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Fractal Fract
Volume 6
Issue 2
10.3390/fractalfract6020097
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Article
Peer-Review Record

Reduced-Order H∞ Filter Design for Singular Fractional-Order Systems

Fractal Fract. 2022, 6(2), 97; https://doi.org/10.3390/fractalfract6020097
by Ying Guo 1,2, Chong Lin 1,* and Bing Chen 1
Reviewer 1:
Samir Ladaci
Reviewer 2: Anonymous
Fractal Fract. 2022, 6(2), 97; https://doi.org/10.3390/fractalfract6020097
Submission received: 3 January 2022 / Revised: 27 January 2022 / Accepted: 3 February 2022 / Published: 10 February 2022
(This article belongs to the Special Issue Applications of Fractional Operator in Image Processing and Stability of Control Systems)

Round 1

Reviewer 1 Report

This paper investigates the problem of reduced-order H¥ filter design for singular fractional-order systems with order 0 < a < 1. This paper proposes a study of necessary and sufficient conditions for designs of both reduced-order H¥ filter and zeroth-order H¥ filter for singular fractional-order systems with order 0 < a < 1.

The paper is interesting and well presented. A minor revision could address the following points.

  • The state of the art regarding the problem of fractional order system models and reduced order should be developed further, certain related papers should be addressed,
  • Bourouba, S. Ladaci, A. Chaabi(2018)  Reduced order model approximation of fractional order systems using Differential Evolution algorithm Journal of Control, Automation and Electrical Systems 29:  1.  32–43
  • Saxena; V. Yogesh; P. P. Arya, Reduced-order modeling of commensurate fractional-order systems, 2016 14th International Conference on Control, Automation, Robotics and Vision (ICARCV), Phuket, Thailand, Nov, 2016.
  • The authors should explain the purpose of this reduction of order: Why? And at what amount? What is the price to pay for such modification in terms of precision and quality?
  • The main result seems to be well defined and demonstrated.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

Please see attached file.

Comments for author File: Comments.pdf

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

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