### On the standard H2 problem

* G. Meinsma
*

**Abstract**

This note presents frequency domain solutions of the standard MIMO
$\mathcal{H}_2$ problem and some non-standard $\mathcal{H}_2$
problems. In the standard case the results are equivalent to the
well known state space formulae. The non-standard case is a fairly
straightforward generalization of the standard case and relies on
factorizations over polynomial matrices and stable matrices. Also,
a frequency domain formulation of LQR is explored.

**Keywords:**
LQG control, LQR control method, *H2* control, frequency
domains, polynomial methods

**Pdf file:**
EUR-ROC0006.pdf

**Appeared in: **

Proc. Third IFAC Symposium on Robust Control Design. 6 pp. Prague, June
21-23, 2000. ISBN CD-rom

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