Pontryagin's Maximum Principle

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A fundamental theory of optimal control stating that the optimal control minimizes the Hamiltonian at each instant. When control variables are bounded, the optimal control typically takes values on the boundary of the control domain, forming bang-bang control.

Application Value

This control theory is of significant application value in attitude and orbit control of spacecraft in cislunar space. In practical missions, appropriate analysis methods must be selected based on specific mission scenarios and constraint conditions.

References

  • Song et al. - 2021
  • Grossi et al. - 2024
  • Conway - 2010 - Spacecraft trajectory optimization
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Contributors: ouyangjiahong, Ou Yang Jiahong