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arXiv 2104.02547eess.SYcs.SY
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基于时序逻辑的间歇、最优和安全的连续时间轨迹跟踪学习

Temporal-Logic-Based Intermittent, Optimal, and Safe Continuous-Time Learning for Trajectory Tracking

Aris Kanellopoulos, Filippos Fotiadis, Chuangchuang Sun, Zhe Xu, Kyriakos G. Vamvoudakis, Ufuk Topcu, Warren E. Dixon

摘要:

在本文中,我们开发了安全的基于学习的控制器,用于完成复杂任务的系统,这些任务可以表示为线性时序逻辑规范,类似于搜索和救援任务所需的。在安全约束条件下,将原任务分解为一系列跟踪子问题。我们通过利用障碍函数将物理空间中的约束最优跟踪问题映射到变换空间中的无约束最优跟踪问题来施加安全条件。此外,我们开发的政策,间歇性地更新控制信号,以解决跟踪子问题,减少通信和计算资源的负担。随后,一个行动者-评论家算法被用来解决底层的Hamilton-Jacobi-Bellman方程。最后,我们支持我们提出的框架与稳定性证明,并通过模拟结果展示其有效性。

英文摘要:

In this paper, we develop safe reinforcement-learning-based controllers for systems tasked with accomplishing complex missions that can be expressed as linear temporal logic specifications, similar to those required by search-and-rescue missions. We decompose the original mission into a sequence of tracking sub-problems under safety constraints. We impose the safety conditions by utilizing barrier functions to map the constrained optimal tracking problem in the physical space to an unconstrained one in the transformed space. Furthermore, we develop policies that intermittently update the control signal to solve the tracking sub-problems with reduced burden in the communication and computation resources. Subsequently, an actor-critic algorithm is utilized to solve the underlying Hamilton-Jacobi-Bellman equations. Finally, we support our proposed framework with stability proofs and showcase its efficacy via simulation results.

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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