Title :
On optimal compensation and the circle condition
Author :
Randall, R.L. ; Pearson, J.B.
Author_Institution :
Rice University, Houston, TX, USA
fDate :
10/1/1971 12:00:00 AM
Abstract :
A desirable property of an optimal system with full state feedback was shown by Kalman to be the satisfaction of a circle condition in the

plane where

is the loop gain function (return ratio) of the optimal system. This correspondence demonstrates that this property is satisfied by systems that are designed to be optimal using output feedback.
Keywords :
Circle stability criterion; Linear systems, time-invariant continuous-time; Optimal control; Asia; Computational efficiency; Control systems; Cost function; Linear systems; Output feedback; Regulators; State feedback; Weight control; Writing;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1971.1099790