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Structural Instability and Minimal Realizations
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DOI：10.1109/TAC.2010.2041981.png)
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Abstract
En 中文
In this note, we consider the structural stability of an unstable plant, feedback stabilized by a controller. It is shown that infinitesimal parameter perturbations in the plant transfer matrix can destabilize the stable feedback control system obtained from a minimal realization of the nominal plant. The remedy for such structural instability consists in using a minimal realization in which the dimension of the antistable part is maximized over the uncertain parameter values. This requires knowledge of the correct class of parametrizations to which the nominal plant transfer matrix belongs.
Keywords:
Feedback stabilization
minimal realizations
parameter uncertainty
structural stability
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7
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1.3W
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