The movement of the liquid inside the container, known as sloshing, is usually undesired. Thus, there is the necessity to keep under control the peaks that the liquid free-surface exhibits during motion. This paper aims at providing a solution for suppressing sloshing liquid in horizontally moving cylindrical container. After introducing equivalent discrete models based on a mass-spring-damper system introduced by the literature (non-linear model), the identification and utilization of flat outputs is presented to generate rest-to-rest trajectories in sloshing liquid systems, which is ensure the equilibrium of the sloshing height at both initial and final points. Moreover, a sliding-mode controller is described to solve the trajectory tracking problem. The effectiveness of the proposed approach is demonstrated through numerical simulations comparisons with a model predictive controller (MPC). This research contributes to the advancement of control techniques for anti-sloshing technology systems, enabling enhanced stability, performance, and safety in various engineering applications.
Keyword
sloshing, flat output, rest-to-rest trajectory, sliding-mode control, model predictive control
