【论文】EGO-Swarm


# EGO-Swarm
[论文来源](https://github.com/ZJU-FAST-Lab/ego-planner-swarm)
![EGO-Swarm: A Fully Autonomous and Decentralized Quadrotor Swarm System in Cluttered Environments](data:image/jpeg;base64,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) ## 摘要 ​ 这篇文章主要是提出一个在复杂环境下去中心化异步系统性的多无人机自动导航解决方案。在基于梯度的局部规划框架中,通过将*碰撞风险作为一种惩罚非线性优化问题*来避免碰撞。为了提高鲁棒性和避免局部最小,本算法运用了**轻量级的拓扑学路径生成方法**;使用**可依赖的路径分享网络**,多无人机能够生成安全、平坦、满足动态可行性的路径。 ## 介绍 ### 背景 很少有研究工作将四旋翼群在未知环境下的单智能体自主导航和已知环境下的多智能体精确编队控制结合起来**展示能够导航共享相同未知空间的四旋翼群的真实世界系统**,特别是只有onboard处理。 ### 问题 在未知环境中部署多个四旋翼遇到的问题包括但不限于 * *障碍物参数化的重要性*(nontriviality of obstacle parameterization) * *感应范围有限*(limited sensing range) * *不可靠和带宽有限通信*(unreliable and bandwidth limited communication) * *定位漂移*(position drift) ### EGO-Swarm的优点 它在**不需要外部本地化和计算或预先构建的地图**的情况下,使得无人机群高性能的在拥挤环境中飞行,并且完美的解决上述问题。 ### 算法组成 *

拓扑规划(topological planning)

* 拓扑规划有效的**避免了局部最优**。 * 因为在EGO-planner中**前端拓扑路径搜索是隐式完成的**,所以大大**节省了计算时间**。 *

相互碰撞避免(reciprocal collision avoidance)

* 去中心化的相互碰撞避免算法是通过**在目标函数中添加一个无人机碰撞的权重惩罚来实现的**。通过将未来时间的代理分布与正在优化的轨迹进行比较来评估这种惩罚。 * 为了**尽量减少数据传输并允许不可靠的通信**,**广播网络**(broadcast network)用于分享轨迹。 为了纠正相对定位漂移(relative localization),附近的无人机的观察和来自轨迹评估的预测进行比较。(应该就是将别的无人机看到的情况和自己本身的路径规划进行比较) ## 算法大致步骤 ![框架](【论文】EGO-Swarm/image-20220319135810344.png) ### 基于梯度的局部规划的隐式拓扑轨迹生成 * A.一个无 ESDF 的基于梯度的局部规划器:EGO-Planner * B.隐式拓扑轨迹生成 ### 无人机群导航 * 相互碰撞避免 * 定位漂移补偿 > 一种简化且轻量级的相对漂移通过比较从接收到的代理轨迹评估的预测位置和从目击代理的深度图像中测量的位置,提出了估计方法。 * 从深度图像中去除无人机 > 移动的无人机已经在**相互碰撞避免**中考虑过了,所以在地图建造和轨迹规划的时候没有必要将无人机考虑进去。 ## SYSTEM ARCHITECTURE ![论文提供的图](【论文】EGO-Swarm/image-20220317235916599.png) * **单无人机导航系统 **:EGO-Planner+VIO(vision inertial odometry)偏移补偿+从深度图像中去除其他无人机 * **通信框架** * 一个共享轨迹的**广播网络**(broadcast network) > 一旦无人机生成一个新的无碰撞轨迹,立即向所有无人机广播 。然后其他无人机接收并存储该轨迹用于在必要时为自己生成安全轨迹。这种闭环策略在理想情况下正常工作连接稳定和延迟的情况 可以忽略不计。但是,这在实践中并不能保证。 因此提出了两种方法来降低这种可能性碰撞的 方法 > > * 在网络容量满足的情况下以给定频率将轨迹进行广播。包含三维位点的轨迹一般小于0.5KB,一般的无线网络可以达到1Mbps。 > * 每个无人机检查碰撞,一旦从广播网络接收到轨迹, 如果检测到潜在的碰撞,则无人机生成新的无碰撞轨迹 。 * 一个用于同步时间戳和管理顺序启动的**链式网络**( chain network) >这个策略避免在系统启动期间,无人机因为没有其他无人机轨迹的信息同步造成的 生成轨迹时引起的混乱 。 ## 比较 ### Topological Planning ![论文中的图](【论文】EGO-Swarm/image-20220319142346688.png) EGO-Swarm和Fast-Planner的比较: * EGO-Swarm找到的可行轨迹(candidates trajectory)较少,这意味着找到全局最优的概率较低,但速度更快。 * Fast-Planner通过 PRM图搜索、路径缩短和路径修剪来寻找拓扑路线,这些都是耗时的方法,但与隐式拓扑路径搜索方法(EGO-Swarm使用的方法)比较而言,相对自由度更高。 ![PRM](【论文】EGO-Swarm/53a3bd45b37661b1f8daacdaa5743323.png) ### Swarm Planning 下面的表格表示使用4种不同的规划器在*飞行距离d~fly~(m)、飞行时间t~fly~(s)、每个无人机碰撞次数Collision和计算时间t~cal~(s)*进行比较。 ![避障算法比较](【论文】EGO-Swarm/image-20220319141807992.png) * RBP:RBP 倾向于产生**安全的但保守的轨迹,因为凸形的飞行轨迹相对安全,但是减少了解决方案的空间**(就是每一条轨迹太占地方了)。 * DMPC:专为分布式部署而设计。然而,它需要**准确和高频姿势通信**,在真实的应用程序中无法保证。 * ORCA: 高效的规则使ORCA 更新很快。 然而,**使用速度作为控制命令使其与四旋翼等三阶系统不兼容**。 这样的碰撞风险也限制了它的应用。 * EGO-Swarm:所提出的方法**生成最短的无碰撞、非保守轨迹,计算速度最快**。 ![不同避障算法的飞行轨迹](【论文】EGO-Swarm/image-20220319142545155.png) ## 总结 在本文中,提出了一种仅使用onboard资源在未知杂乱环境中进行多机器人导航的系统解决方案。 基准(Benchmark)比较表明其计算时间短,轨迹质量高。 真实世界的实验验证了它的稳健性和效率。

文章作者: copy
版权声明: 本博客所有文章除特別声明外,均采用 CC BY 4.0 许可协议。转载请注明来源 copy !
 上一篇
【无人机】HKUST课件学习 【无人机】HKUST课件学习
# UAV Learning 本篇只是一个目录性质的东西,相关东西自己去看课件 ![无人机](【无人机】HKUST课件学习/u=1620021440,3565980159&fm=253&fmt=auto&app=120&f=JPEG.
2023-03-26
下一篇 
【实验】语音识别 【实验】语音识别
为学校数字信号处理实验总结和归纳; ![语音识别](【实验】语音识别/OIP-C.qTq2jfShxrP6Z7XWhDbuMQHaCmw=338&h=123&c=7&r=0&o=5&dpr=1.38&pid=1.7)
2023-03-26
  目录