Entry Optimization Computation Using Simplex Algorithm Reference Trajectory Programming

Sequential Quadratic Programming (SQP) for trajectory optimization of entry vehicle was presented. Firstly, equations of motion were normalized and an independent variable is introduced to reduce the difficulty of iterative computation. And then, optimal control problem was transformed into a nonlinear programming problem using direct collocation method. Finally, sequential quadratic programming was presented for solving the nonlinear programming problem. According to sensitivity of the initial value and long computation time spent on iteration in trajectory optimization with multi-constraints, the simplex algorithm was provided for generating a reference trajectory rapidly to satisfy all constraints absolutely. Simulation results demonstrate that the reliable algorithm can consistently achieve the desired target conditions and satisfy all constraints effectively.