基于蒙特卡洛概率模型的多连接体碰撞检测

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中图分类号：TP242 文献标志码：A 文章编号：2095-2945（2025）29-0054-04

Abstract：Inthispaper，multi-connectedbodysystemsmovingonnonlinearorbitsaremodeledandanalyzedto prevent colisionscausedbytoofastspeedsandtoosmalldistancebetweenorbits.Mostoftheexistingstudiesarecoverage-based traversalalgorithmsandsinglelinear programming models，whosecomplexcalculationsleadtoslowsolutionspeeds.Inthispaper， thetraversalalgorithmisusedtobuildapositionmodelandavelocitycumulativeatenuationmodelIncolisiondetection，the MonteCarloalgorithmisusedtocarryoutaseriesofextractiontestsonthestateofeachnodeinthemotionprocessunder constraints toensurethatthemulti-conectorsystematamaximumpowerdeterminesthetime toavoidthecollsion.Atthe sametie，thisresearchmethodprovidesasimpleandaccuratecalculationmethodforcomplex linearprogrammingandoptimal solution problems，and has significant results in experimental verification and proofreading.

Keywords：MonteCarloMethod;colisiondetection;velocitycumulativeattnuationmodel；multi-connector；positionmodel

轨道交通系统及多无人机集群等大规模运动系统易受环境扰动影响，具有显著的不确定性特征。（剩余4098字）