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研究了常值风场作用下平流层飞艇的上升段轨迹优化和大气紊流对最优轨迹的影响问题。首先基于平流层飞艇的受力分析,建立了考虑常值风场、地球自转和飞艇质量变化等诸多因素的三自由度动力学模型,处理参数得到归一化的系统方程;其次采用直接配点法将平流层飞艇的最优轨迹问题转换为非线性规划问题,以最小能量为目标函数,给出非线性规划问题的求解策略,优化得出可行解后对飞艇的最优上升轨迹及相应的加速度项进行了分析,将优化的控制量代入微分方程验证了优化轨迹的准确性;最后加入Dryden型大气紊流的干扰,选取多组大气紊流干扰下的数据进行对比分析,仿真结果表明大气紊流叠加风场均值与飞艇终端位置误差存在一定规律,分析并提出了平流层飞艇抵御大气紊流干扰的策略。
The problem of the optimal trajectory optimization of stratospheric airship under the effect of constant value wind field is studied. First, based on the force analysis of the airship, three-degree-of-freedom dynamics model considering the constant wind field, the rotation of the Earth and the mass of the airship are established. The normalized system equations are obtained by processing the parameters. Secondly, The optimal trajectory problem of airships is converted into a nonlinear programming problem. The minimum energy is taken as the objective function to solve the nonlinear programming problem. The optimal lifting trajectory and the corresponding acceleration Item is analyzed, and the optimal control amount is substituted into the differential equation to verify the accuracy of the optimized trajectory. Finally, by adding the disturbance of the Dryden type atmospheric turbulence, the data under multiple atmospheric turbulence disturbances are selected and compared. The simulation results show that the atmospheric turbulence There is a certain law of the average wind superimposed wind field and the position error of the airship, and the strategy of the stratospheric airship against the disturbance of the atmospheric turbulence is analyzed and proposed.