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Problém řízení H_2 pro deskriptorové systémy
Kučera, Vladimír
A solution of the H_2 control problem is presented for linear descriptor systems. The solution proceeds in two steps. Firstly, the set of all controllers that stabilize the control system is parametrized. The mathematical tool applied are doubly coprime, proper stable factorizations of rational matrices. The factors are expressed in terms of stabilizing descriptor feedback and output injection gains, which represent degrees of freedom that can be used in the subsequent optimization.
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Polynomial matrices, LMIs and static output feedback
Henrion, Didier ; Kučera, V.
In the polynomial approach to systems control, the static output feedback problem can be formulated as follows: given two polynomial matrices D(s) and N(s), find a constant matrix K such that polynomial matrix D(s)+KN(s) is stable. In this paper, we show that solving this problem amounts to solving a linear matrix inequality with a non-convex rank constraint.
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