论文标题

安全覆盖具有二阶动力学的车辆的移动域

Safe Coverage of Moving Domains for Vehicles with Second Order Dynamics

论文作者

Chacon, Juan, Chen, Mo, Fetecau, Razvan

论文摘要

机器人对特定区域的自主覆盖范围彼此密切相邻,具有许多潜在的应用,例如对迅速变化的环境的实时监控以及搜索和救援;但是,协调和安全是两个基本挑战。为了进行协调,我们提出了一个分布式控制器,用于覆盖具有二阶动力学的两种类型的车辆的移动,紧凑的域(双积分器和固定翼飞机),并具有有限的输入力。该控制策略基于旨在促进所需的车辆域和车间间隔和相对速度的人造电势和对准力。我们证明某些覆盖范围配置在局部渐近稳定。为了安全起见,我们为无碰撞运动建立了能量条件,并利用汉密尔顿 - 雅各布(HJ)的可达性理论来避免上一度造成的碰撞。我们为相关的HJ部分微分方程提供了一个分析解决方案,该方程对应于两种双积分器车辆之间的避免碰撞问题。我们在几个数值模拟中演示了我们的方法,涉及两种类型的车辆,涵盖了凸和非凸线移动域。

Autonomous coverage of a specified area by robots operating in close proximity with each other has many potential applications such as real-time monitoring of rapidly changing environments, and search and rescue; however, coordination and safety are two fundamental challenges. For coordination, we propose a distributed controller for covering moving, compact domains for two types of vehicles with second order dynamics (double integrator and fixed-wing aircraft) with bounded input forces. This control policy is based on artificial potentials and alignment forces designed to promote desired vehicle-domain and inter-vehicle separations and relative velocities. We prove that certain coverage configurations are locally asymptotically stable. For safety, we establish energy conditions for collision free motion and utilize Hamilton-Jacobi (HJ) reachability theory for last-resort pairwise collision avoidance. We derive an analytical solution to the associated HJ partial differential equation corresponding to the collision avoidance problem between two double integrator vehicles. We demonstrate our approach in several numerical simulations involving the two types of vehicles covering convex and non-convex moving domains.

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