Title :
Comparison between H2 and H∞ controllers
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
fDate :
8/1/1992 12:00:00 AM
Abstract :
The H∞ performances of a controller designed by H 2 methodology and a controller designed by H∞ methodology are quantitatively compared. It is shown that the ratio of the H∞ performance of the two is no greater than 2k for the one block problem, where k is the total number of right half plane transmission zeros for two subsystems namely the subsystem between the disturbance and the measurement and the subsystem between the control signal and the controlled output. It is also shown that there are systems which can give a ratio arbitrarily close to the upper bound. However, those systems are of a pathological type. Some possible generalizations to two- and four-block problems are discussed
Keywords :
control system synthesis; optimal control; poles and zeros; H∞ controllers; H2 control; right half plane transmission zeros; Control systems; Control theory; Filtering theory; H infinity control; Image analysis; Optimal control; Pathology; System performance; Transfer functions; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
