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マニピュレーションarXiv:2003.02968

集合論的アプローチによるマルチタスク実行と優先順位付け

A Set-Theoretic Approach to Multi-Task Execution and Prioritization

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拡張集合ベースタスクを制御バリア関数で表現し、制約付き最適化で優先順位が時間変化する複数タスクをオンライン実行する枠組みを提案し、冗長マニピュレータで実証した。

著者: Gennaro Notomista, Siddharth Mayya, Mario Selvaggio, Maria Santos, Cristian Secchi

分類: cs.RO, cs.SY, eess.SY, math.OC

原文アブストラクト

Executing multiple tasks concurrently is important in many robotic applications. Moreover, the prioritization of tasks is essential in applications where safety-critical tasks need to precede application-related objectives, in order to protect both the robot from its surroundings and vice versa. Furthermore, the possibility of switching the priority of tasks during their execution gives the robotic system the flexibility of changing its objectives over time. In this paper, we present an optimization-based task execution and prioritization framework that lends itself to the case of time-varying priorities as well as variable number of tasks. We introduce the concept of extended set-based tasks, encode them using control barrier functions, and execute them by means of a constrained-optimization problem, which can be efficiently solved in an online fashion. Finally, we show the application of the proposed approach to the case of a redundant robotic manipulator.

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