Direct Collocation with Nonlinear Programming

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A method that discretizes a continuous optimal control problem into a finite-dimensional nonlinear programming problem. It approximates the state trajectory using interpolation polynomials such as Hermite-Simpson between nodes and solves using sequential quadratic programming (SQP).

Application Value

Direct Collocation with Nonlinear Programming plays an important role in orbital mechanics and mission planning, applicable for analyzing spacecraft motion characteristics and optimizing transfer trajectories.

Related Concepts

• Libration Point Orbit
• State Transition Matrix
• Six-Degree-of-Freedom
• Gauss Pseudospectral Method

References

Kayama 等 - 2022