A New Anti-Windup Compensator Based on Quantitative Feedback Theory for an Uncertain Linear System with Input Saturation

Round  1

Reviewer 1 Report

The paper introduces a novel anti-windup compensator, after an extensive overview of the current status of the art, with special references to major works on the subject. All the topics have been illustrated satisfactorily and the document is wee-written. I have therefore no special comments on the text and the content.

However, from my point of view, it is missing an application of the method that could demonstrate its viability on a real structure, even simplified. This possible addition could further improve the manuscript.

Author Response

Please refer to the attached file.

Author Response File: Author Response.pdf

Reviewer 2 Report

The study is theoretical and numerical concerning feedback compensation strategies for uncertain linear systems with input saturation. Some modifications are required for the paper to achieve the archival quality necessary for acceptance and publication. In this sense, the authors are requested to consider the following comments:

·      The typos must be eliminated after a thorough revision of the manuscript.

·      Page 2, how the term DOF is defined?

·       Page 3, the definition of Eq. 3 is not clear. What is the exact evolution of N(A) with respect to A. 

·       Page 3, what is N in Eqs. (4), (5)….? The authors also need to explain in more details how the open loop gain is linked with the amplitude of the driving signal A? 

·       Page 3, Eq. (2) to Eq. (8) need to be revised in a way readers could digest. Additional explanations are required. 

·       How x in Eq. (8) is chosen for the derivation of AW controller in Eq. (10)?

·       How the feedback controller G is designed for the numerical study?

·       Will there be some performance degradation for the use of AW controller? The authors need to also address this point and show the degradation with respect to the uncertainty of the control plant and the AW controller.

Author Response

Please refer to the attached file.

Author Response File: Author Response.pdf

Reviewer 3 Report

This paper proposes a new method to handle the nonlinear saturation of control actuator. The method is well derived with adequate simulation verification. The reviewer has following minor comments:

1. add a physics background to the illustrating example to help readers better visualize the control problem 

2. Explicitly provide nominal CL controller for the illustrating example

3. please refine the quality of figures.

Author Response

Please refer to the attached file.

Author Response File: Author Response.pdf

Round  2

Reviewer 2 Report

The authors have addressed the comments and improved the paper. It is now accepted for publication.