Application of Non-uniform Parameterization Approach to Trajectory Optimization

In order to obtain the optimal glide project trajectory,the extend-range trajectory optimal model was established based on the partile trajectory model of guided projectile,the flight state constraint conditions and the objective function of maximum range.Accurate optimal trajectory can't be obtained by traditional uniform parameterization method.Aiming at this problem,the control horizon was divided into several time stages of varying lengths and the length of each time period was defined as optimization parameters.The glide project trajectory was optimized by time-scaling non-uniform parametric method combined with sequadratic programming.The simulation results show that,compared with traditional methods,the project trajectory designed by this approach has a farther range,a higher terminal speed and more advantages of ballistic performance.