Geometric Impedance Control on SE(3) for Robotic Manipulators

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

Autoren

  • Joohwan Seo
  • Nikhil Potu Surya Prakash
  • Jongeun Choi
  • Roberto Horowitz
  • Alexander Rose

Organisationseinheiten

Externe Organisationen

  • University of California at Berkeley
  • Yonsei University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)276-283
Seitenumfang8
FachzeitschriftIFAC-PapersOnLine
Jahrgang56
Ausgabenummer2
Frühes Online-Datum22 Nov. 2023
PublikationsstatusVeröffentlicht - 2023
Veranstaltung22nd IFAC World Congress - Yokohama, Japan
Dauer: 9 Juli 202314 Juli 2023

Abstract

After its introduction, impedance control has been utilized as a primary control scheme for robotic manipulation tasks that involve interaction with unknown environments. While impedance control has been extensively studied, the geometric structure of SE(3) for the robotic manipulator itself and its use in formulating a robotic task has not been adequately addressed. In this paper, we propose a differential geometric approach to impedance control. Given a left-invariant error metric in SE(3), the corresponding error vectors in position and velocity are first derived. We then propose the impedance control schemes that adequately account for the geometric structure of the manipulator in SE(3) based on a left-invariant potential function. The closed-loop stabilities for the proposed control schemes are verified using Lyapunov function-based analysis. The proposed control design clearly outperformed a conventional impedance control approach when tracking challenging trajectory profiles.

ASJC Scopus Sachgebiete

Zitieren

Geometric Impedance Control on SE(3) for Robotic Manipulators. / Seo, Joohwan; Prakash, Nikhil Potu Surya; Choi, Jongeun et al.
in: IFAC-PapersOnLine, Jahrgang 56, Nr. 2, 2023, S. 276-283.

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

Seo, J, Prakash, NPS, Choi, J, Horowitz, R & Rose , A 2023, 'Geometric Impedance Control on SE(3) for Robotic Manipulators', IFAC-PapersOnLine, Jg. 56, Nr. 2, S. 276-283. https://doi.org/10.48550/arXiv.2211.07945, https://doi.org/10.1016/j.ifacol.2023.10.1581
Seo, J., Prakash, N. P. S., Choi, J., Horowitz, R., & Rose , A. (2023). Geometric Impedance Control on SE(3) for Robotic Manipulators. IFAC-PapersOnLine, 56(2), 276-283. https://doi.org/10.48550/arXiv.2211.07945, https://doi.org/10.1016/j.ifacol.2023.10.1581
Seo J, Prakash NPS, Choi J, Horowitz R, Rose A. Geometric Impedance Control on SE(3) for Robotic Manipulators. IFAC-PapersOnLine. 2023;56(2):276-283. Epub 2023 Nov 22. doi: 10.48550/arXiv.2211.07945, 10.1016/j.ifacol.2023.10.1581
Seo, Joohwan ; Prakash, Nikhil Potu Surya ; Choi, Jongeun et al. / Geometric Impedance Control on SE(3) for Robotic Manipulators. in: IFAC-PapersOnLine. 2023 ; Jahrgang 56, Nr. 2. S. 276-283.
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keywords = "Asymptotic Stabilization, Autonomous Robotic Systems, Geometric Control, Impedance Control, Intelligent Robotics, Robotic Manipulators, Tracking",
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T1 - Geometric Impedance Control on SE(3) for Robotic Manipulators

AU - Seo, Joohwan

AU - Prakash, Nikhil Potu Surya

AU - Choi, Jongeun

AU - Horowitz, Roberto

AU - Rose , Alexander

PY - 2023

Y1 - 2023

N2 - After its introduction, impedance control has been utilized as a primary control scheme for robotic manipulation tasks that involve interaction with unknown environments. While impedance control has been extensively studied, the geometric structure of SE(3) for the robotic manipulator itself and its use in formulating a robotic task has not been adequately addressed. In this paper, we propose a differential geometric approach to impedance control. Given a left-invariant error metric in SE(3), the corresponding error vectors in position and velocity are first derived. We then propose the impedance control schemes that adequately account for the geometric structure of the manipulator in SE(3) based on a left-invariant potential function. The closed-loop stabilities for the proposed control schemes are verified using Lyapunov function-based analysis. The proposed control design clearly outperformed a conventional impedance control approach when tracking challenging trajectory profiles.

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KW - Asymptotic Stabilization

KW - Autonomous Robotic Systems

KW - Geometric Control

KW - Impedance Control

KW - Intelligent Robotics

KW - Robotic Manipulators

KW - Tracking

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