Optimal terminal-time determination for the ZEM/ZEV feedback guidance law with generalized performance index

  • Jaemyung AhnEmail author
  • Pengyu Wang
  • Yanning Guo
  • Bong Wie
Research Article


This paper investigates a problem of determining the optimal terminal-time or time-to-go of the ZEM/ZEV (Zero-Effort-Miss/Zero-Effort-Velocity) feedback guidance law for a variety of orbital intercept or rendezvous maneuvers. A generalized ZEM/ZEV guidance problem, whose objective is to minimize a combination of the control energy and terminal time, is examined. Algebraic equations whose solution provides the optimal terminal-time of the orbital intercept/rendezvous problems are derived based on the optimal control theory. The effectiveness of the proposed approach is demonstrated for various orbital maneuver problems.


Zero-Effort-Miss/Zero-Effort-Velocity (ZEM/ZEV) optimal feedback guidance terminal-time determination intercept rendezvous 



This work was prepared under a research grant from the National Research Foundation of Korea (NRF-2013M1A3A3A02042461). The authors thank the National Research Foundation of Korea for the support of this research work.


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Copyright information

© Tsinghua University Press 2019

Authors and Affiliations

  • Jaemyung Ahn
    • 1
    Email author
  • Pengyu Wang
    • 2
  • Yanning Guo
    • 2
  • Bong Wie
    • 3
  1. 1.Department of Aerospace EngineeringKAISTDaejeonRepublic of Korea
  2. 2.Department of Control Science and EngineeringHarbin Institute of TechnologyHarbinChina
  3. 3.Department of Aerospace EngineeringIowa State UniversityAmesUSA

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