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Reentry trajectory rapid optimization for hypersonic vehicle satisfying waypoint and no-fly zone constraints

Lu Wang, Qinghua Xing, and Yifan Mao   

  1. School of Air and Missile Defense, Air Force Engineering University, Xi’an 710051, China
  • Online:2015-12-25 Published:2010-01-03


To rapidly generate a reentry trajectory for hypersonicvehicle satisfying waypoint and no-fly zone constraints, anovel optimization method, which combines the improved particleswarm optimization (PSO) algorithm with the improved Gausspseudospectral method (GPM), is proposed. The improved PSOalgorithm is used to generate a good initial value in a short time,and the mission of the improved GPM is to find the final solutionwith a high precision. In the improved PSO algorithm, by controllingthe entropy of the swarm in each dimension, the typical PSOalgorithm’s weakness of being easy to fall into a local optimumcan be overcome. In the improved GPM, two kinds of breaks areintroduced to divide the trajectory into multiple segments, and thedistribution of the Legendre-Gauss (LG) nodes can be altered, sothat all the constraints can be satisfied strictly. Thereby the advantagesof both the intelligent optimization algorithm and the directmethod are combined. Simulation results demonstrate that theproposed method is insensitive to initial values, and it has morerapid convergence and higher precision than traditional ones.