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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2014, Vol. 35 ›› Issue (9): 2593-2604.doi: 10.7527/S1000-6893.2014.0094

• Electronics and Control • Previous Articles     Next Articles

Optimal Trajectory Design Under Uncertainty for a Gliding Guided Projectile

CHEN Qi1, WANG Zhongyuan1, CHANG Sijiang1, SHU Jingrong2   

  1. 1. School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;
    2. Department 2, Army Officer Academy, Hefei 230031, China
  • Received:2013-12-03 Revised:2014-05-07 Online:2014-09-25 Published:2014-05-16
  • Supported by:

    National Natural Science Foundation of China (11272356); China Postdoctoral Science Foundation (2013M541676)

Abstract:

Due to the limited control authority of a gliding guided projectile with tradeoffs between hardware and cost, a novel trajectory optimization method under uncertainty used to reduce the sensitivity of reference trajectories to various uncertainties is presented. The models of uncertainties that may be encountered in a real operating environment are established, and the analytic expression of the Jacobian for the glide guided projectile dynamics is derived, which can provide faster computational speeds in evaluations. The covariance propagation equation of the system is obtained by using covariance techniques, and the trajectory optimization model under uncertainties is also established. The Chebyshev pseudospectral method is implemented to transform the trajectory optimization problem into a nonlinear programming problem which is solved by an interior point filter line search algorithm package (Ipopt). The simulation results show that the proposed method has a good performance and could reduce the terminal downrange and crossrange covariance, compared with the baseline trajectory which is generated without any robustness considerations.

Key words: gliding projectile, uncertainty analysis, nonlinear model, trajectory optimisation, linear covariance, Chebyshev pseudospectral method

CLC Number: