摘要
针对滑翔式飞行器在无动力滑翔段的多约束轨迹规划问题,基于凸优化方法,提出了一种快速求解算法。算法通过引入控制量导数建立了扩维状态模型,基于分段高斯伪谱法得到了离散的优化问题形式,依靠设计的3种目标罚函数加速了收敛求解过程。仿真结果表明,该算法能在任意不满足约束的初值下,快速收敛到原问题的一组可行解,计算效率高于传统的高斯伪谱法。
For the problem of multi-constrained trajectory planning of gliding vehicle in the unpowered glide phase, a set of fast solving algorithms is presented based on convex optimization method. The algorithm establishes an extended dimension state model by introducing control derivative, obtains discrete optimization problems based on piecewise Gaussian pseudo-spectral method, and accelerates the convergence solving process by relying on three designed target penalty functions. The simulation results show that the algorithm can quickly converge to a set of feasible solutions of the original problem at any initial value that does not satisfy the constraint, and the computational efficiency is higher than that of the traditional Gaussian pseudo-spectral method.
作者
李臻
许冰青
李庆波
鄢雄伟
李博雅
LI Zhen;XU Bingqing;LI Qingbo;YAN Xiongwei;LI Boya(Shanghai Electro-Mechanical Engineering Institute,Shanghai 201109,China;Military Representative Office in Shanghai,Shanghai 201109,China)
出处
《空天防御》
2021年第4期50-56,79,共8页
Air & Space Defense
关键词
滑翔式飞行器
非线性规划
序列凸优化
分段高斯伪谱法
罚函数
gliding vehicle
nonlinear programming
sequential convex optimization
piecewise Gaussian pseudo-spectral method
penalty function
