Modeling and Control of Two Manipulators Handling a Flexible Beam

This paper seeks to develop simple yet practical and efficient control scheme that enables cooperating arms to handle a flexible beam. Specifically the problem studied herein is that of two arms rigidly grasping a flexible beam and such capable of generating forces/moments in such away as to move a flexible beam along a predefined trajectory. The paper develops a sliding mode control law that provides robustness against model imperfection and uncertainty. It also provides an implicit stability proof. Simulation results for two three joint arms moving a flexible beam, are presented to validate the theoretical results. Keywords—Sliding mode control, cooperative manipulators.

[1]  M. A. Unseren.  A review of a method for dynamic load distribution, dynamical modeling, and explicit internal force control when two manipulators mutually lift and transport a rigid body object , 1997 .

[2]  Werner Kraus,et al.  Hybrid position/force coordination for dual-arm manipulation of flexible materials , 1997, Proceedings of the 1997 IEEE/RSJ International Conference on Intelligent Robot and Systems. Innovative Robotics for Real-World Applications. IROS '97.

[3]  Stanley A. Schneider,et al.  Object impedance control for cooperative manipulation: theory and experimental results , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[4]  Haruhisa Kawasaki,et al.  Adaptive decentralized coordinated control of multiple robot arms , 2003 .

[5]  Romeo Ortega,et al.  Passivity-based Control of Euler-Lagrange Systems , 1998 .

[6]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[7]  Stephen M. Rock,et al.  Experiments in object impedance control for flexible objects , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[8]  Yunhui Liu,et al.  Modeling and impedance control of a two-manipulator system handling a flexible beam , 1997, Proceedings of International Conference on Robotics and Automation.

[9]  J. J. Slotine,et al.  Tracking control of non-linear systems using sliding surfaces with application to robot manipulators , 1983, 1983 American Control Conference.

[10]  Kar-Keung D. Young.  Controller Design for a Manipulator Using Theory of Variable Structure Systems , 1978, IEEE Transactions on Systems, Man, and Cybernetics.

[11]  Tien C. Hsia,et al.  Internal force-based impedance control of dual-arm manipulation of flexible objects , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[12]  Pasquale Chiacchio,et al.  Chapter 1 Multi-arm robot systems: A survey , 1998 .

[13]  Zexiang Li,et al.  A unified geometric approach to modeling and control of constrained mechanical systems , 2002, IEEE Trans. Robotics Autom..

[14]  Yuan F. Zheng,et al.  Efficient trajectory planning for two manipulators to deform flexible materials with experiments , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[15]  Yuan F. Zheng,et al.  Modeling and Control of Two Manipulators Handling a Flexible Beam , 2009 .

[16]  Robert G. Bonitz,et al.  Internal force-based impedance control for cooperating manipulators , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[17]  D. Soloway.  CONTROLLED MOTION IN AN ELASTIC WORLD , 2022 .

[18]  Stanley A. Schneider.  Experiments in the dynamic and strategic control of cooperating manipulators , 1990 .

[19]  James K. Mills,et al.  Multi-robot control for flexible fixtureless assembly of flexible sheet metal auto body parts , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[20]  F. L. Lewis,et al.  Robust Control for the Tracking of Robot Motion , 1990, 1990 American Control Conference.