Abstract
In this paper, a target approachable force-guided control with adaptive accommodation for complex assembly is presented. Complex assembly (CA) is defined as a task which deals with complex shaped parts including concavity, or whose environment is so complex that unexpected contacts occur frequently during insertion. CA tasks are encountered frequently in the field of manufacturing automation and various robot applications. To make CA successful, both the bounded wrench condition and the target approachability condition should be satisfied simultaneously during insertion. The bounded wrench condition can be satisfied by properly designing accommodation parameters, which depends on the tolerable stiffness for an assembly task, not to exceed the prescribed contact wrench. On the other hand, the target approachability condition can be satisfied by determining an admissible twist minimizing the deviation between the current and target twist. By applying convex optimization techniques, an optimum target approaching twist can be determined at each instantaneous contact state as a global minimum solution. Incorporated with an admissible perturbation method, a new CA algorithm using only the sensed resultant wrench and the target twist is developed without motion planning or contact analysis (which requires the geometry of the part and the environment). To verify the feasibility of the new assembly algorithm, a wench sensor model based on a minimum distance algorithm has been developed and used to estimate contact wrenches in graphic assembly simulation. Finally, a VME bus-based real-time control system is built for experiments on various CA tasks. The T-insertion task as a planar CA, and the double-peg assembly task as a spatial CA, were successfully executed by implementing the new force-guided control with adaptive accommodation.
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References
Arora, 1989,Introduction to Optimum Design, McGraw-Hill, Singapore.
Asada, H., 1993, “Representation and Learning of Nonlinear Compliance Using Neural Nets,”IEEE Trans. Robotics and Automation, Vol. 9, No. 6, pp. 863–867.
Ball, R. S., 1900,A Treatise on the Theory of Screws, Cambridge University Press, Cambridge.
Brost, R. C. and Christiansen, A. D., 1994,Probabilistic analysis of manipulation tasks: A computational framework, Technical Report SAND92-2033, Sandia National Laboratories, Albuquerque, NM.
Canny, J. F., 1998, “On computability of the fine motion plan,”Proc. of the IEEE Int. Conf. On Robotics and Automation, pp. 177–182.
Deneb Robotics Inc., 1994,IGRIP Graphic Simulation Language (GSL) Reference Manual.
Erdmann, M., 1986, “Using backprojection for the fine motion planning with uncertainty,”Int. J. Robotics research, Res. 5 (1), pp. 19–45.
Gilbert, E. G., Johnson, D. W. and Keerthi, S. S., 1988, A Fasr Procedure for computing the Distance Between Complex Objects in Tree-Dimensional Space,”IEEE Journal of Robotics and Automation, Vol. 4, No. 2, pp. 193–203.
Gilbert, E. G. and Ong, C. J., 1994, “New Distance for the Separation and Penetration of Objects,”Proc. IEEE Int. Conf. Robotics and Automation, pp. 579–586.
Hirai, S. and Asada, H., 1993, “Kinematics and Statics of Manipulation Using the Theory of Polyhedral Convex Cones,”The International Journal of Robotics Research, Vol. 12, No. 5, pp. 434–447.
Hwang, Y. K., Kang, S., Lee, S., Park, S., Cho, K., Kim H. and C. W. Lee, 1998, “Human Interface, Automatic Planning and Control of a Humanoid Robot,”International Journal of Robotics Research, Vol. 17, No. 11, pp. 1131–1149.
Kang, S., Hwang, Y. K., Kim, M. Lee, K. and Lee, C., 1997, “A Compliant Motion Control for Insertion of Complex Shaped Objects using Contact,”Proc. IEEE Int. Conf. Robotics and Automation, pp. 841–846.
Kang, S., Hwang, Yong K., Kim, Mun S. and Lee, Kyo I. 1998, “Assembly of Complex Shaped Objects: A Stiffness Control with Contact Localization,”KSME Journal, Vol. 12, No. 3, pp. 451–460.
Kang, S., Hwang, Yong K., Kim, Mun S. and Lee, Kyo I. and Lee, C., 1998, “A Compliant Controller Dynamically Updating the Compliance Center by Contact Localization,”Robotica, Vol. 16, part 5, pp. 543–550.
Kang, S., Kim, M., Lee, C. W. and Lee, K., 1998, “A Target Approachable Force-Guided Control for Complex Assembly,” Proc. IEEE Int. Conf. Robotics and Automation, pp. 826–831, Leuven, Belgium.
Latombe, J. C., Lazanas, A. and Shekhar, S., 1991, “Robot motion planning with uncertainty in control and sensing,”Artificial Intelligence, Vol. 52, pp. 1–47.
Lee, S. and Asada, H., 1997, “Assembly Automation using Vibratory End Effector: Modeling and Stability Analysis,”Proc. IEEE Int. Conf. Robotics and Automation, pp. 1980–1985.
Lee, C. W., Kim, M. S., Hong, Y. S., et. al, 1998,Development of Humanoid Robot System, Korea Institute of Science and Technology, Annual Report.
Lozano-Perez, M. T. Mason and R. H Taylor, 1984, “Automatic Synthesis of Fine Motion Strategies for Robotics,”International Journal of Robotics and Research, Res. 3 (1), pp. 3–24.
Peshkin, M. A., 1990, “Programmed Compliance for Error Corrective Assembly,”IEEE Trans. Robotics and Automation, Vol. 6, No. 4, pp. 473–482.
McCarragher, B. J. and Asada, H., 1995, “The Discrete Event Control of Robotic Assembly Tasks,”ASME Journal of Dynamic systems, Meas. And Control, Vol. 117, pp. 384–393.
McCarragher, B. J. and Asada, H., 1995, “The Discrete Event Modeling and Trajectory Planning of Robotic Assembly Tasks,”ASME Journal of Dynamic systems, Measurement and Control, Vol. 117, pp. 394–400.
McCarragher, B. J. and Asada, H., 1993, “Qualitative Template Matching Using Dynamic Process Models for State Transition Recognition of Robotic Assembly,”ASME Journal of Dynamic Systems, Measurement and Control, Vol. 115, pp. 261–269.
Ohwovoriole, M. S. and Roth, B., 1981, “An Extension of Screw Theory,”Journal of Mechanical Design, Vol. 103, October, pp. 725–735.
Rampersad, H. K., 1994,Integrated and Simultaneous Design for Robotic Assembly, John Wiley, Chichester.
Schilling, R. J., 1990,Fundamentals of Robotics: Analysis and Control, Prentice Hall, New York.
Shimmels, J. M. and Peshkin, M. A., 1992, “Admittance Matrix Design for Force-Guided Assembly,”IEEE Trans. Robotics and Automation, Vol. 8, No. 2, pp. 213–227.
Shimmels, J. M. and Peshkin, M. A., 1994, “Force Assembly with Friction,”IEEE Trans. Robotics and Automation, Vol. 10, No. 4, pp. 465–479.
Whitney, D. E., 1982, “Quasi-Static Assembly of Compliantly Supported Rigid Parts,”Journal of Dynamic Systems, Measurement and Control, Vol. 104, pp. 65–77.
Xiao, J. and Zhang, L., 1997, “Contact Constraint Analysis and Determination of Geometrically Valid Contact Formations from Possible Contact Primitives,”IEEE Trans. of Robotics and Automation, Vol. 13, No. 3, pp. 456–466.
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Kang, S., Kim, M., Lee, Cw. et al. A target-approachable force-guided control with adaptive accommodation for complex assembly. KSME International Journal 13, 886–904 (1999). https://doi.org/10.1007/BF03184756
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DOI: https://doi.org/10.1007/BF03184756