Libration point orbits around collinear points present numerous properties which are worthwhile for space missions. Because orbits around these points are exponentially unstable, station-keeping strategies aim for periodic motion.This paper considers the problem of Lagrangian point stabilisation in the Sun-Jupiter system with non-ideal solar sail and albedo effect. Energy shaping and dissipation injection are used to stabilize the Lagrangian points, which are originally unstable. Through shaping of Hamiltonian (energy) and dissipation injection at the designed equilibrium point, we obtained that a closed-loop system is stable and asymptotic stable respectively. We discover that the orbits are stable under port- Hamiltonian control using best fit results.

围绕共线点的天平点轨道呈现出许多值得用于太空任务的特性。由于围绕这些点的轨道是指数不稳定的，所以站位保持策略的目标是周期性运动。本文考虑了具有非理想太阳帆和反照率效应的太阳-木星系统中的拉格朗日点稳定问题。能量整形和耗散注入用于稳定原本不稳定的拉格朗日点。通过在设计的平衡点对哈密顿量（能量）和耗散注入进行整形，我们分别得到一个闭环系统是稳定的和渐近稳定的。我们发现轨道在端口哈密顿控制下使用最佳拟合结果是稳定的。