Discrete Linear Quadratic Regulator

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

An optimal control strategy based on discrete dynamics. It constructs a quadratic performance index from state deviations and control increments, then solves the Riccati equation recursively to obtain the optimal feedback gain matrix. In station-keeping, DLQR gains can be pre-computed and stored, and the infinite-horizon form requires only current-segment information.

Application Value

This term has significant practical applications in cislunar mission planning and execution.

  • Hidden-Genes Genetic Algorithm, HGGA
  • Variable-Size Design Space, VSDS
  • Station-Keeping
  • Target Point Method

References

  • Zhang et al., 2022
  • Lian et al., 2014
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Contributors: ouyangjiahong, Ou Yang Jiahong