Entry trajectory genetic algorithm optimization using legendre pseudospectral method

An entry trajectory genetic algorithm optimization strategy using Legendre pseudospectral method has been proposed in this paper. Firstly, equations of motion have been normalized and an independent variable has been introduced for optimization to reduce the difficulty of iterative computation. And then, optimal control problem was transformed to nonlinear programming problem by Legendre pseudospectral method. Finally, according to sensitivity of the initial value deterministic methods for nonlinear programming problem, the improved genetic algorithm with global searching ability was presented for solving the nonlinear programming problem. A numerical example was given, and the simulation results show this method is effective.