A new algorithm was developed for the initial parameters optimization of guided projectiles with multiple constraints. Due to the\r\nrelationship between the analytic guidance logic and state variables of guided projectiles, the Radau pseudospectral method was\r\nused to discretize the differential equations including control variables and state variables with multiple constraints into series\r\nalgebraic equations that were expressed only by state variables. The initial parameter optimization problem was transformed\r\nto a nonlinear programming problem, and the sequential quadratic programming algorithm was used to obtain the optimal\r\ncombinations of initial height and range to target for the final velocity of guided projectiles maximum with constraints. Comparing\r\nwith the appropriate initial conditions solved by Monte Carlo method and the flight characteristics solved by integrating the\r\noriginal differential equations in the optimal initial parameters computed by the new algorithm, the feasibility of new algorithm\r\nwas validated
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