Slack Variable

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

An auxiliary variable introduced in nonlinear programming to convert inequality constraints into equality constraints. In multiple shooting, a slack variable transforms the positivity constraint T>0 on flight time into T-β²=0.

Application Value

Slack variables transform inequality constraints into equality constraints in nonlinear programming, enabling efficient solution of trajectory optimization problems.

References

  • 张晨和张皓 - 2022 - 基于月球借力的低能DRO入轨策略
  • Acikse和Ploen - 2007
Improve this page
Last Updated:
Contributors: ouyangjiahong, Ou Yang Jiahong