动态更新模型参数,让无人机在复杂环境里越跑越准、越跑越快。
Adaptive Lattice-based Motion Planning
- 在线用数据更新不确定模型,逐步缩小误差
- 生成的运动轨迹带可变保护管,确保不撞障碍物
- 适合带不确定性模型的无人机等移动系统
本文提出一种自适应格栅运动规划方法,用于解决在复杂环境中基于线性参数化非线性模型且存在参数不确定性的系统轨迹生成问题。通过在线使用输入/输出数据更新包含不确定参数的模型集合及动态估计参数,使模型估计误差随时间减小。基于此,格栅规划器采用优选的名义估计模型生成运动基元,并为其配备考虑模型失配的保护管,其尺寸与模型集合直径成正比。自适应学习模块保证模型集合直径和参数估计误差持续下降,从而减小保护管尺寸,使所用运动基元逐渐逼近真实模型下的最优解,显著提升规划性能。仿真验证了该方法在含不确定参数的欧拉-拉格朗日动力学无人机模型上的有效性。
原文摘要 · Abstract (English)
This paper proposes an adaptive lattice-based motion planning solution to address the problem of generating feasible trajectories for systems, represented by a linearly parameterizable non-linear model operating within a cluttered environment. The system model is considered to have uncertain model parameters. The key idea here is to utilize input/output data online to update the model set containing the uncertain system parameter, as well as a dynamic estimated parameter of the model, so that the associated model estimation error reduces over time. This in turn improves the quality of the motion primitives generated by the lattice-based motion planner using a nominal estimated model selected on the basis of suitable criteria. The motion primitives are also equipped with tubes to account for the model mismatch between the nominal estimated model and the true system model, to guarantee collision-free overall motion. The tubes are of uniform size, which is directly proportional to the size of the model set containing the uncertain system parameter. The adaptive learning module guarantees a reduction in the diameter of the model set as well as in the parameter estimation error between the dynamic estimated parameter and the true system parameter. This directly implies a reduction in the size of the implemented tubes and guarantees that the utilized motion primitives go arbitrarily close to the resolution-optimal motion primitives associated with the true model of the system, thus significantly improving the overall motion planning performance over time. The efficiency of the motion planner is demonstrated by a suitable simulation example that considers a drone model represented by Euler-Lagrange dynamics containing uncertain parameters and operating within a cluttered environment.
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