Thank you for explanation. If the ship is very slow, then 'internal mode control' is very effective to supress the swing of deck . If the ship is very fast, the situation might be much more sophisticated I guess. Sorry I cannot help you more.
I am not familiar with surface effect ships but if the porblem can be written as a non-linear ODE control systems, then our CPWL technique is suitable. Please let me know if you are interested to go into further details.
A Surface Effects Ship (SES) is one of several types of vessel that rides on a bubble of trapped air to both reduce drag and achieve remarkable speeds for size (e.g. 80Knts). The air is trapped between two hard sides, with a flex curtains fore and aft. It was of several concepts extensively studied by the USN -- in 70s -- as means to achieve the concept of an "80Knot-Navy." There is a lot of occl. motion to control when underway, and when control systems place this above 1-Hz then a lot of human vibration related effects, but when below (particularly near 0.2Hz) then nasty motion-sickness. TA relatively early and more recent discussion are in Kaplan, P., Bentson, J., & Davis, S. (1981). Dynamics and Hydrodynamics of surface-effect ships. SNAME Trans, 89, 211-247 and Basturk, H. I., & Krstic, M. (2013). Adaptive wave cancelation by acceleration feedback for ramp-connected air cushion-actuated surface effect ships. Automatica, 49(9), 2591-2602. With a little research, you will find there has been a resurgence of interest in SES in context of augmented two-hulled cat. designs.
ALVAH
PS SES ride off bubble and very slow under high-seas and then size and weight are can be important to resultant ride.
PS Not sure if there might be some confusion with another concept, the SWATH ... which though not fast, which is a relatively wonderful ride nasty sea-states.