Task: Figure out how to enforce AS and NMP properties on DT filters without affecting the gain
- Dominant language
- Python
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Description
This issue concerns the method `_identify_uncertainty_upper_bound` as it appears in the module `src/dkpy/uncertainty_bound.py` in the branch `feature/22-add-equivalent-of-matlabs-ucover` as of the time of this post.
As it stands, the method does not handle discrete-time (DT) models. However, _most_ of the code present in this version is ready to handle them. The only exception is the portion enforcing the properties of asymptotic stability (AS) and nonminimum phase (NMP) on the final filter. This is easy to handle in the continuous-time (CT) case.
Is it possible to make a DT linear filter AS and NMP without affecting its gain?
A (possibly too obvious) solution would be to
- convert it to CT,
- enforce AS and NMP properties in CT, and
- convert it back to DT.
Would this work? Which discretization method would be appropriate?
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