
My Masters thesis is titled,
"Real
time regime identification and non-linear control of chaotic bubbles under
the influence of electrostatic fields". We have identified
electrostatic fields as an additional bifurcation variable and this gives
a whole dimension to the control of chaotic bubbling (which has not been
successfully reported, as yet). We shall be attempting a control strategy,
which involves multi-variate control using both flow and voltage as the
two variables. The results thus far have proved to be extremely promising.
If successful, this will prove to be a landmark paper in the field of chaos
and potentially could be published in a science journal instead of engineering.
If done the conventional way, this project was extremely time-consuming. Each run took approximately 14 days to complete, and then data analysis took another 2 weeks. LabView was used to automate the entire experimental set-up and reduced the duration of each run to 4 days. Now in the same time period, more runs could be carried out, which meant huge volumes of data. Using MATLAB and data compression techniques, automated routines were generated to preprocess and compress data from each run by a factor of 4, reducing the file size from about 0.8GB to just 140 MB.. .
With enormous amounts of data on hand, efficient data analysis tools were required to analyze each data set. Those were created in MATLAB using the GUI utility extensively to create a toolbox for chaotic and non-linear time series analysis. This included file-handling capabilities and used a database to store all the required runs in a systematic orderly manner. Without the toolbox, several aspects of the data, which could only be observed with large sets of data, would have been lost to study. The data visualization tools often provided the Aha! needed for further research. This got my first publication out in just 1-½ months after the experiment was started. This also has gotten me interested in OLAP and database management. Finally, a primer to the bubble toolbox
is out. Click here..
To further improve the efficiency
of my experimental results, a real time method was needed to identify the
regime of the bubbling. This was where MSPC came in. I took a course in
advanced monitoring and diagnostic techniques in the summer ’99. Using
the data analysis techniques used in that course, a regression model was
developed. Non-linear PLS with neural networks was found to be the most
successful method. But the models’ success deteriorated as the regime went
from period one into chaos, i.e. as the non-linearity increased. Also,
the generalization properties were poor. This prompted research into neural
network models.
Because of only one measured variable, time embedding of the time series by delaying the signal was done for extracting information about other system variables. PCA carried out and this was then fed to a neural network, which identified the periodicity of bubbling. This neural network model allows the operator to know the exact time when the fault, (change in bubbling periodicity occurs). Now, we can explore every regime to its exact limits and establish the critical boundaries that will be needed for designing a controller for controlling chaos. At the same time, a self-adapting neural network was developed based on a Kohonen map. The highlight of this was that the model was self-learning and can be placed online with one clean training data set. It would then pick up any new patterns in the bubbling and remember them for future occurences. Though this started with
the aim of improving efficiency for the experimental runs, this has now
taken the form of a paper, which will soon be ready for publication.
Presently I am trying to tame chaotic bubbling processes with different control strategies. If successful, you can bet on my research team joining the whos' who list in chaotic circles! (No pun intended!!). Jokes apart, success in this experiment will warrant a paper in a scientific journal instead of an engineering journal!
Currently I am exploring
avenues on fuzzy logic, pattern recognition and
data
mining. Coupled with this I am also trying to market myself to
potential employers. So if you happen to know of somebody who wants to
hire a dynamic, enthusiastic and dedicated engineer, please click
here.
If you are looking for someone like me, all the better!
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