Modelling ODE in Simulink when input multiplied by ouput

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aizo zeo
aizo zeo 2022-10-10
回答： Sam Chak 2022-10-10
Hi, so I have this hysteresis equation of a battery, this equation will be combined with other ODE (which could be easily modelled with transfer function) to generate a battery model
where h is the output and i is the input, sgn is the sign of i(t), and the rest are constant. I had tried to make a laplace transfer function and it is not working because the input multiplied by output (h multiplied by i). How can I model this equation in simulink? Could I make this equation in a discrete block and combine with continoues block at the same model?
Thank you

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回答（2 个）

Ghazwan
Ghazwan 2022-10-10
What you are looking for is available here
https://www.youtube.com/watch?v=_bzQ1Ws28cg
Sam Chak
Sam Chak 2022-10-10
Hi @aizo zeo
The given ODE cannot be modeled in the Laplace transform sense because it is a non-affine system due to the product term .
However, it can be modeled in continuous-time using the fundamental blocks like the following:

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