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<p>Sequential evasive maneuvering is a critical tactic for a hypersonic glide vehicle (HGV) to penetrate defense systems. Considering the urgent need for high-reliability penetration strategies in complex stochastic environments where continuous atmospheric turbulence and discontinuous aerodynamic mutations coexist, the study aims to develop a robust control framework ensuring stable sequential evasion against multiple interceptors. A type of sequential Stackelberg jump-diffusion game (SSJDG) based penetration control strategy is proposed in this paper. Firstly, multi-interceptor engagement is modeled as multi-player hierarchical stochastic differential game, where the flight dynamics are formulated as nonlinear stochastic jump-diffusion systems. This model explicitly characterizes continuous Wiener processes and discontinuous Poisson jump disturbances, providing a mathematical foundation for handling non-Gaussian uncertainties. Secondly, by applying the dynamic programming principle and the Stackelberg solution concept, the sequential game is transformed into a set of coupled stochastic Hamilton–Jacobi-Bellman (HJB) equations. A suboptimal control law is then derived through the Linear Matrix Inequality (LMI) technique to ensure real-time computational efficiency. Finally, numerical simulation with 200 Monte Carlo trials are conducted. The results demonstrate that, compared with the LQR baseline, the proposed SSJDG strategy significantly improves the mean miss distance and maintains a highly concentrated distribution, effectively enhancing the penetration success rate and ensuring superior survivability under severe stochastic disturbances.</p>

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Suboptimal Stochastic Differential Game Control for Sequential Evasive Maneuvers of a Hypersonic Glide Vehicle

  • 期刊论文

  • 发表日期：

    2026年6月24日

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  • Guowei Zhang,
  • Xiaoping Chen,
  • Jingquan Huang,
  • Bowen Su,
  • Yuankai Li

摘要

Sequential evasive maneuvering is a critical tactic for a hypersonic glide vehicle (HGV) to penetrate defense systems. Considering the urgent need for high-reliability penetration strategies in complex stochastic environments where continuous atmospheric turbulence and discontinuous aerodynamic mutations coexist, the study aims to develop a robust control framework ensuring stable sequential evasion against multiple interceptors. A type of sequential Stackelberg jump-diffusion game (SSJDG) based penetration control strategy is proposed in this paper. Firstly, multi-interceptor engagement is modeled as multi-player hierarchical stochastic differential game, where the flight dynamics are formulated as nonlinear stochastic jump-diffusion systems. This model explicitly characterizes continuous Wiener processes and discontinuous Poisson jump disturbances, providing a mathematical foundation for handling non-Gaussian uncertainties. Secondly, by applying the dynamic programming principle and the Stackelberg solution concept, the sequential game is transformed into a set of coupled stochastic Hamilton–Jacobi-Bellman (HJB) equations. A suboptimal control law is then derived through the Linear Matrix Inequality (LMI) technique to ensure real-time computational efficiency. Finally, numerical simulation with 200 Monte Carlo trials are conducted. The results demonstrate that, compared with the LQR baseline, the proposed SSJDG strategy significantly improves the mean miss distance and maintains a highly concentrated distribution, effectively enhancing the penetration success rate and ensuring superior survivability under severe stochastic disturbances.