Boundary controllability of a system modelling a partially immersed obstacle

In this paper, we address the problem of boundary controllability for one-dimensional nonlinear shallow water system, describing free surface flow as well under a fixed gate structure. The system differential equations considered can be interpreted simplified model particular type wave energy device converter called oscillating column. physical requirements naturally lead to exact in prescribed region. particular, use concept nodal profile which at given point (the node) time-dependent profiles states are required reachable by controls. By rewriting into hyperbolic with nonlocal conditions, first establish semi-global classical solutions then get local and using constructive method. addition, based on process, provide an algorithmic calculate control function generating solution solving these problem.