Particle Filter State Transition Function

Hi Everybody,

I am currently working on Battery Remaining Useful Life Prediction with Particle Filtering. I am usung stateEstumatorPF in Matlab. I think I need custom state transition and Measurement Likelihood Function. So far, I could not do it.

Battery model is Q=a*exp(b*k)+c*exp(d*k) Where Q: remaining capacity k: no of cycle a, b, c, d: state parameter

For more info please check https://www.mdpi.com/1996-1073/12/14/2784/htm

I hope somebody can help me.