Indirect Optimization

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A trajectory optimization approach that transforms the optimal control problem into a two-point boundary value problem using Pontryagin's Minimum Principle. Unlike direct methods that discretize state and control variables, indirect methods introduce co-state variables and derive control laws from analytical first-order necessary conditions, then solve the resulting BVP numerically. Advantages include strict optimality and high precision; disadvantages include narrow convergence domains and sensitivity to initial guesses.

  • Powered Explicit Guidance, PEG
  • Nonlinear Attitude Control
  • Terminal Guidance

References

  • Singh et al., 2021
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Contributors: ouyangjiahong, Ou Yang Jiahong