On a cost functional for H/sub 2//H/sub infinity / minimization

摘要

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/sub infinity /-norm bounded system, this cost functional also overbounds the H/sub 2/ 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.