Here is another cool idea and technology
https://www.youtube.com/watch?v=n1ob816u2ec
If I ever get back to the ocean I will be saving my money to get one...
That is not the same. The input shaping is changing the target generator to take into account the vibration and cancel it out.
The wave stabilization is reacting to waves. This is common in water applications. There is a company called Pinfabb in Italy that retrofits cruise, container and other large ships using our controller. This is just a matter of keeping the gyro level.
https://www.fluidpowerworld.com/electrohydraulic-controls-improve-ship-stability/
Hopefully, in the not too distant future, that will be available on all/most servo controllers
We have not seen that much demand for it. The algorithm has a draw back. It adds one oscillation time to each motion. So if the object oscillates at 10 hz the the motion will take 100 ms longer. The extra time can be a production killer. It should only be used in single axis applications or where all the objects under control have objects that oscillate at the same frequency and in phase. The advantage this algorithm has is that it doesn't require a fancy motion generator.
We went the fancy target generator and control algorithm route.
https://deltamotion.com/peter/Videos/NF-FOA.mp4
The natural frequency is about 6.5 Hz so the period is about 0.15 seconds. This system was designed to be almost impossible to control without the proper algorithm. I attempted to tune the system using a PID with velocity and acceleration feed forwards. You can see it fails unless I reduce the gains or speeds. I then use our control algorithm and it works again.
A little history. I am pretty sure the input shaping was discovered by MIT in the late 1980s. In 1990 a MIT student came by trying to sell me a license to the technology. We didn't have the CPU power or time to spend on the technology but it opened my eyes. I knew how it was done. Years later I saw a doctoral thesis from the student that visited me. He is now a professor at GA Tech. I made a YouTube video about this
https://www.youtube.com/user/pnachtwey/search?view_as=subscriber&query=input
There are only 164 views after all this time. It is not a hot topic. If the video got a lot of views then I would be more inclined to add this to our product.
BTW, the most popular video is the one about combining a Smith Predictor with Sliding Mode Control. It has 2.1K views. It is too bad there aren't enough geek out there to like this stuff.