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cnpcshangbo avatar cnpcshangbo commented on August 25, 2024

image
This is the continuous one.
image

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cnpcshangbo avatar cnpcshangbo commented on August 25, 2024

Now, lets add some samplers(sample time=0.3sec) and see.
image
image

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cnpcshangbo avatar cnpcshangbo commented on August 25, 2024

From this, we know that the continuous controller doesn't work for the sample-based system. Therefore, we should do something to convert the transfer function to z transfer function.

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cnpcshangbo avatar cnpcshangbo commented on August 25, 2024

Later, I found even if I convert the transfer function to z transfer function, the control performance doesn't get better. The way to get it better is to get the sampling period smaller.
image
purple: Ts=0.3
blue: Ts=0.1

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cnpcshangbo avatar cnpcshangbo commented on August 25, 2024

FOPD Ts=0.1
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image

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cnpcshangbo avatar cnpcshangbo commented on August 25, 2024

Conclusion: FOPD discretization is verified. The thing to get performance better is to use smaller Ts. We do not need to manually use c2d. The system can treat continuous tf and z tf the same.

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cnpcshangbo avatar cnpcshangbo commented on August 25, 2024

The system still has a bad behavior.
image
I am going to verify the z domain stability.

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