This paper focuses on the range maximization problem for hypersonic cruise missiles (HCMs). The controls of the HCM under investigation are the angle of attack and the fuel flow of the scramjet engine. When fuel is burned, the angle of attack is strictly restricted under the engine’s limitations. Therefore, a novel control relation is introduced, allowing for a broader range of admissible angle-of-attack values during non-fuel-burning periods. Our analysis primarily examines two methods. The first is based on a vanishing constraint formulation, which implies that the control set is nonconvex and the linear independence constraint qualification is invalid. The second method employs an extended variable time transformation (VTT) approach to reformulate the problem. The advantage of the VTT formulation in terms of convergence to an optimal solution is demonstrated using a simplified problem. Finally, we present a comparison of both formulations for the range maximization problem of the HCM, highlighting the merits of the VTT method.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Optimal Trajectory for a Hypersonic Cruise Missile with a Nonconvex Control Set


    Contributors:

    Published in:

    Publication date :

    2025-06-01




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Design of Lateral Control System for a Hypersonic Cruise missile

    Fan, Yonghua / Wu, Xiaofei / Xu, Hongyang et al. | AIAA | 2017



    Four-Loop Feedback Control System with Integrator Design for Hypersonic Cruise Missile

    Xu, Hongyang / Yu, Yunfeng / Guo, Xiaowen et al. | AIAA | 2017


    Coupled Waverider/Trajectory Optimization for Hypersonic Cruise

    Starkey, R. P. / Rankins, F. / Pines, D. et al. | British Library Conference Proceedings | 2005


    Coupled Waverider/Trajectory Optimization for Hypersonic Cruise

    Starkey, Ryan / Rankins, Falcon / Pines, Darryll | AIAA | 2005