Aiming at the fuel-optimal control problem(OCP) of hypersonic vehicles(HSV) in the ascending stage, a trigonometric regularization method(TRM) is introduced based on the indirect method. The method can easily derive the optimal control, and by introducing error control, the fuel consumption index can be slightly modified to smooth the control and avoid singular optimal situation. Then, in view of the uncertainty of vehicle modeling and initial state, the study on robust optimization(RO) is conducted. A multi-objective optimization method is introduced, and the Pareto method is used to obtain a robust optimal control(ROC). The simulation results show that the above methods can effectively solve the fuel-optimal control problem of HSV in the ascending stage, and enhance the robustness of the ascending final states within the uncertainties.

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Fuel-Optimal Control and Robustness Optimization Methods of Hypersonic Vehicles in the Ascending Stage

  • Lin Yujie,
  • Han Yanhua

摘要

Aiming at the fuel-optimal control problem(OCP) of hypersonic vehicles(HSV) in the ascending stage, a trigonometric regularization method(TRM) is introduced based on the indirect method. The method can easily derive the optimal control, and by introducing error control, the fuel consumption index can be slightly modified to smooth the control and avoid singular optimal situation. Then, in view of the uncertainty of vehicle modeling and initial state, the study on robust optimization(RO) is conducted. A multi-objective optimization method is introduced, and the Pareto method is used to obtain a robust optimal control(ROC). The simulation results show that the above methods can effectively solve the fuel-optimal control problem of HSV in the ascending stage, and enhance the robustness of the ascending final states within the uncertainties.