Publications:Comments on "A Revisit to the Gain and Phase Margins ofLinear Quadratic Regulators"

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Title Comments on “A Revisit to the Gain and Phase Margins ofLinear Quadratic Regulators”
Author Ulf Holmberg
Year 2001
PublicationType Journal Paper
Journal IEEE Transactions on Automatic Control
HostPublication
Conference
DOI http://dx.doi.org/10.1109/9.948488
Diva url http://hh.diva-portal.org/smash/record.jsf?searchId=1&pid=diva2:296798
Abstract In the above paper, an example is given, showing that the LQ controller gives an arbitrary small gain margin with respect to variations of the open-loop plant. As a remedy, a dynamic-state feedback is proposed which is claimed to give an arbitrary large gain margin. This is incorrect. In fact, the proposed dynamic state feedback controller does not even stabilize the nominal system.