Direct Method

Author: Tianjiang Shuo Website: https://cislunarspace.cn

Definition

A trajectory optimization approach that discretizes the trajectory and control, converting the optimal control problem into a nonlinear programming problem. Less sensitive to initial guesses but may produce suboptimal solutions.

Application Value

In a linear quadratic optimal control framework, selecting appropriate weight matrices Q and R achieves a balance between tracking accuracy and control energy consumption, making it suitable for real-time control in cislunar orbit keeping.

References

• Zhang et al. - 2025 - Smoothing technique for indirect low-thrust trajectory optimization in cislunar space