A survey of existing literature is not sufficient. It would be useful to include in the Introduction of the paper some discussion on other possible real applications of the obtained results.
Author's response: Thank you for your constructive feedback on our paper. We acknowledge the importance of a comprehensive literature review. We have provided 29 references and cited them in the introduction section.
- What are the main contributions of the paper compared with other previous related works? What is new in your study? The contribution is not clearly indicated. The contribution has to be stated in points.
Author's response: Thank you for this comment. We have modified the introduction section to address the above comment by adding the following sentence “As such the contribution of this paper is developing an observer-based controller that relies on measurement of end-point positions and testing it using an ANSYS model.” We have also reorganized the introduction for better readability.
- At the end of the introduction section, the author must add a paragraph that describes the paper's organization.
Author's response: Done.
- All the equations have been mentioned without citations.
Author's response: The equations are derivations based on our work and thus references are provided when they are taken from other works (other than book-type material).
- All figures have to be improved in resolution.
Author's response: Done.
- Figure 2 should be included on the same cited page.
Author's response: Done.
- The block diagram of the controlled system has to be put in to explain the control mechanism. Figure (2) does not show the whole control scenario. Discussion for it is also recommended.
Author's response: Further explanation of the block diagram is provided at the end of section 4.5 (before section 5).
- The conclusion is lengthy and descriptive and it has been abbreviated and the concluded points have to be clearly stated. In addition, the improvement percentages have to be numerically reported, and a future section has to be added.
Author's response: We have revised the conclusion to address the above points.
Author Response File: 
Author Response.pdf
Reviewer 2 Report
Comments and Suggestions for AuthorsThis manuscript presents the “ Modelling and Control of Longitudinal Vibrations in a Radio Frequency Cavity” and this topic of the manuscript is interesting. Please check as following comments and hope helpful for improvement of the manuscript.
1.The research results can be detailed in the abstract with more sentences and also provide more quantitative data to assist readers in understanding main contributions quickly.
2.Please consider what modeling uncertainties and environmental disturbances in the dynamic modeling.
3.Please indicate how to eliminate the influences of modeling uncertainties and environmental disturbances in your controller design.
4.Please indicate how robustness under environment disturbances and modeling uncertainties in your research.
5.Please compare with more researches to clarify the optimization of this proposed research.
6.Please consider modeling uncertainties and environmental disturbances in your experiment and simulation studies.
7.Please provide a close-loop control diagram for this study. This diagram can assist readers in understanding overall control structure quickly.
8.Please provide more explanations of the conclusion from corresponding studies. It is very important to show key value of this research.
Author Response
Dear Reviewer,
We appreciate the time and effort you and other reviewers have dedicated to providing valuable feedback on the manuscript. We are grateful to the reviewers for their insightful comments on our paper. We have incorporated changes to reflect all of the suggestions provided by the reviewers.
Here is a point-by-point response to the reviewers' comments and concerns. Additions to the original manuscript are indicated in blue. All page numbers refer to the revised manuscript file.
- The research results can be detailed in the abstract with more sentences and also provide more quantitative data to assist readers in understanding the main contributions quickly.
Author's response: We acknowledge your point about the abstract needing more detailed research results. We have revised the abstract to provide a more comprehensive overview of our findings, ensuring that the main contributions are highlighted more specifically.
- Please consider what modeling uncertainties and environmental disturbances in the dynamic modeling.
Author's response: Thank you for this comment. While modelling uncertainties and environmental disturbances are important, they have not been the subject of this study. The paper presents a model-based approach using a Lyapunov-based approach (see equation (50)). If control gain is selected large enough, it can lead to more robustness due to making the time derivative of Lyapunov function more negative.
- Please indicate how to eliminate the influences of modeling uncertainties and environmental disturbances in your controller design.
Author's response: Please see response to 2 above.
- Please indicate how robustness under environment disturbances and modeling uncertainties in your research.
