Title :
On a cost functional for H2/H∞ minimization
Author :
MacMartin, Douglas G. ; Hall, Steven R. ; Mustafa, Denis
Author_Institution :
Dept. of Aeronaut. & Astronaut., MIT, Cambridge, MA, USA
Abstract :
A cost functional is proposed and investigated which is motivated by minimizing the energy in a structure using only collocated feedback. Defined for an H∞-norm bounded system, this cost functional also overbounds the H2 cost. Some properties of this cost functional are given, and preliminary results on the procedure for minimizing it are presented. The frequency-domain cost functional is shown to have a time-domain representation in terms of a Stackelberg nonzero sum differential game
Keywords :
control system synthesis; frequency-domain analysis; game theory; optimal control; time-domain analysis; H∞ minimization; H∞-norm bounded system; H2 minimization; Stackelberg nonzero sum differential game; collocated feedback; energy minimization; frequency-domain cost functional; time-domain representation; Actuators; Cost function; Entropy; Equations; Frequency; H infinity control; Hip; Hydrogen; Load flow; Transfer functions;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203749
