Robust decoupling through algebraic output feedback in manipulation systems

Paolo Mercorelli

Kybernetika (2010)

  • Volume: 46, Issue: 5, page 850-869
  • ISSN: 0023-5954

Abstract

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This paper investigates the geometric and structural characteristics involved in the control of general mechanisms and manipulation systems. These systems consist of multiple cooperating linkages that interact with a reference member of the mechanism (the “object”) by means of contacts on any available part of their links. Grasp and manipulation of an object by the human hand is taken as a paradigmatic example for this class of manipulators. Special attention is devoted to the output specification and its controllability. An example design of a force controller using algebraic output feedback is presented at the end of this paper. In this example, a matrix representing a static output feedback is designed. The coefficients of this matrix are the weights for the sensed outputs. With the approach proposed in this paper, a robust decoupling is obtained between the output feedback and the contact forces and joint positions.

How to cite

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Mercorelli, Paolo. "Robust decoupling through algebraic output feedback in manipulation systems." Kybernetika 46.5 (2010): 850-869. <http://eudml.org/doc/196468>.

@article{Mercorelli2010,
abstract = {This paper investigates the geometric and structural characteristics involved in the control of general mechanisms and manipulation systems. These systems consist of multiple cooperating linkages that interact with a reference member of the mechanism (the “object”) by means of contacts on any available part of their links. Grasp and manipulation of an object by the human hand is taken as a paradigmatic example for this class of manipulators. Special attention is devoted to the output specification and its controllability. An example design of a force controller using algebraic output feedback is presented at the end of this paper. In this example, a matrix representing a static output feedback is designed. The coefficients of this matrix are the weights for the sensed outputs. With the approach proposed in this paper, a robust decoupling is obtained between the output feedback and the contact forces and joint positions.},
author = {Mercorelli, Paolo},
journal = {Kybernetika},
keywords = {geometric approach; manipulators; force/motion control; geometric approach; manipulators; force/motion control},
language = {eng},
number = {5},
pages = {850-869},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Robust decoupling through algebraic output feedback in manipulation systems},
url = {http://eudml.org/doc/196468},
volume = {46},
year = {2010},
}

TY - JOUR
AU - Mercorelli, Paolo
TI - Robust decoupling through algebraic output feedback in manipulation systems
JO - Kybernetika
PY - 2010
PB - Institute of Information Theory and Automation AS CR
VL - 46
IS - 5
SP - 850
EP - 869
AB - This paper investigates the geometric and structural characteristics involved in the control of general mechanisms and manipulation systems. These systems consist of multiple cooperating linkages that interact with a reference member of the mechanism (the “object”) by means of contacts on any available part of their links. Grasp and manipulation of an object by the human hand is taken as a paradigmatic example for this class of manipulators. Special attention is devoted to the output specification and its controllability. An example design of a force controller using algebraic output feedback is presented at the end of this paper. In this example, a matrix representing a static output feedback is designed. The coefficients of this matrix are the weights for the sensed outputs. With the approach proposed in this paper, a robust decoupling is obtained between the output feedback and the contact forces and joint positions.
LA - eng
KW - geometric approach; manipulators; force/motion control; geometric approach; manipulators; force/motion control
UR - http://eudml.org/doc/196468
ER -

References

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  1. Basile, G., Marro, G., Controlled and Conditioned Invariants in Linear System Theory, Prentice Hall, New Jersey, 1992. (1992) Zbl0758.93002MR1149379
  2. Bhattacharyya, S. P., 10.1137/0604053, SIAM J. Algebraic Discrete Methods 4 (1983), 4, 529–533. (1983) MR0721623DOI10.1137/0604053
  3. Bicchi, A., Melchiorri, C., Balluchi, D., 10.1109/70.370503, IEEE Trans. Automat. Control 11 (1995), 2, 215–228. (1995) DOI10.1109/70.370503
  4. Bicchi, A., Prattichizzo, D., 10.1109/70.864226, IEEE Trans. Robotics and Automation 16 (2000), 4, 336–345. (2000) DOI10.1109/70.864226
  5. Bicchi, A., Prattichizzo, D., Mercorelli, P., Vicino, A., Noninteracting force/motion control in general manipulation systems, In: Proc. 35th IEEE Conf. on Decision Control, CDC ’96, Kobe 1996. (1996) 
  6. Isidori, A., Nonlinear Control Systems: An Introduction, Springler-Verlag, Berlin 1989. (1989) MR1015932
  7. Marro, G., Barbagli, F., The algebraic output feedback in the light of dual lattice structures, Kybernetika 35 (1999), 6, 693–706. (1999) MR1747970
  8. Mason, M. T., Salisbury, J. K., Robot Hands and the Mechanics of Manipulation, The MIT Press, Cambridge 1985. (1985) 
  9. Meirovitch, L., Analytical Methods in Vibrations, Macmillan Pub. Co., Inc., New York 1967. (1967) Zbl0166.43803
  10. Mercorelli, P., A subspace to describe grasping internal forces in robotic manipulation systems, J. Math. Control Sci. Appl. 1 (2007), 1, 209-216. (2007) Zbl1170.93317
  11. Mercorelli, P., Geometric structures for the parameterization of non-interacting dynamics for multi-body mechanisms, Internat. J. Pure Appl. Math. 59 (2010), 3, 257–273. (2010) Zbl1203.93054MR2650259
  12. Mercorelli, P., Prattichizzo, D., A geometric procedure for robust decoupling control of contact forces in robotic manipulation, Kybernetika 39 (2003), 4, 433-445. (2003) Zbl1249.93046MR2024524
  13. Prattichizzo, D., Bicchi, A., Consistent task specification for manipulation systems with general kinematics, Amer. Soc. Mech. Engrg. 119 (1997), 760–767. (1997) Zbl1026.70007
  14. Prattichizzo, D., Bicchi, A., Dynamic analysis of mobility and graspability of general manipulation systems, Trans. Robotic Automat. 14 (1998), 2, 251–218. (1998) 
  15. Prattichizzo, D., Mercorelli, P., Motion-decoupled internal force control in grasping with visco-elastic contacts, In: Proc. IEEE Conf. in Robotic and Automation, ICRA 2000, San Francisco 2000. (2000) 
  16. Prattichizzo, D., Mercorelli, P., On some geometric control properties of active suspension systems, Kybernetika 36 (2000), 5, 549–570. (2000) MR1882794
  17. Wonham, W. M., Linear Multivariable Control: A Geometric Approach, Springer Verlag, New York 1979. (1979) Zbl0424.93001MR0569358
  18. Yamamoto, Y., Yun, X., 10.1109/70.538986, IEEE Trans. Robotics Automat. 12 (1996), 5, 816–824. (1996) DOI10.1109/70.538986

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