Control of Longitudinal Motion for Under Water High Speed Supercavitating Vehicles

For the control design of the high-speed supercavitating vehicles, the H
_∞
control is proposed and this H
_∞
performance requirement is analyzed in the paper. The H
_∞
performance requirement lead to the problem of selection of weights on the state variables and control inputs. A comprehensive solution to this weight selection problem is presented. And the unit weighting H
_∞
control was comparisoned in the paper. Simulation shows general unit weighting coefficient design of H
_∞
control doesn't work in this special problem. This H
_∞
design methodology can also be used for other H
_∞
problem as well.