Path Planning and Funnel Control for Wheeled Mobile Robot Based on Signal Temporal Logic

Temporal logic can ensure the accurate description and execution of task specifications by providing a rich specification language. This paper uses relevant robust semantics to consider continuous-time systems under signal temporal logic specification fragments and uses a funnel-based feedback contr...

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Main Authors: TIAN Chang, ZHU Huajie, YANG Yan, SHI Zhongjiao, LIU Zhijie
Format: Article
Language:zho
Published: Editorial Office of Control and Information Technology 2022-12-01
Series:Kongzhi Yu Xinxi Jishu
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Online Access:http://ctet.csrzic.com/thesisDetails#10.13889/j.issn.2096-5427.2022.06.400
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author TIAN Chang
ZHU Huajie
YANG Yan
SHI Zhongjiao
LIU Zhijie
author_facet TIAN Chang
ZHU Huajie
YANG Yan
SHI Zhongjiao
LIU Zhijie
author_sort TIAN Chang
collection DOAJ
description Temporal logic can ensure the accurate description and execution of task specifications by providing a rich specification language. This paper uses relevant robust semantics to consider continuous-time systems under signal temporal logic specification fragments and uses a funnel-based feedback control law to realize collaborative design of path planning and control of wheeled mobile robot. This design not only introduces a strict and effective formal verification method, but also provides a computationally-efficient funnel-based feedback control law. Firstly, it describes the mission by signal temporal logic. Then, it transforms the description into robust formula. Finally, using the funnel-based feedback control law, it makes the robust semantics of the robust formula maximum to realize the collaborative design of path planning and control. Simulation is based on the wheeled mobile robot kinematics model, and the results show that the collaborative design method proposed in this paper is effective. When the specification is physically met, the system can achieve the goal with user-defined robustness. When the specification is not satisfied, the minimum violation solution can be found. The proposed path planning and funnel control algorithm can realize the collaborative design of the path planning and control of the wheeled mobile robot, which effectively improve computing efficiency and simplify computational complexity. The study can expand the application range of signal temporal logic in mobile robot path planning, and increase the system robustness.
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institution Kabale University
issn 2096-5427
language zho
publishDate 2022-12-01
publisher Editorial Office of Control and Information Technology
record_format Article
series Kongzhi Yu Xinxi Jishu
spelling doaj-art-28aca80d2bbc4f7a8e8b7234f38c77a22025-08-25T06:47:55ZzhoEditorial Office of Control and Information TechnologyKongzhi Yu Xinxi Jishu2096-54272022-12-01505532482205Path Planning and Funnel Control for Wheeled Mobile Robot Based on Signal Temporal LogicTIAN ChangZHU HuajieYANG YanSHI ZhongjiaoLIU ZhijieTemporal logic can ensure the accurate description and execution of task specifications by providing a rich specification language. This paper uses relevant robust semantics to consider continuous-time systems under signal temporal logic specification fragments and uses a funnel-based feedback control law to realize collaborative design of path planning and control of wheeled mobile robot. This design not only introduces a strict and effective formal verification method, but also provides a computationally-efficient funnel-based feedback control law. Firstly, it describes the mission by signal temporal logic. Then, it transforms the description into robust formula. Finally, using the funnel-based feedback control law, it makes the robust semantics of the robust formula maximum to realize the collaborative design of path planning and control. Simulation is based on the wheeled mobile robot kinematics model, and the results show that the collaborative design method proposed in this paper is effective. When the specification is physically met, the system can achieve the goal with user-defined robustness. When the specification is not satisfied, the minimum violation solution can be found. The proposed path planning and funnel control algorithm can realize the collaborative design of the path planning and control of the wheeled mobile robot, which effectively improve computing efficiency and simplify computational complexity. The study can expand the application range of signal temporal logic in mobile robot path planning, and increase the system robustness.http://ctet.csrzic.com/thesisDetails#10.13889/j.issn.2096-5427.2022.06.400signal temporal logicfunnel controlwheeled mobile robotpath planningcollaborative design
spellingShingle TIAN Chang
ZHU Huajie
YANG Yan
SHI Zhongjiao
LIU Zhijie
Path Planning and Funnel Control for Wheeled Mobile Robot Based on Signal Temporal Logic
Kongzhi Yu Xinxi Jishu
signal temporal logic
funnel control
wheeled mobile robot
path planning
collaborative design
title Path Planning and Funnel Control for Wheeled Mobile Robot Based on Signal Temporal Logic
title_full Path Planning and Funnel Control for Wheeled Mobile Robot Based on Signal Temporal Logic
title_fullStr Path Planning and Funnel Control for Wheeled Mobile Robot Based on Signal Temporal Logic
title_full_unstemmed Path Planning and Funnel Control for Wheeled Mobile Robot Based on Signal Temporal Logic
title_short Path Planning and Funnel Control for Wheeled Mobile Robot Based on Signal Temporal Logic
title_sort path planning and funnel control for wheeled mobile robot based on signal temporal logic
topic signal temporal logic
funnel control
wheeled mobile robot
path planning
collaborative design
url http://ctet.csrzic.com/thesisDetails#10.13889/j.issn.2096-5427.2022.06.400
work_keys_str_mv AT tianchang pathplanningandfunnelcontrolforwheeledmobilerobotbasedonsignaltemporallogic
AT zhuhuajie pathplanningandfunnelcontrolforwheeledmobilerobotbasedonsignaltemporallogic
AT yangyan pathplanningandfunnelcontrolforwheeledmobilerobotbasedonsignaltemporallogic
AT shizhongjiao pathplanningandfunnelcontrolforwheeledmobilerobotbasedonsignaltemporallogic
AT liuzhijie pathplanningandfunnelcontrolforwheeledmobilerobotbasedonsignaltemporallogic