Gain Scheduled Fault Detection Filter for Markovian Jump Linear System with Nonhomogeneous Markov Chain
, Jonathan M. Palma 2, Cecília F. Morais 3, Bayu Jayawardhana 4 and Oswaldo L. V. Costa 1
Round 1
Reviewer 1 Report
Comments for author File: 
Comments.pdf
Author Response
"Please see the attachment."
Author Response File: Author Response.pdf
Reviewer 2 Report
Including a glossary of terms at the end of the work is recommended since many acronyms are used.
In this study, several assumptions and mathematical restrictions must be explained, clarifying their contribution to the proposed objective.
All equations must be numbered, referenced, commented on, and explained before appearing in the text. Several equations have not been numbered.
A diagram of the states should be made explaining the transitions and the non-homogeneous characteristic visually.
It would be interesting to present the comparison with other methodological proposals for non-homogeneous MC.
Author Response
"Please see the attachment."
Author Response File: Author Response.pdf
Reviewer 3 Report
The paper 'Gain Scheduled Fault Detection Filter for Markovian Jump Linear System with non-homogeneous Markov chain' is an example of nicely written and well presented research work. Its central topic is the development and application of the Markovian framework in the case of nonhomogenous Markov systems. This field of science is rather demanding and intricate by its nature. However, the overall gain for industry and the society is always notable. In this regard, the authors present a mathematical model which is scientifically sounded and justified and also validated using Monte Carlo simulations. I only have two minor comments:
1. On page 6 - please, provide a readership with a sketch of the proof instead to pointing to ref [14] only.
2. The presented numerical example is rather simple and may be far from realistic requirements. Please, include some comments on that and point some possible methods how to deal with large-scale and transition-rich problems.
Author Response
"Please see the attachment."
Author Response File: Author Response.pdf
Round 2
Reviewer 1 Report
I have no further comments
