Displaying similar documents to “Parametrization of observer based compensators in the frequency domain”

Proper feedback compensators for a strictly proper plant by polynomial equations

Frank Callier, Ferdinand Kraffer (2005)

International Journal of Applied Mathematics and Computer Science

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We review the polynomial matrix compensator equation X_lD_r + Y_lN_r = Dk (COMP), e.g. (Callier and Desoer, 1982, Kučera, 1979; 1991), where (a) the right-coprime polynomial matrix pair (N_r, D_r) is given by the strictly proper rational plant right matrix-fraction P = N_rD_r, (b) Dk is a given nonsingular stable closed-loop characteristic polynomial matrix, and (c) (X_l, Y_l) is a polynomial matrix solution pair resulting possibly in a (stabilizing) rational compensator given by the...

Robust pole placement for second-order systems: an LMI approach

Didier Henrion, Michael Šebek, Vladimír Kučera (2005)

Kybernetika

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Based on recently developed sufficient conditions for stability of polynomial matrices, an LMI technique is described to perform robust pole placement by proportional-derivative feedback on second-order linear systems affected by polytopic or norm-bounded uncertainty. As illustrated by several numerical examples, at the core of the approach is the choice of a nominal, or central quadratic polynomial matrix.

Decoupling and pole assignment by constant output feedback

Konstadinos H. Kiritsis, Trifon G. Koussiouris (2002)

Kybernetika

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In this paper a system-theoretic approach is used to solve the decoupling in combination with the arbitrary pole assignment problem by constant output feedback and a constant nonsingular input transformation. Explicit necessary and sufficient conditions are given and a procedure is described for the determination of the control law.

Parametrization and reliable extraction of proper compensators

Ferdinand Kraffer, Petr Zagalak (2002)

Kybernetika

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The polynomial matrix equation X l D r + Y l N r = D k is solved for those X l and Y l that give proper transfer functions X l - 1 Y l characterizing a subclass of compensators, contained in the class whose arbitrary element can be cascaded to a plant with the given strictly proper transfer function N r D r - 1 such that wrapping the negative unity feedback round the cascade gives a system whose poles are specified by D k . The subclass is navigated and extracted...