Skip to main content
Top

2022 | OriginalPaper | Chapter

Energy Gradient Descent Method for Actuation of a Direct-Drive Spherical Robotic Wrist

Authors : Mengke Li, Yaqing Deng, Kun Bai

Published in: Intelligent Robotics and Applications

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper presents an energy gradient descent method for actuating a spherical robotic wrist which is capable of providing three-DOF rotations in one joint. By formulating the relationship between the magnetic energy for driving the spherical rotor and the current inputs supplied to the motor, an energy gradient descent method is proposed by adjusting the supplied current inputs for shaping a minimum magnetic energy point at the desired rotor state. As a result, the rotor will approach to the desired state automatically without the need of any feedback control laws. The solutions to the supplied currents for shaping a desired energy profile can be computed in real-time with a magnetic-flux-based model. The proposed method has been validated with both numerical simulations and experimental tests performed on a cooperative robotic manipulator equipped with a spherical wrist actuator.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Gruijthuijsen, C., Borghesan, G., Reynaerts, D., Poorten, E.V.: A hybrid active/passive wrist approach for increasing virtual fixture stiffness in comanipulated robotic minimally invasive surgery. IEEE Robot. Autom. Lett. 4(3), 3029–3036 (2019)CrossRef Gruijthuijsen, C., Borghesan, G., Reynaerts, D., Poorten, E.V.: A hybrid active/passive wrist approach for increasing virtual fixture stiffness in comanipulated robotic minimally invasive surgery. IEEE Robot. Autom. Lett. 4(3), 3029–3036 (2019)CrossRef
2.
go back to reference Hong, M.B., Jo, Y.: Design of a novel 4-DOF wrist-type surgical instrument with enhanced rigidity and dexterity. IEEE/ASME Trans. Mechatron. 19(2), 500–511 (2014)CrossRef Hong, M.B., Jo, Y.: Design of a novel 4-DOF wrist-type surgical instrument with enhanced rigidity and dexterity. IEEE/ASME Trans. Mechatron. 19(2), 500–511 (2014)CrossRef
3.
go back to reference Wu, G.C.Y., Podolsky, D.J., Looi, T., Kahrs, L.A., Drake, J.M., Forrest, C.R.: A 3 mm wristed instrument for the da vinci robot: setup, characterization, and phantom tests for cleft palate repair. IEEE Trans. Med. Robot. Bionics. 2(2), 130–139 (2020)CrossRef Wu, G.C.Y., Podolsky, D.J., Looi, T., Kahrs, L.A., Drake, J.M., Forrest, C.R.: A 3 mm wristed instrument for the da vinci robot: setup, characterization, and phantom tests for cleft palate repair. IEEE Trans. Med. Robot. Bionics. 2(2), 130–139 (2020)CrossRef
4.
go back to reference Al-Widyan, K., Ma, X.Q., Angeles, J.: The robust design of parallel spherical robots. Mech. Mach. Theory 46(3), 335–343 (2011)CrossRef Al-Widyan, K., Ma, X.Q., Angeles, J.: The robust design of parallel spherical robots. Mech. Mach. Theory 46(3), 335–343 (2011)CrossRef
5.
go back to reference Rossini, L., Mingard, S., Boletis, A., Forzani, E., Onillon, E., Perriard, Y.: Rotor design optimization for a reaction sphere actuator. IEEE Trans. Ind. Appl. 50(3), 1706–1716 (2014)CrossRef Rossini, L., Mingard, S., Boletis, A., Forzani, E., Onillon, E., Perriard, Y.: Rotor design optimization for a reaction sphere actuator. IEEE Trans. Ind. Appl. 50(3), 1706–1716 (2014)CrossRef
6.
