State space modeling and active control of slosh

Abstract

The wave motion of fluids in finite containers, called slosh, is known to have adverse effects on the dynamics of aerospace vehicles and tanker trucks as well as on large storage tanks during earthquakes. This paper investigates slosh from an active feedback control perspective, and considers two possible active control methods for attenuating the response of the fluid to an external disturbance acceleration acting on the tank. The first method uses surface pressure control, whereas the second method uses a flap actuator on the surface of the fluid. In the first part of the paper we derive a state space model of slosh in a tank of rectangular cross section. This model is then used to design feedback controllers using LQG synthesis, and simulation results are presented to demonstrate closed-loop performance.

A robust control approach for suppression of container-slosh using output-feedback based on super-twisting algorithm

“…To overcome these issues, active control method of slosh control has been investigated, where very few efforts were reported. It includes bubble injection (Hara, 1994); surface pressure control (Venugopal and Bernstein, 1996); lyapunov control . Yano et al (2001Yano et al ( , 2002Yano et al ( , 2003 have given special consideration to the transfer on the three-dimensional (3D) transfer path as well as the suppression of sloshing (liquid vibration) while maintaining a high speed of transfer for the container.…”

Dynamics and Control of Three-Dimensional Slosh in a Moving Rectangular Liquid Container Undergoing Planar Excitations

“…However, the passive techniques add unnecessary weight and complexity to the overall system. A further solution addressed to slosh suppression is the implementation of the active control [8]. Some schemes use the container motion as the control input in a feedback control loop, such as proportional-integral-derivative control [9], sliding-mode control [10]- [13], H ∞ control [14], [15], and Lyapunov-based feedback control [16]- [18].…”

Modelling and Control of Space Vehicles with Fuel Slosh Dynamics

“…Results show that baffles are more effective when near the free-surface of the fluid. In (Venugopal & Bernstein, 1996), surface pressure control and surface flap actuators have been proposed for controlling slosh in rectangular tanks. The feedback controllers are designed using a Linear-Quadratic-Gaussian (LQG) synthesis.…”