Operational space dynamics: efficient algorithms for modeling and control of branching mechanisms

This paper discusses intuitive and efficient ways to model and control the dynamics of highly redundant branching mechanisms using the operational space formulation. As the complexity of mechanisms increases, their modeling and control become increasingly difficult. The operational space formulation provides a natural framework for these problems since its basic structure provides dynamic decoupling among multiple tasks and posture behaviors. Efficient recursive algorithms are presented for the computation of the operational space dynamics of branching mechanisms with multiple operational points. The application of these algorithms results in a significant increase in the interactivity and usability of dynamic control of complex branching mechanisms. The experimental results are presented using real-time dynamic simulation.

[1]  K. W. Lilly,et al.  Efficient Dynamic Simulation of Robotic Mechanisms , 1993 .

[2]  Brian Mirtich,et al.  Impulse-based dynamic simulation of rigid body systems , 1996 .

[3]  J. Y. S. Luh,et al.  On-Line Computational Scheme for Mechanical Manipulators , 1980 .

[4]  Roy Featherstone,et al.  Robot Dynamics Algorithms , 1987 .

[5]  Oussama Khatib,et al.  The impact of redundancy on the dynamic performance of robots , 1996 .

[6]  Phillip J. McKerrow,et al.  Introduction to robotics , 1991 .

[7]  Abhinandan Jain,et al.  Recursive Formulation of Operational Space Control , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[8]  Oussama Khatib,et al.  Extended operational space formulation for serial-to-parallel chain (branching) manipulators , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[9]  Oussama Khatib,et al.  Efficient algorithm for extended operational space inertia matrix , 1999, Proceedings 1999 IEEE/RSJ International Conference on Intelligent Robots and Systems. Human and Environment Friendly Robots with High Intelligence and Emotional Quotients (Cat. No.99CH36289).

[10]  David E. Orin,et al.  Efficient Dynamic Computer Simulation of Robotic Mechanisms , 1982 .

[11]  L Howarth,et al.  Principles of Dynamics , 1964 .

[12]  Abhinandan Jain,et al.  A spatial operator algebra for manipulator modeling and control , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[13]  Oussama Khatib,et al.  A unified approach for motion and force control of robot manipulators: The operational space formulation , 1987, IEEE J. Robotics Autom..

[14]  David E. Orin,et al.  Efficient O(N) recursive computation of the operational space inertia matrix , 1993, IEEE Trans. Syst. Man Cybern..