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Parameterization of the full-order compensator in the frequency domain. (English) Zbl 0656.93017

It is shown that the free parameters specified by the state feedback matrix K and the output error feedback matrix L in the time domain appear as coefficients in the polynomial matrices \(\tilde D(s)\) and \(\tilde{\bar D}(s)\), characterizing the closed-loop dynamics in the frequency domain. Starting from the polynomial matrices \(\tilde D(s)\) and \(\tilde{\bar D}(s)\), the doubly coprime fractional representations of the system and of the compensator transfer matrices can be computed directly. From these representations, the right and left coprime compensator matrix fraction descriptions can easily be evaluated using standard algorithms.
Reviewer: E.Eitelberg

MSC:

93B25 Algebraic methods
93C05 Linear systems in control theory
93B15 Realizations from input-output data
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References:

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