基于随机搜索两阶段规划模型算法的未知海域水下全覆盖路径规划研究

Research on underwater full coverage path planning in unknown waters based on the two-stage planning model algorithm of random search

  • 摘要:
    目的 针对水下航行器在目标海域执行先期驱潜、阵地游猎等搜索任务的典型应用场景,探讨在无先验信息且受探测能力约束的条件下,实现未知海域高效无死角覆盖搜索的方法。
    方法 通过建立未知海域搜索路径规划数学模型,并针对随机搜索策略设计基于两阶段规划的启发式求解方法,得出不同形状海域中各类搜索策略的效率结果。
    结果 矩形海域中,平行搜索或螺旋搜索效率最高,之字搜索策略效率最低;圆形海域中,螺旋搜索效率最高;不规则海域中,平行搜索、之字搜索和螺旋搜索均无法直接应用,随机搜索可不经海域近似处理找到近优解。
    结论 所建立的数学模型满足“全面覆盖未知海域”及 “最短时间完成搜索”等条件,设计的随机搜索两阶段规划模型算法,能在不离散化战场物理空间、约束条件和决策变量的前提下,为任意不规则连通海域规划出满足全覆盖要求的随机搜索航路。

     

    Abstract:
    Objectives Aiming at the typical application scenarios where underwater vehicles perform search tasks such as advance submarine drive and position hunting in the target sea area, this paper explores methods to achieve efficient and seamless coverage search in unknown waters under the conditions of no prior information and being constrained by detection capabilities.
    Methods By establishing a mathematical model for the search path planning of unknown waters and designing a heuristic solution method based on two-stage planning for the random search strategy, the efficiency results of various search strategies in different shaped waters are obtained.
    Results In rectangular waters, parallel search or spiral search has the highest efficiency, and the "Z-word" search strategy has the lowest efficiency; in circular waters, the spiral search has the highest efficiency; in irregular waters, parallel search, "Z-word" search and spiral search cannot be directly applied, and random search can find near-optimal solutions without approximating the waters.
    Conclusions The established mathematical model satisfies conditions such as "full coverage of unknown waters" and "completing the search in the shortest time". The designed random search two-stage planning model algorithm can plan a random search route that meets the full coverage requirement for any irregularly connected waters without discretizing the physical space of the battlefield, constraints and decision variables.

     

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