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求解复杂约束条件下最优控制问题的分段低阶Gauss伪谱法
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作者 李炳杰 王磊 马青海 《空军工程大学学报(自然科学版)》 CSCD 北大核心 2017年第5期92-98,共7页
针对含有复杂约束条件的最优控制问题,提出分段低阶Gauss伪谱法。以常规Gauss伪谱法为基础,划分时间区间,在子区间上利用低阶Gauss数值积分离散Bolza型性能指标,利用插值型数值积分的性质离散状态微分方程,利用低阶Gauss伪谱法处理复杂... 针对含有复杂约束条件的最优控制问题,提出分段低阶Gauss伪谱法。以常规Gauss伪谱法为基础,划分时间区间,在子区间上利用低阶Gauss数值积分离散Bolza型性能指标,利用插值型数值积分的性质离散状态微分方程,利用低阶Gauss伪谱法处理复杂约束条件,得到对应的非线性规划。对状态轨线或控制函数较复杂的情形,该方法克服了传统Gauss伪谱法直接在时间区间上配置Gauss点,插值多项式阶数高、数值解不稳定的缺陷,并且数值解局部代数精度高、计算量小。最后将该方法应用于求解飞行器对地打击轨迹规划最优控制问题,结果表明算法有效可行。 展开更多
关键词 最优控制 飞行器轨迹规划 GAUSS伪谱法
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Path planning for UAVs formation reconfiguration based on Dubins trajectory 被引量:7
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作者 CHEN Qing-yang LU Ya-fei +3 位作者 JIA Gao-wei LI Yue ZHU Bing-jie LIN Jun-can 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第11期2664-2676,共13页
Multiple UAVs are usually deployed to provide robustness through redundancy and to accomplish surveillance,search,attack and rescue missions.Formation reconfiguration was inevitable during the flight when the mission ... Multiple UAVs are usually deployed to provide robustness through redundancy and to accomplish surveillance,search,attack and rescue missions.Formation reconfiguration was inevitable during the flight when the mission was adjusted or the environment varied.Taking the typical formation reconfiguration from a triangular penetrating formation to a circular tracking formation for example,a path planning method based on Dubins trajectory and particle swarm optimization(PSO)algorithm is presented in this paper.The mathematic model of multiple UAVs formation reconfiguration was built firstly.According to the kinematic model of aerial vehicles,a process of dimensionality reduction was carried out to simplify the model based on Dubins trajectory.The PSO algorithm was adopted to resolve the optimization problem of formation reconfiguration path planning.Finally,the simulation and vehicles flight experiment are executed.Results show that the path planning method based on the Dubins trajectory and the PSO algorithm can generate feasible paths for vehicles on time,to guarantee the rapidity and effectiveness of formation reconfigurations.Furthermore,from the simulation results,the method is universal and could be extended easily to the path planning problem for different kinds of formation reconfigurations. 展开更多
关键词 unmanned aerial vehicles formation reconfiguration path planning Dubins trajectory particle swarm optimization
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