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arXiv 2201.09285cs.ROcs.SYeess.SY

带定位约束的非线性模型预测控制多AAV协同路径规划

Multi-AAV Cooperative Path Planning using Nonlinear Model Predictive Control with Localization Constraints

IIIT Delhi(德里印度信息技术学院);University of Cincinnati(辛辛那提大学);IISER Bhopal(博帕尔印度科学教育与研究学院)

Amith Manoharan, Rajnikanth Sharma, P. B. Sujit

AI总结:

针对GPS拒止环境下多AAV协同定位与路径规划问题,提出结合MHE与带近似解析闭式协方差表达式的NMPC方法,可在保证定位精度的同时降低计算量,经仿真验证优于基于EKF的方案。

摘要:

本文针对GPS拒止环境下的一组自主飞行器(AAV),采用非线性模型预测控制(NMPC)解决协同定位与路径规划的联合问题。研究借助已知地标及其他飞行器的相对方位信息,使用移动时域估计器(MHE)估计飞行器状态。NMPC的目标是在维持期望定位精度的同时,为每架飞行器规划给定起点与终点间的最优路径。由于在NMPC中估计定位协方差计算量极大,因此本文基于协方差与到地标路径长度之间的关系,推导了一种近似解析闭式表达式。在计算NMPC控制指令时使用该表达式可显著降低计算复杂度。本文通过数值仿真验证了所提方法在不同飞行器数量及地标配置下的有效性,还将结果与基于扩展卡尔曼滤波(EKF)的估计方法进行对比,证明了所提闭式方法的优越性。

英文摘要:

In this paper, we solve a joint cooperative localization and path planning problem for a group of Autonomous Aerial Vehicles (AAVs) in GPS-denied areas using nonlinear model predictive control (NMPC). A moving horizon estimator (MHE) is used to estimate the vehicle states with the help of relative bearing information to known landmarks and other vehicles. The goal of the NMPC is to devise optimal paths for each vehicle between a given source and destination while maintaining desired localization accuracy. Estimating localization covariance in the NMPC is computationally intensive, hence we develop an approximate analytical closed form expression based on the relationship between covariance and path lengths to landmarks. Using this expression while computing NMPC commands reduces the computational complexity significantly. We present numerical simulations to validate the proposed approach for different numbers of vehicles and landmark configurations. We also compare the results with EKF-based estimation to show the superiority of the proposed closed form approach.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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