T-S Fuzzy Model-Based Fault Detection for Continuous Stirring Tank Reactor
Round 1
Reviewer 1 Report
Interesting work. Needs minor changes to English syntax and grammar, as follows:
- Line 36: suggest changing "Upon the previous several decades.." to "During the past several decades.."
- Line 41-42: suggest "nonlinearity is a primary factor that impacts system performance.
- Line 43: suggest changing "huge" to "significant"
- Line 47: suggest changing "on" to "in"
- Line 49: suggest changing "great quantity" to "substantial amount"
- Line 50: suggest ".. reason that it can approach to any.."
- Line 54: suggest ".. the extensively research on controller and filter design problems with.."
- Lines 66-67: suggest ".. the FD problem has not yet received enough attention yet."
- Line 68: suggest changing "parameter" to "parameters"
- Line 94: suggest "approach to the mechanism model."
- Line 96: suggest ".. easier to be measured online.." to "..easier to measure online.."
- Line 134-135: suggest ".. a FD filter is constructed in the following expression is constructed"
- Line 223: suggest changing "exponentially stable" to "exponential stability"
- Line 283: suggest changing "middle" to "medium"
- Line 314: suggest changing "parameters uncertainty" to "uncertainty parameters"
- Line 321: suggest changing "At last.." to "Lastly.."
Author Response
Thank you very much for your time and efforts in reviewing our paper. We appreciate your useful comments, which will strengthen our work. We vevised as you suggested and all changes are highlighted in this version.
Author Response File: 
Author Response.docx
Reviewer 2 Report
This paper deals with fault diagnosis of Continuous stirring tank reactors (CSTR) using TS fuzzy filter.
The authors present a model of the CSTR with bounded parametric uncertainties, then the model is given in the form of a linear bounded state representation (equation 5) for the synthesis of the fuzzy TS filter (equation 6). The exponential stability of the filter is verified by a Lyapunov function (equation 13). The method is validated experimentally using a linear model with bounded parameters. The experimental results show the effectiveness of the proposed approach.
The paper is well written and easy to read and understand. The fuzzy TS filter is known in the literature, but the application proposed in this paper around an operating point of a complex system will be of interest to readers. The numerical model of the CSTR validated experimentally through the application is also interesting.
The paper can be improved by the following points:
1) How were the intervals of the parameter uncertainties found? This is an important point that needs to be detailed. If the authors quantified the measurement noise to go back to the intervals, it must be said. If they considered an interval as a percentage of the nominal value of the parameter without formal proof, so must be said too.
2) I am not a specialist in stability analysis, but I know that it is more common to analyze asymptotic stability than exponential stability. Why did the authors opt for exponential stability analysis in this work?
3) Parametric uncertainties that are already quantified in this paper can be used to generate normal operating thresholds for the evaluation of residuals. See for example. Fault prognosis based on physical and stochastic models. 2016 European Control Conference (ECC), 2269-2274.
4) The introduction of paper can be improved by review papers on diagnostics such as for example: A survey of fault diagnosis and fault-tolerant techniques; part i: fault diagnosis with model-based and signal-based approaches, IEEE Trans. Ind. Electron. 62 (6) (2015) 3757e3767.
A survey of fault diagnosis and fault-tolerant techniques; part ii: fault diagnosis with knowledge-based and hybrid/active approaches, IEEE Trans. Ind. Electron. 62 (6) (2015) 3768e3774.

Author Response
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Author Response File: Author Response.docx
Reviewer 3 Report
The paper studies the failure detection problem for continuous stirring tank reactors using Takagi-Sugeno fuzzy models.
In the last paragraph of the introduction section, it is not clear how this work is different from other previously published work.
It is also recommended to include at the end of the introduction a description of what has been covered in the other sections.
As shown in Figure 2, the membership functions are triangular. IS there any reason to choose this kind of function? How to determine the values of the functions?
The description of the design and analysis is not clear. Furthermore, there is no information on the experimental procedure.
Despite the above, simulation and experimental results need to be summarized in a table.
A more detailed conclusion on the results needs to be added.
Author Response
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Author Response File: Author Response.docx
Round 2
Reviewer 3 Report
Although improvements have been made to the document, a more detailed explanation of the results in figures 3 to 7 is recommended, as they only mention what they present but there is no proper analysis.
Author Response
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Author Response File: Author Response.docx
