Title :
On the duality between gain and frequency
Author_Institution :
University of Waterloo, Waterloo, Ontario, Canada
Abstract :
Using a matrix pencil representation for linear time-invariant multivariable systems, the well-known duality between closed-loop characteristic frequencies as a function of scalar gain and open-loop characteristic gains as a function of scalar frequency is demonstrated in an elementary way. This demonstration shows the duality between root-locus and frequency-domain design techniques and is extended to show that a feedback gain matrix has a natural dual frequency matrix.
Keywords :
Differential equations; Eigenvalues and eigenfunctions; Feedback; Frequency; Linear matrix inequalities; Poles and zeros; Rain;
Conference_Titel :
Decision and Control including the Symposium on Adaptive Processes, 1979 18th IEEE Conference on
Conference_Location :
Fort Lauderdale, FL, USA
DOI :
10.1109/CDC.1979.270130
