Based on Singular_value_decomposition:

Non-degenerate singular values always have unique left- and right-singular vectors, up to multiplication by a unit-phase factor eiφ (for the real case up to a sign). Consequently, if all singular values of a square matrix M are non-degenerate and non-zero, then its singular value decomposition is unique, up to multiplication of a column of U by a unit-phase factor and simultaneous multiplication of the corresponding column of V by the same unit-phase factor. In general, the SVD is unique up to arbitrary unitary transformations applied uniformly to the column vectors of both U and V spanning the subspaces of each singular value, and up to arbitrary unitary transformations on vectors of U and V spanning the kernel and cokernel, respectively, of M.

The U and V are not the same between the host and cRIO under the same inputs:

Analyze the solutions in SVD.nb.

Useful reference: svd_rot.pdf

In the tests, I got the following error codes: 6088, 6060, 6053.

Please help to review the PRs:
1. https://github.com/lsst-ts/ts_mtm2_cell/pull/30
2. https://github.com/lsst-ts/ts_m2com/pull/33
3. https://github.com/lsst-ts/ts_m2gui/pull/40

The main issue in these PRs is to fix the rz calculation. The update in LabVIEW is the same as the calculation in mock_control_closed_loop.py in ts_m2com

Thanks!

Thanks Tiago's and Patricio's reviews in GitHub.