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arXiv 2402.17038eess.SYcs.SY
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面向全局与最优安全导航的混合反馈控制

Hybrid Feedback Control for Global and Optimal Safe Navigation

Ishak Cheniouni, Soulaimane Berkane, Abdelhamid Tayebi

AI总结:

提出一种混合反馈控制策略,在含球形障碍的n维欧氏空间中通过视线判断与锥内最短路径避障,利用虚拟目的地切换实现目标位置的全局渐近稳定与最优安全导航。

摘要:

我们提出一种混合反馈控制策略,能在含单个球形障碍物的n维欧氏空间中,从所有初始条件最优且安全地将质点机器人导向目标位置。当机器人对目标有清晰视线时,它直线驶向目标;否则,通过在以机器人位置为顶点、包围障碍物的锥体内沿最短路径进行最优避障机动。该切换策略避免了非期望平衡点,实现了目标位置的全局渐近稳定(GAS),其依赖于使用两个适当设计的虚拟目的地,确保控制连续性和最短路径生成。文中展示了说明所提方法有效性的仿真结果。

英文摘要:

We propose a hybrid feedback control strategy that safely steers a point-mass robot to a target location optimally from all initial conditions in the n-dimensional Euclidean space with a single spherical obstacle. The robot moves straight to the target when it has a clear line-of-sight to the target location. Otherwise, it engages in an optimal obstacle avoidance maneuver via the shortest path inside the cone enclosing the obstacle and having the robot's position as a vertex. The switching strategy that avoids the undesired equilibria, leading to global asymptotic stability (GAS) of the target location, relies on using two appropriately designed virtual destinations, ensuring control continuity and shortest path generation. Simulation results illustrating the effectiveness of the proposed approach are presented.

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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