用距离测量实现无人机动态绕行敌对目标,保障安全距离
Safe Circumnavigation of a Hostile Target Using Range-Based Measurements
- 引入辅助圆构造控制框架,基于距离信息规划路径
- 通过屏障李雅普诺夫函数确保稳定绕行且不进入安全禁区
- 适合需要避障与安全导航的机器人控制研究者
机器人常被部署于枯燥、肮脏、危险的任务中,设计稳定控制器时确保安全至关重要。本文研究非完整机器人在存在威胁的目标周围安全绕行问题,目标是保持与目标的期望安全距离。方法上引入辅助圆,结合可用的距离测量信息,利用屏障李雅普诺夫函数设计新型控制律,确保机器人稳定绕行同时避免进入安全圆区域。控制器参数依赖于三个圆的半径:稳定圆、辅助圆和安全圆。通过确定该参数的合理范围,严格证明了闭环系统期望平衡点的稳定性。此外,分析了控制器增益对机器人在辅助圆内运动的影响。仿真与实验结果验证了理论成果。
原文摘要 · Abstract (English)
Robotic systems are frequently deployed in missions that are dull, dirty, and dangerous, where ensuring their safety is of paramount importance when designing stabilizing controllers to achieve their desired goals. This paper addresses the problem of safe circumnavigation around a hostile target by a nonholonomic robot, with the objective of maintaining a desired safe distance from the target. Our solution approach involves incorporating an auxiliary circle into the problem formulation, which assists in navigating the robot around the target using available range-based measurements. By leveraging the concept of a barrier Lyapunov function, we propose a novel control law that ensures stable circumnavigation around the target while preventing the robot from entering the safety circle. This controller is designed based on a parameter that depends on the radii of three circles, namely the stabilizing circle, the auxiliary circle, and the safety circle. By identifying an appropriate range for this design parameter, we rigorously prove the stability of the desired equilibrium of the closed-loop system. Additionally, we provide an analysis of the robot's motion within the auxiliary circle, which is influenced by a gain parameter in the proposed controller. Simulation and experimental results are presented to illustrate the key theoretical developments.
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