Title: A Minimum-propellant Pontryagin-based Nonlinear MPC for Spacecraft Rendezvous in Lunar Orbit: the Extended Version Show Chinese title

Title: 基于最小推进剂的庞特里亚金非线性MPC用于月球轨道航天器对接：扩展版本

Abstract: We propose a Nonlinear Model Predictive Control approach to spacecraft rendezvous in non-Keplerian Lunar orbits. The approach is based on the Pontryagin Minimum Principle and allows the accomplishment of minimum-propellant maneuvers. The relative motion between the chaser and the target is described by the nonlinear and unstable dynamics of the circular restricted three body-problem. In the proposed formulation, we design a minimum-propellant controller, which leads to a bang-bang behavior of the control signal. Under suitable assumptions, simplified dynamics is employed as prediction model, in order to reduce the complexity of the controller algorithm but, at the same time, without penalizing the controller tracking performance. The proposed approach's effectiveness is validated by a simulation example. Show Chinese abstract

Abstract: 我们提出一种非线性模型预测控制方法，用于非开普勒月球轨道中的航天器会合。 该方法基于庞特里亚金最小原理，允许完成最小推进剂的机动。 追踪器与目标之间的相对运动由圆型限制三体问题的非线性和不稳定的动力学描述。 在所提出的公式中，我们设计了一个最小推进剂控制器，这会导致控制信号出现开关行为。 在适当的假设下，采用简化的动力学作为预测模型，以降低控制器算法的复杂性，同时不会影响控制器的跟踪性能。 所提出的方法的有效性通过一个仿真示例进行了验证。