Below you may find some links to web resources dedicated to fractional-order calculus and its applications. If you would like to see a link to your fractional calculus related web resource here, please send an e-mail to alex@starspirals.net
General links
- Dr. YangQuan Chen’s Fractional-order Calculus pages
- Journal of Fractional Calculus and Applied Analysis
- Fractional Calculus Modeling
6 Comments
Dear Aleksei
I appreciate your efforts for designing such a magnificent toolbox. Could you please tell how you utilized filtfilt command in identification of thermal system, example 6.2.2 of tour thesis. In fact, I am working on fractional system identification of electrical furnace, and the problem is here that the error signal is very noticeable, the difference between integer system and fractional one. It came in my mind that the input data had been ‘detrend’ed in MATLAB. When I was trying to consist ‘fidata’, there is no ‘detrend’ procedure, so my conclusion is that that is the source of this noticeable error.
thanks in advance
Here are two points.
1.
filtfiltwas used to remove the noise from the measurement. This is not, strictly speaking, necessary.2. In the identification procedure we assume, that the state is initially zero. So if there is an offset (e.g. environment temperature), it should be removed, but, of course, considered in the model!
Dear Aleksei
Do you have any example(s) of FOID for power electronics – Boost, Buck or Inverter converter dynamic behaviour (Bifurcation and Chaos mapping)?
I have seen your question in another comment thread, but did not have time to answer; No, I do not have any examples from this particular field yet. We have research plans covering this, though. Hopefully, you will see some updates soon.
More closely related to Complex Behavior in Switching Power Converters.
Dear Aleksei
How to convert Oustaloup approximated transfer function into first order plus time delay model