For example, if I have to perform parameters estimation from system identification for the following differential equation:
(m-Xud)*u' = Xu*u + Xuu*|u|*u + Tu
where parameters to be estimated are Xud, Xu and Xuu. u' and u is acceleration and velocity respectively.
How we could efficiently measure the acceleration and velocity?
Dear Mad Helmi,
Here are some references that may help you in your research.
-Use It Free: Instantly Knowing Your Phone Attitude
www.ntu.edu.sg/home/limo/.../A3-MobiCom14.pdf
-android - How can I find the velocity using accelerometers only
stackoverflow.com/.../how-can-i-find-the-velocity-usi...
-Choosing the right sensor | Building Apps for Windows
https://blogs.windows.com/buildingapps/.../choosing-t...
Best regards
Dear Mad Helmi,
For your example, we can estimate only parameters Xu/(m-Xud) and Xuu/(m-Xud).
Dear Sergiy Prykhodko,
Thank you for the information. Can you suggest the best way to estimate the parameters? From your institution's name, I guest maybe you are familiar with this differential equation.
Dear Mad Helmi,
One well-known way is to use the Kalman filter. We usually use the generalized method of moments (GMM) for estimating parameters in non-linear stochastic differential equations.
Thank you Sergiy Prykhodko for your suggestion. I will study the suggested method.
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