This paper presents the mathematical modeling, guidance and robust control
synthesis of a highly maneuverable submersible vehicle (or underwater vehic
le) when performing st specific mission at shallow submergence conditions.
First, the vertical plane motions (heave and pitch) of the vehicle are mode
led by a set of maneuvering equations. After model simplification, a state
space model is compactly obtained. Then a state-feedback controller is prop
osed for the accurate depth-keeping and pitch motion controls of the vehicl
e. The control actions to the generalized plant can be provided by the mixe
d H-2/H-infinity optimal synthesis as well as closed-loop pole constraint w
ith LMIs. The feasibility of the guidance and control approach is verified
with direct numerical simulations. The proposed approach ensures reasonable
depth-keeping and minimal pitch motions, even under a given uncertainty co
ndition.