I work in control and the following problem stumbled at me: Given to matrices N and D, obtain matrices Q and R to hold N = Q*D + R.

This solution allows to find compensator/observer pole allocation matrices.

I thank for the help.

  • $\begingroup$ $Q=0$ and $R=N$ does the trick. Presumably you want to impose some additional restrictions to make it less trivial. $\endgroup$ – Eric Wofsey Jun 26 at 22:45
  • $\begingroup$ Sure it holds. But assume N and D are such that $N D^{−1}$ is improper for some entries $\endgroup$ – Bruno Henrique Peixoto Jun 28 at 1:33

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