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Serbian Journal of Electrical Engineering
2015, vol. 12, iss. 1, pp. 81-98
article language: English
document type: unclassified
published on: 24/07/2015
doi: 10.2298/SJEE1501081P
Compliant behaviour of redundant robot arm: Experiments with null-space
University of Belgrade, Faculty of Mechanical Engineering



Smart Robotic Systems for Customized Manufacturing (MESTD - 35007)


This paper presents theoretical and experimental aspects of Jacobian nullspace use in kinematically redundant robots for achieving kinetostatically consistent control of their compliant behavior. When the stiffness of the robot endpoint is dominantly influenced by the compliance of the robot joints, generalized stiffness matrix can be mapped into joint space using appropriate congruent transformation. Actuation stiffness matrix achieved by this transformation is generally nondiagonal. Off-diagonal elements of the actuation matrix can be generated by redundant actuation only (polyarticular actuators), but such kind of actuation is very difficult to realize practically in technical systems. The approach of solving this problem which is proposed in this paper is based on the use of kinematic redundancy and nullspace of the Jacobian matrix. Evaluation of the developed analytical model was done numerically by a minimal redundant robot with one redundant d.o.f. and experimentally by a 7 d.o.f. Yaskawa SIA 10F robot arm.



Albu-Schaffer, A., Fischer, M., Schreiber, G., Schoeppe, F., Hirzinger, G. (2004) Soft robotics: What Cartesian stiffness can we obtain with passively compliant, uncoupled joints?. in: IEEE/RSJ International Conference on Intelligent Robots and Systems, 28 Sept.−02 Oct, Vol. 4, pp. 3295 - 3301
Albu‐Schäffer, A., Haddadin, S., Ott, Ch., Stemmer, A., Wimböck, T., Hirzinger, G. (2007) The DLR lightweight robot: design and control concepts for robots in human environments. Industrial Robot: An International Journal, 34(5): 376-385
Baillieul, J., Hollerbach, J., Brockett, R. (1984) Programming and control of kinematically redundant manipulators. in: The 23rd IEEE Conference on Decision and Control, pp. 768 −774
Hogan, N. (1985) Impedance control: An approach to manipulation. Transactions of the ASME, Journal of Dynamic Systems, Measurement and Control, vol. 107, str. 1-7
Khatib, O. (1987) A unified approach for motion and force control of robot manipulators: The operational space formulation. IEEE Journal on Robotics and Automation, 3(1): 43-53
Khatib, O. (1990) Motion/force redundancy of manipulators. in: Japan-U.S.A. Symposium on Flexible Automation, Kyoto, Japan, pp. 337 −342
Liegeois, A. (1977) Automatic supervisory control of the configuration and behavior of multibody mechanisms. IEEE Transactions on Systems Man and Cybernetics, vol.SMC-7, br. 12, str. 12-15, December
Osu, R., Gomi, H. (1999) Multijoint muscle regulation: Mechanisms examined by measured human arm stiffness and EMG signals. Journal of Neurophysiology, Vol. 81, No. 4, pp.1458 −1468
Ott, C. (2008) Cartesian Impedance Control of Redundant and Flexible-Joint Robots. Springer Verlag
Patel, R.V., Shadpey, F. (2005) Control of Redundant Robot Manipulators-Theory and Experiments. Springer Verlag
Salisbury, J. (1980) Active stiffness control of a manipulator in cartesian coordinates. in: 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes, pp. 95 - 100
Stückler, J., Behnke, S. (2012) Compliant Task-Space Control with Back-Drivable Servo Actuators. Lecture Notes in Computer Science, : 78-89
Svinin, M.M., Hosoe, S., Uchiyama, M., Luo, Z.W. (2002) On the stiffness and stiffness control of redundant manipulators. in: IEEE International Conference on Robotics and Automation, ICRA’02, Washington DC, 11−15 May, pp. 2393 −2399
Yanai, H., Takeuchi, K., Takane, Y. (2011) Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition. Springer Science and Business Media, New York