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摘要: 为了解决机场道面实际除冰雪作业中方案不能完全适应环境的问题, 考虑了除冰雪过程中作业方式和航空器适航条件, 构建了具有时间约束的两阶段除冰雪作业模型; 基于机场除冰雪车辆的作业能力, 研究了机械除冰雪作业方法中多车辆的协同作业问题, 设计了基于复拉普拉斯矩阵的队形控制模型; 为了减少通讯消耗及保证通讯稳定性, 基于Henneberg序列操作方法生成机场道面除冰雪作业车辆最优通讯图, 并验证了所生成最优通讯图满足队形控制模型所要求双根条件。研究结果表明: 两阶段除冰雪作业模型能够选择不同的异构车辆进行编队作业以达到时间和效果最优; 基于复拉普拉斯矩阵和领航者方法相结合得到的控制模型与传统控制模型相比队形更稳定; 采用边有向化操作所生成的最优通讯图保证了队形中领航者和跟随者之间通讯的有效性; 在一阶运动学模型下, 基于5自主体“人”字形编队从任意位置出发能够在1 min内实现速度收敛一致及生成期望队形, 且运动轨迹中不存在绕圈、小角度转弯的情况, 符合实际作业车辆运行规则, 并能在随后的作业中保持期望队形。可见, 所构建的队形控制模型能够实现对大型异构除冰雪作业车辆的队形控制, 满足预期要求。Abstract: In order to solve the problem that the scheme of the actual deicing operation of the airport pavement cannot be fully adapted to the environment, the operation mode and the airworthiness condition of the aircraft during deicing process were considered, and a two-stage deicing operation model with time constraints was constructed. Based on the operation ability of the airport deicing vehicle, the collaborative operation problem of multiple vehicles in the mechanical deicing operation method was studied, and the formation control model based on the complex Laplacian matrix was designed. In order to reduce communication consumption and ensure communication stability, the Henneberg sequence operation method was used to generate the optimal communication diagram of the airport pavement deicing operation vehicles, and the generated optimal communication diagram satisfied the double root condition required by the formation control model. Analysis result shows that the two-stage deicing operation model can select different heterogeneous vehicles for formation work to achieve the optimal time and effect. The formation of control model based on the combination of the complex Laplacian matrix and the leader method is more stable than the traditional control model. The optimal communication diagram generated by the edge directed ensures the availability of communication between the leader and follower in the formation. Under the first-order kinematics model, the speed convergence can be achieved and the desired formation can be generated within 1 min based on the 5-agent "人" type formation. There is no winding or small angle turning in the motion trajectory, which conforms to the actual operation rules of vehicles and can maintain the desired formation in subsequent operations. Therefore, the formation control model can realize the formation control of large-scale heterogeneous deicing operation vehicles and meet the expected requirements.
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