go back to reference Fernandes, J.F.P., Branco, P.J.C.: The shell-like spherical induction motor for low-speed traction: electromagnetic design, analysis, and experimental tests. IEEE Trans. Industr. Electron. 63(7), 4325–4335 (2016)CrossRef Fernandes, J.F.P., Branco, P.J.C.: The shell-like spherical induction motor for low-speed traction: electromagnetic design, analysis, and experimental tests. IEEE Trans. Industr. Electron. 63(7), 4325–4335 (2016)CrossRef
7.
go back to reference Bai, K., Lee, K.-M.: Permanent Magnet Spherical Motors: Model and Field Based Approaches for Design Sensing and Control. Springer, New York (2018)CrossRef Bai, K., Lee, K.-M.: Permanent Magnet Spherical Motors: Model and Field Based Approaches for Design Sensing and Control. Springer, New York (2018)CrossRef
8.
go back to reference Bai, K., Lee, K.-M.: Direct field-feedback control of a ball-joint-like permanent-magnet spherical motor. IEEE/ASME Trans. Mechatron. 19(3), 975–986 (2014)CrossRef Bai, K., Lee, K.-M.: Direct field-feedback control of a ball-joint-like permanent-magnet spherical motor. IEEE/ASME Trans. Mechatron. 19(3), 975–986 (2014)CrossRef
9.
go back to reference Bai, K., Xu, R., Lee, K.-M., Dai, W., Huang, Y.: Design and development of a spherical motor for conformal printing of curved electronics. IEEE Trans. Industr. Electron. 65(11), 9190–9200 (2018)CrossRef Bai, K., Xu, R., Lee, K.-M., Dai, W., Huang, Y.: Design and development of a spherical motor for conformal printing of curved electronics. IEEE Trans. Industr. Electron. 65(11), 9190–9200 (2018)CrossRef
10.
go back to reference Bai, K., Chen, W., Lee, K.M., Que, Z., Huang, R.: Spherical wrist with hybrid motion-impedance control for enhanced robotic manipulations. IEEE Trans. Rob. 38(2), 1174–1185 (2022)CrossRef Bai, K., Chen, W., Lee, K.M., Que, Z., Huang, R.: Spherical wrist with hybrid motion-impedance control for enhanced robotic manipulations. IEEE Trans. Rob. 38(2), 1174–1185 (2022)CrossRef
11.
go back to reference Bai, K., Ji, J., Lee, K.-M., Zhang, S.: A two-mode six-DOF motion system based on a ball-joint-like spherical motor for haptic applications. Comput. Math. Appl. 64(5), 978–987 (2012)CrossRef Bai, K., Ji, J., Lee, K.-M., Zhang, S.: A two-mode six-DOF motion system based on a ball-joint-like spherical motor for haptic applications. Comput. Math. Appl. 64(5), 978–987 (2012)CrossRef
13.
go back to reference Jackson, J.D.: Classical Electrodynamics. Wiley, Hoboken (1998) Jackson, J.D.: Classical Electrodynamics. Wiley, Hoboken (1998)
14.
go back to reference Cheng, D.K.: Field and Wave Electromagnetics. Pearson, London (2007) Cheng, D.K.: Field and Wave Electromagnetics. Pearson, London (2007)
15.
go back to reference Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press, New York (2004)CrossRef Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press, New York (2004)CrossRef
16.
go back to reference Magnus, J.R., Neudecker, H.: Matrix Differential Calculus with Applications in Statistics and Econometrics. John Wiley & sons, Chichester (1999)MATH Magnus, J.R., Neudecker, H.: Matrix Differential Calculus with Applications in Statistics and Econometrics. John Wiley & sons, Chichester (1999)MATH
17.
go back to reference Shabana, A.: Dynamics of Multibody Systems. Cambridge University Press, New York (2020)CrossRef Shabana, A.: Dynamics of Multibody Systems. Cambridge University Press, New York (2020)CrossRef
Metadata
Title
Energy Gradient Descent Method for Actuation of a Direct-Drive Spherical Robotic Wrist
Authors
Mengke Li
Yaqing Deng
Kun Bai
Copyright Year
2022
DOI
https://doi.org/10.1007/978-3-031-13835-5_68

Premium Partner