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Digital control of space robot manipulators with velocity type joint controller using transpose of generalized Jacobian matrix

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Abstract

For free floating space robots having manipulators, we have proposed a discrete-time tracking control method using the transpose of Generalized Jacobian Matrix (GJM). Control inputs of the control method are joint torques of the manipulator. In this paper, the control method is augmented for angular velocity inputs of the joints. Computer simulations have shown the effectiveness of the augmented method.

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Abbreviations

Σ I :

inertial coordinate frame

Σ B :

base coordinate frame

Σ E :

end-effector coordinate frame

Σ T :

target coordinate frame

r E :

position vector of Σ E with respect to Σ I

r T :

position vector of Σ T with respect to Σ I

ν E :

linear velocity vector of Σ E with respect to Σ I

ω E :

angular velocity vector of Σ E with respect to Σ I

q :

joint angle vector

ϕ * :

angle vector representing the orientation of Σ* with respect to Σ I

E :

identity matrix

I A * :

rotation matrix from Σ* (* = int, T) to Σ I

:

Tilde operator stands for a cross product such that \( \tilde r \) a = r × a

References

  1. 1.

    Xu Y, Kanade T (eds) (1993) Space robotics: dynamics and control. Kluwer Academic

  2. 2.

    Taira Y, Sagara S, Katoh R (2001) Digital control of a space robot using the transpose of the generalized Jacobian matrix (in Japanese). Trans JSME Ser C 67(654):436–442

    Google Scholar 

  3. 3.

    Taira Y, Sagara S, Katoh R (2001) Digital control of a space robot using the transpose of the generalized Jacobian matrix (2nd report, A unified approach for torque and velocity type control laws) (in Japanese). Trans JSME Ser C 67(663):3540–3547

    Google Scholar 

  4. 4.

    Taira Y, Sagara S (2005) A design of digital adaptive control systems for space robot manipulators using a transpose of the generalized Jacobian matrix. J Artif Life Robotics 9:41–45

    Article  Google Scholar 

  5. 5.

    Sagara S, Taira Y (2007) Digital tracking control of space robots using transpose of generalized Jacobian matrix. J Artif Life Robotics 11:82–86

    Article  Google Scholar 

  6. 6.

    Sagara S, Taira Y (2008) Cooperative manipulation of a floating object by some space robots: application of a tracking control method using transpose of the generalized Jacobian matrix. J Artif Life Robotics 12:138–141

    Article  Google Scholar 

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Author information

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Authors

Corresponding author

Correspondence to Shinichi Sagara.

Additional information

This work was presented in part and awarded as Best Paper Award at the 13th International Symposium on Artificial Life and Robotics, Oita, Japan, January 31–February 2, 2008

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Cite this article

Sagara, S., Taira, Y. Digital control of space robot manipulators with velocity type joint controller using transpose of generalized Jacobian matrix. Artif Life Robotics 13, 355–358 (2008). https://doi.org/10.1007/s10015-008-0584-7

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Key words

  • Space robot
  • Manipulator
  • Digital control
  • Generalized Jacobian Matrix
  • Tracking control