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参数自适应凸优化下的月面着陆最优轨迹规划
Parameter-adaptive Convex Optimization for Lunar Landing Trajectory Planning
【摘要】 针对月面高精度下降着陆问题,提出了一种基于最优观测器的参数自适应凸优化月面着轨迹规划算法。首先,针对下降着陆主减速段需要尽可能减少燃料消耗的问题,考虑约束及动力学模型的非凸性,采用无损凸化技术将月面下降着陆问题转化为二阶锥规划问题;其次,为减少下降着陆过程中质量、比冲等参数不确定性影响,设计了基于Riccati方程的最优观测器;再根据标称参数凸优化所产生的最优轨迹进行飞行,利用该过程中加速度计实时测量信息,结合推力器输出信息,实现对着陆器参数的在线实时估计;在参数估计实现收敛后,通过在线求解二阶锥规划问题实现最优轨迹的在线规划。仿真结果表明,该观测器能够实现在线参数实时估计;该算法相较其他定点着陆算法,仅需要发动机具有离散的推力域,且具有精度更高的优势。
【Abstract】 A parametric adaptive convex optimization lunar landing trajectory planning algorithm based on the optimal observer is proposed for the lunar surface descent landing problem with high accuracy. Firstly, to address the need of minimizing fuel consumption in the main deceleration section of the descent landing, the lunar surface descent landing problem is transformed into a second-order cone planning problem by considering the constraints and the nonconvexity of the dynamical model using a lossless convexification technique; secondly, an optimal observer based on the Riccati equation is designed to reduce the influence of the uncertainty of parameters such as mass and specific impulse during the descent landing process; then the optimal trajectory generated according to the nominal parametric convex The optimal trajectory generated by the optimization is then flown, and the online real-time estimation of the lander parameters is achieved by using the real-time accelerometer measurement information in the process, combined with the thruster output information; after the convergence of the parameter estimation is achieved, the online planning of the optimal trajectory is realized by solving the second-order cone planning problem online. The simulation results show that the observer can achieve online parameter estimation in real time; the algorithm only needs the engine to have a discrete thrust domain compared with other fixed-point landing algorithms, and has the advantage of higher accuracy.
【Key words】 Lunar landing; Parameter uncertainty; Parameter adaptive; Convex optimization; Second order cone programming(SOCP);
- 【文献出处】 宇航学报 ,Journal of Astronautics , 编辑部邮箱 ,2023年11期
- 【分类号】V476.3
- 【下载频次】54