Sharif Digital Repository

Fuel sloshing plays a direct and pivotal role in the tracking control tasks of liquid-propellant satellites. To address this problem, existing works have considered some simplifying assumptions on fuel motion, such as fuel rigidity and potential ideal fluid. On the other hand, most studies have used the ODE discretized model-based control schemes to stabilize the infinite-dimensional satellite-fuel system, which can cause spillover instability and lead to a significant loss of accuracy. To overcome these issues, we generally solve the PDE-based control problem for rigid bodies with partially liquid cavities. In this regard and based on the governing PDEs of the liquid motion, the...