Control of multiple arms with rolling constraints

The authors present a unified formulation for the control problem of multiple arm systems which accommodates both holonomic and nonholonomic constraints. Several unique control properties of nonholonomic systems are discussed. Several useful results regarding input-output linearization and the zero dynamics in such systems are proved. The analysis and controller design are discussed for multi-arm systems. Results from computer simulations are presented to demonstrate the control algorithms. Simulation results illustrate that rolling and sliding can be effectively controlled.<<ETX>>

[1]  Bernard Roth,et al.  On the planar motion of rigid bodies with point contact , 1986 .

[2]  Kenneth J. Waldron,et al.  Force Distribution in Walking Vehicles , 1990 .

[3]  Carlos Canudas de Wit,et al.  Path following of a 2-DOF wheeled mobile robot under path and input torque constraints , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[4]  David J. Montana,et al.  The Kinematics of Contact and Grasp , 1988, Int. J. Robotics Res..

[5]  Bernard Roth,et al.  Analysis of Multifingered Hands , 1986 .

[6]  Vijay Kumar,et al.  Control of contact conditions for manipulation with multiple robotic systems , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[7]  J. K. Salisbury,et al.  Kinematic and Force Analysis of Articulated Mechanical Hands , 1983 .

[8]  Leopold Alexander Pars,et al.  A Treatise on Analytical Dynamics , 1981 .

[9]  Xiaoping Yun,et al.  Control of rolling contacts in multiple robotic manipulation , 1991, Fifth International Conference on Advanced Robotics 'Robots in Unstructured Environments.

[10]  A. Bloch,et al.  Controllability and stabilizability properties of a nonholonomic control system , 1990, 29th IEEE Conference on Decision and Control.

[11]  Xiaoping Yun,et al.  Coordination of two-arm pushing , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[12]  J. Latombe,et al.  On nonholonomic mobile robots and optimal maneuvering , 1989, Proceedings. IEEE International Symposium on Intelligent Control 1989.

[13]  Zexiang Li,et al.  Motion of two rigid bodies with rolling constraint , 1990, IEEE Trans. Robotics Autom..

[14]  Georges Bastin,et al.  Modelling and control of non-holonomic wheeled mobile robots , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[15]  G. Campion,et al.  Controllability and State Feedback Stabilizability of Nonholonomic Mechanical Systems , 1991 .

[16]  J. Angeles,et al.  Dynamics of Nonholonomic Mechanical Systems Using a Natural Orthogonal Complement , 1991 .

[17]  Gerardo Lafferriere,et al.  Motion planning for controllable systems without drift , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[18]  Claude Samson,et al.  Feedback control of a nonholonomic wheeled cart in Cartesian space , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.