International Journal of Aeronautical and Space Sciences

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
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Trajectory Optimization for a Supersonic Air-Breathing Missile System Using Pseudo-Spectral Method

  • Park, Jung-Woo (Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology) ;
  • Tahk, Min-Jea (Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology) ;
  • Sung, Hong-Gye (The School of Aerospace and Mechanical Engineering, Korea Aerospace University)
  • Published : 2009.05.30
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Abstract

This paper deals with supersonic air-breathing missile system. A supersonic air-breathing missile system has very complicated and incoherent thrust characteristics with respect to outer and inner environment during operation. For this reason, the missile system has many maneuver constraints and is allowed to operate within narrow flight envelope. In this paper, trajectory optimization of the missile is accomplished. The trajectory optimization problem is formulated as a discrete parameter optimization problem. For this formulation, Legendre Pseudo-Spectral method is introduced. This method is based on calculating the state and control variables on Legendre-Gauss-Lobatto (LGL) points. This approach helps to find approximated derivative and integration quantities simply. It is shown that, for this trajectory optimization, trend analysis is performed from thrust characteristics on various conditions so that the trajectory optimization is accomplished with fine initial guess with these results.

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Cited by

  1. Nonlinear Adaptive Velocity Controller Design for an Air-breathing Supersonic Engine vol.13, pp.3, 2012, https://doi.org/10.5139/IJASS.2012.13.3.361