Physics

Trajectory

Aerospace engineering

Trajectory optimization

Mathematics

Gene

Mathematical optimization

Astronomy

Regular polygon

Initialization

Engineering

Convex optimization

Embedded system

Artificial intelligence

Control (management)

Chemistry

Robust optimization

Programming language

Geometry

Computer science

Bottleneck

Thrust

Control theory (sociology)

Biochemistry

Robustness (evolution)

Lagrange multiplier

Optimal control

IEEE Transactions on Aerospace and Electronic Systems

Although the robustness of indirect methods is enhanced by the homotopic approach and switching detection technique when applied to fuel-optimal low-thrust trajectory optimization, the bottleneck in adjoint initialization still needs further investigation. This paper overcomes this bottleneck by the adjoint mapping between the Lagrange multipliers of direct methods to the adjoint variables. The nonconvex optimization problem deduced from direct methods is converted into a convex one by lossless convexification and successive convex programming. By combining these techniques, a framework is built to effectively solve the fuel-optimal low-thrust trajectory optimization problem.

Fuel-Optimal Low-Thrust Trajectory Optimization Using Indirect Method and Successive Convex Programming