The real-time and fuel-optimal powered descent guidance is one of the critical technologies for planetary landing. This work focuses on the powered descent guidance algorithm based on pseudospectral convex optimization and aims to increase the accuracy and adaptability of the algorithm. The entire powered descent process is divided into phases according to the thrust switching times, and the pseudospectral method is adopted to discretize the optimization problem. Convexification process is performed to transform the optimization problem into a convex programming problem, and a successive solving process algorithm is proposed. For the established multi-phase pseudospectral convex optimization formulation, the indirect method is adopted to derive and determine the optimal phase division from switching function, and the adaptive multi-phase pseudospectral convex optimization method is proposed. Numerical examples demonstrate that the proposed method has excellent accuracy and adaptability.

实时且燃料最优的动力下降指导是行星着陆的关键技术之一。这项工作集中在基于伪谱凸优化的动力下降制导算法上，旨在提高算法的准确性和适应性。根据推力切换时间将整个动力下降过程分为多个阶段，并采用伪谱方法离散化优化问题。进行凸化处理，将优化问题转化为凸规划问题，提出了一种连续求解算法。对于已建立的多相伪谱凸优化公式，采用间接方法从切换函数中推导和确定最优相分；提出了一种自适应多相伪谱凸优化方法。数值算例表明，该方法具有很好的准确性和适应性。