A visual feedback design on matrix space for a liquid sloshing experiment

In this paper, we discuss a new visual feedback system that does not use visual feature extraction. First, every image of a sloshing system is modeled not as a vector on coordinate space but as a vector on matrix space. Second, the sloshing system is identified by executing an existing modeling methodologies on the same matrix space. Finally, the identified model is converted into a linear port-Hamiltonian system and the horizontal surface is stabilized theoretically and experimentally.