### 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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