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针对轨迹优化问题中动力学方程对凸优化方法的限制,建立了有限推力远程转移轨迹优化问题的凸优化问题模型,并提出一种迭代逼近算法,使得在每步迭代中状态矩阵保持为线性,从而实现了凸优化在远程轨迹优化中的应用,仿真分析证明了所提出的迭代逼近算法对优化问题的收敛性,所得轨迹迅速收敛至最优轨迹,并与最优控制序列所得实际轨迹保持一致。本文构建的凸优化问题模型及提出的迭代逼近算法对这类远程轨迹优化问题是可行的。
Aiming at the limitation of convex optimization method of kinetic equation in trajectory optimization problem, a convex optimization problem model of finite-thrust remote transfer trajectory optimization problem is established. An iterative approximation algorithm is proposed to keep the state matrix linear in each iteration, So the application of convex optimization in remote trajectory optimization is realized. The simulation analysis proves the convergence of the proposed iterative approximation algorithm to the optimization problem. The obtained trajectory quickly converges to the optimal trajectory and is consistent with the actual trajectory of the optimal control sequence . The convex optimization problem model proposed in this paper and the proposed iterative approximation algorithm are feasible for such remote trajectory optimization problems.