Robust affine maneuver formation control based of second-order multi-agent grid inspection systems

Grid formation inspection is the future development trend of grid inspection. Aim to the robust control problem of multi-agent grid inspection system in complex environment, this paper proposes a formation control algorithm with prescribed performance. The dynamic model of follower distance error is...

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Main Authors: Peng Zhang, Dengjun Ma, Peng Liu, Mengwei Li
Format: Article
Language:English
Published: Frontiers Media S.A. 2022-09-01
Series:Frontiers in Energy Research
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fenrg.2022.972999/full
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author Peng Zhang
Dengjun Ma
Peng Liu
Mengwei Li
author_facet Peng Zhang
Dengjun Ma
Peng Liu
Mengwei Li
author_sort Peng Zhang
collection DOAJ
description Grid formation inspection is the future development trend of grid inspection. Aim to the robust control problem of multi-agent grid inspection system in complex environment, this paper proposes a formation control algorithm with prescribed performance. The dynamic model of follower distance error is given in the leader-follower framework using a symbolic Laplace matrix. Performance bounds are set on the sliding mode error by prescribed performance control. Then, the convergence and stability of the proposed control algorithm are not only proved by the Lyapunov stability theorem, but also the error state of the system converges to the prescribed performance bound. Finally, the simulation results show that the follower can follow the leader despite external interference and the validity of the proposed algorithm.
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spelling doaj.art-2ce07e42d3ed4bcaa28363bad151d5d22022-12-22T03:50:35ZengFrontiers Media S.A.Frontiers in Energy Research2296-598X2022-09-011010.3389/fenrg.2022.972999972999Robust affine maneuver formation control based of second-order multi-agent grid inspection systemsPeng ZhangDengjun MaPeng LiuMengwei LiGrid formation inspection is the future development trend of grid inspection. Aim to the robust control problem of multi-agent grid inspection system in complex environment, this paper proposes a formation control algorithm with prescribed performance. The dynamic model of follower distance error is given in the leader-follower framework using a symbolic Laplace matrix. Performance bounds are set on the sliding mode error by prescribed performance control. Then, the convergence and stability of the proposed control algorithm are not only proved by the Lyapunov stability theorem, but also the error state of the system converges to the prescribed performance bound. Finally, the simulation results show that the follower can follow the leader despite external interference and the validity of the proposed algorithm.https://www.frontiersin.org/articles/10.3389/fenrg.2022.972999/fullmulti-agent systemsgrid inspection systemsrobustunknown disturbancesliding mode controlprescribed performance control
spellingShingle Peng Zhang
Dengjun Ma
Peng Liu
Mengwei Li
Robust affine maneuver formation control based of second-order multi-agent grid inspection systems
Frontiers in Energy Research
multi-agent systems
grid inspection systems
robust
unknown disturbance
sliding mode control
prescribed performance control
title Robust affine maneuver formation control based of second-order multi-agent grid inspection systems
title_full Robust affine maneuver formation control based of second-order multi-agent grid inspection systems
title_fullStr Robust affine maneuver formation control based of second-order multi-agent grid inspection systems
title_full_unstemmed Robust affine maneuver formation control based of second-order multi-agent grid inspection systems
title_short Robust affine maneuver formation control based of second-order multi-agent grid inspection systems
title_sort robust affine maneuver formation control based of second order multi agent grid inspection systems
topic multi-agent systems
grid inspection systems
robust
unknown disturbance
sliding mode control
prescribed performance control
url https://www.frontiersin.org/articles/10.3389/fenrg.2022.972999/full
work_keys_str_mv AT pengzhang robustaffinemaneuverformationcontrolbasedofsecondordermultiagentgridinspectionsystems
AT dengjunma robustaffinemaneuverformationcontrolbasedofsecondordermultiagentgridinspectionsystems
AT pengliu robustaffinemaneuverformationcontrolbasedofsecondordermultiagentgridinspectionsystems
AT mengweili robustaffinemaneuverformationcontrolbasedofsecondordermultiagentgridinspectionsystems