Optimal planar interception with fixed end conditions: Closed-form solution

  • V. Y. Glizer
Contributed Papers


A planar constant-speed interception with prescribed end conditions is analyzed. The performance index is the time of capture penalized by the control energy. For this problem, the optimal control of the pursuer is obtained in closed form, based on solving a set of nonlinear algebraic equations involving elliptic integrals. The construction of the solution is inspired by the singularly perturbed structure of the nondimensional equations of motion.

Key Words

Planar interception fixed end conditions optimal control singular perturbations 


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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • V. Y. Glizer
    • 1
  1. 1.Faculty of Aerospace EngineeringTechnion-Israel Institute of TechnologyHaifaIsrael

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