Author's response: Please see response to 2 above.
- Please compare with more researches to clarify the optimization of this proposed research.
Author's response: The reviewer's comment on "optimization" lacks clarity for us, as we believe we have incorporated all pertinent references within the paper.
- Please consider modeling uncertainties and environmental disturbances in your experiment and simulation studies.
Author's response: This comment is the same as 2. Please see the response to 2 above.
- Please provide a close-loop control diagram for this study. This diagram can assist readers in understanding overall control structure quickly.
Author's response: Thank you for your comment. A closed loop control diagram is provided in Figure 2. We have revised the caption to address the above comment.
- Please provide more explanations of the conclusion from corresponding studies. It is very important to show key value of this research.
Author's response: Thank you for your valuable feedback. In the revised conclusion section, we have provided additional information on the significance of our research and highlighted the key values derived from the corresponding studies.
Author Response File: Author Response.pdf
Reviewer 3 Report
Comments and Suggestions for AuthorsThe manuscript ``Modelling and Control of Longitudinal Vibrations in a Radio Frequency Cavity’’ is devoted to both theoretical and numerical analysis of Radio frequency cavities in Electron Linear Accelerators. The authors made mathematical analysis based on second Newton’s law and obtained characteristic equations for cavity oscillations. Moreover, the authors have conducted quite complicated numerical analysis using ANSYS software. The manuscript makes a good impression. The abstract and conclusions are well written. The figures are presented in good quality.
Despite the obvious advantages of the work. There are some shortcomings in the text that need to be corrected.
1. Line 42 is missing a space.
2. In equation (6) the values of Phi_n and delta_n with index n are introduced. But little further in (7), these functions does not contain the index n. Which definition of functions is correct? The authors should clarify this.
3. Line 86 is missing indentation.
4. Authors use term ``constant variables’’ in 88 line. This unfortunate term should be changed to ``constants of integration’’.
5. The formula after line (108) should be written in one line. This remark also applies to formulas (20) and (62).
6. Is the superscript T a matrix transpose? This symbol must be deciphered.
Comments on the Quality of English LanguageEnglish is relatively well.
Author Response
Dear Reviewer,
We appreciate the time and effort you and other reviewers have dedicated to providing valuable feedback on the manuscript. We are grateful to the reviewers for their insightful comments on our paper. We have incorporated changes to reflect all of the suggestions provided by the reviewers.
Here is a point-by-point response to the reviewers' comments and concerns. Additions to the original manuscript are indicated in blue. All page numbers refer to the revised manuscript file.
- Line 42 is missing a space.
Author's response: Done.
- In Equation (6) the values of Phi_n and delta_n with index n are introduced.But little further in (7), these functions does not contain the index n. Which definition of functions is correct? The authors should clarify this.
Author's response: Thank you for your insightful comments and for bringing attention to the discrepancy in the notation between equations (6) and (7). We appreciate your careful review of our manuscript.
The indices Φn in Equation (6) were introduced to clarify the general form of the functions Φn and δn. However, in Equation (7), we should have explicitly mentioned that the functions are evaluated at a specific n corresponding to the context of the discussion. We have modified the paper to address the above comment.
- Line 86 is missing indentation.
Author's response: Thank you for your careful review of our manuscript. We have revised the manuscript accordingly; the corrected version is attached to this response.
- Authors use term ``constant variables’’ in 88 line.This unfortunate term should be changed to ``constants of integration’’.
Author's response: We have made necessary changes to replace "constant variables" with "constants of integration".
- The formula after line (108) should be written in one line. This remark also applies to formulas (20) and (62).
Author's response: Done.
- Is the superscript T a matrix transpose? This symbol must be deciphered.
Author's response: Done (see “where T represents the transpose operator” after equation (18)).
Author Response File: Author Response.pdf
Round 2
Reviewer 2 Report
Comments and Suggestions for AuthorsThanks for your rely.
Author Response
Thank you.
