Physically-informed model discovery of systems with nonlinear, rational terms using the SINDy-PI method. Contains functionality for spectral filtering/differentiation.
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Cart+Pendulum, Identification from measurements #9
Symbolic equations for the chosen models:
The cart acceleration is apparently exploding because of the denominator constant term being smaller than the cos^2 term.
Forcing signal extremely noisy - must be filtered![image](https://user-images.githubusercontent.com/55796835/118135019-d320ab80-b402-11eb-9136-9da19b4f6776.png)
Acceleration predictions![image](https://user-images.githubusercontent.com/55796835/118135799-b89b0200-b403-11eb-825a-0f9716a51eee.png)
Symbolic equations for the chosen models:
The cart acceleration is apparently exploding because of the denominator constant term being smaller than the cos^2 term.
Models:![image](https://user-images.githubusercontent.com/55796835/118136069-00ba2480-b404-11eb-827f-cec89bf52344.png)