A Body-Oriented Method for Dynamic Modeling and Adaptive Control of Fully Parallel Robots

Abstract In this paper we propose a method based on the virtual work principle to find a linear form of the dynamic equation of fully parallel robots. Compared to other methods, it has the advantage that it does not need to open the closed loop structure into a tree-structure robot. It considers rather each body separately using its Jacobian matrix to project the forces into the joint space of the robot. Thus, simplifications can be made at the very beginning of the modeling, that is very usefull for real-time nonlinear adaptive control implementation. As an example, the method is applied to the Hexaglide, a parallel machine tool with 6 degree-of-freedom. Based on this model, a simulation of a non-linear adaptive controller is performed, demonstrating the possibility to apply nonlinear adaptive control to complex parallel robots.

[1]  Wisama Khalil,et al.  Minimum operations and minimum parameters of the dynamic models of tree structure robots , 1987, IEEE Journal on Robotics and Automation.

[2]  Andrew A. Goldenberg,et al.  Identification of inertial parameters of a manipulator with closed kinematic chains , 1992, IEEE Trans. Syst. Man Cybern..

[3]  Etienne Burdet,et al.  A body-oriented method for finding a linear form of the dynamic equation of fully parallel robots , 1997, Proceedings of International Conference on Robotics and Automation.

[4]  Maxime Gautier,et al.  Numerical calculation of the base inertial parameters of robots , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[5]  Wisama Khalil,et al.  Direct calculation of minimum set of inertial parameters of serial robots , 1990, IEEE Trans. Robotics Autom..

[6]  M. Gautier,et al.  Calculation of the Minimum Inertial Parameters of Tree Structure Robots , 1989 .

[7]  Bruno Siciliano,et al.  Modeling and Control of Robot Manipulators , 1995 .

[8]  Michael W. Walker,et al.  Adaptive control of manipulators containing closed kinematic loops , 1990, IEEE Trans. Robotics Autom..

[9]  Francis L. Merat,et al.  Introduction to robotics: Mechanics and control , 1987, IEEE J. Robotics Autom..

[10]  Fouad Bennis,et al.  Symbolic Calculation of the Base Inertial Parameters of Closed-Loop Robots , 1995, Int. J. Robotics Res..

[11]  Pradeep Kumar Khosla,et al.  Real-time control and identification of direct-drive manipulators (robotics) , 1986 .

[12]  Soumya Bhattacharya,et al.  An on-line parameter estimation scheme for generalized stewart platform type parallel manipulators , 1997 .

[13]  S. Shankar Sastry,et al.  Adaptive Control of Mechanical Manipulators , 1987, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[14]  C. Atkeson,et al.  Estimation of inertial parameters of rigid body links of manipulators , 1985, 1985 24th IEEE Conference on Decision and Control.

[15]  Takeo Kanade,et al.  Parameter identification of robot dynamics , 1985, 1985 24th IEEE Conference on Decision and Control.

[16]  A. Codourey,et al.  Contribution à la commande des robots rapides et précis , 1991 .

[17]  D. Burnett,et al.  The numerical calculation of , 1937, Mathematical Proceedings of the Cambridge Philosophical Society.

[18]  Weiping Li,et al.  Adaptive manipulator control a case study , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[19]  Roberto Horowitz,et al.  Stability and Robustness Analysis of a Class of Adaptive Controllers for Robotic Manipulators , 1990, Int. J. Robotics Res..