A hybrid algorithm for the kinematic control of redundant robots

Based on both Paden-Kahan subproblems and joint rate control approach, This work presents a new control method, termed hybrid algorithm, for the kinematic control of redundant robots. The hybrid algorithm uses joint rate control first to do kinematic control with optimization for performance criteria through utilizing redundancy, then fix some special joints to let the robots are non-redundant, finally, Paden-Kahan subproblems is utilized to solve residual joints. Therefore, we can get closed-form solutions of robots at position level. Comparing with the numerical iterative method that is a control algorithm with position level, hybrid algorithm is computation effective relatively. The effectiveness of the proposed algorithms has been demonstrated by a 7-DOF serial robot for the avoidance of joint angle limits.

[1]  A. Liegeois,et al.  Automatic supervisory control of the configuration and behavior of multi-body mechanisms , 1977 .

[2]  Guang Chen,et al.  Kernel for Modular Robot Applications: Automatic Modeling Techniques , 1999, Int. J. Robotics Res..

[3]  Richard M. Murray,et al.  A Mathematical Introduction to Robotic Manipulation , 1994 .

[4]  T. Yoshikawa,et al.  Task-Priority Based Redundancy Control of Robot Manipulators , 1987 .

[5]  F. Park.  Computational aspects of the product-of-exponentials formula for robot kinematics , 1994, IEEE Trans. Autom. Control..

[6]  Anthony A. Maciejewski.  Kinetic limitations on the use of redundancy in robotic manipulators , 1991, IEEE Trans. Robotics Autom..

[7]  Weihai Chen,et al.  Cartesian coordinate control for redundant modular robots , 2000, Smc 2000 conference proceedings. 2000 ieee international conference on systems, man and cybernetics. 'cybernetics evolving to systems, humans, organizations, and their complex interactions' (cat. no.0.

[8]  William A. Gruver,et al.  Kinematic control of redundant robots and the motion optimizability measure , 2001, IEEE Trans. Syst. Man Cybern. Part B.

[9]  Rajiv V. Dubey,et al.  Real-time implementation of an optimization scheme for seven-degree-of-freedom redundant manipulators , 1991, IEEE Trans. Robotics Autom..

[10]  Guilin Yang,et al.  Inverse kinematics for modular reconfigurable robots , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[11]  Wai Sum Tang.  Redundant manipulator infinity-norm joint torque optimization with actuator constraints using a recurrent neural network , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[12]  Weihai Chen,et al.  Real-time control of redundant robots subject to multiple criteria , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[13]  Weihai Chen,et al.  Interactive-motion control of modular reconfigurable manipulators , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).