本文设计了hp自适应Radau伪谱算法（hp-RPM），基于水下航行体垂直面三自由度运动方程求解了操纵首尾升降舵控制方式下的上浮最优控制问题。根据不同航速、不同最大纵倾角限制、不同变深范围的仿真计算上浮总时间结果，绘制了最大纵倾角—航速图谱、最大纵倾角—变深范围图谱和航速—变深范围图谱，并根据最快变深操纵控制的特点，绘制了不同变深范围的回舵提前深度图谱和最大垂速图谱。最优控制结果符合操纵运动规律，可用于指导操舵人员变深机动操纵、制定变深机动训练标准和开展训练效果评估。
An hp-adaptive Radau pseudo-spectral algorithm (hp-RPM) is designed, with the 3 DOF equations of motion under the operation of bow plane and stern plane in the vertical plane, to investigate the optimal control of ascent problem for underwater vehicle. The total ascent time under the combination of different initial speed, restriction of maximum pitch angle and range of depth changing is summarized. Systematic diagram of maximum pitch angle-initial speed, maximum pitch angle-range of depth changing and initial speed-range of depth changing are drawn, the lead depth to implement the pull out maneuver and maximum vertical speed are draw as well. Results of the optimal control problems agree with the regulation of maneuvering motion, the systematic diagram can be used as guidelines for the helmsman to implement depth changing operation, it also can be used to enact corresponding training standards and evaluate the training effect.
2022,44(11): 48-53 收稿日期：2021-05-17
DOI：10.3404/j.issn.1672-7649.2022.11.010
分类号：U661.33+1
作者简介：李继中(1989 – )，男，硕士，工程师，研究方向为潜艇操纵性
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