Dynamic modeling and computational efficiency analysis for a spatial 6-DOF parallel motion system

A common approach for simplification analysis of complex dynamic model is presented, and the simplified dynamic model of a spatial 6-DOF parallel motion system with high computational efficiency is proposed for high real time control. By using Kane method, the full dynamic model of a spatial 6-DOF parallel motion system viewed as 13 rigid bodies is built. With rigid body decomposition, the full dynamic model is separated into several parts firstly, and then some separated parts are further divided into many dynamic components in terms of motion separation and the relationship with acceleration or velocity. The contribution of each dynamic term is analyzed for a specified spatial 6-DOF parallel motion system, and the simplified model is derived. Comparing with full dynamic model, the simplified error is analyzed, and the computational efficiency of the simplified model is discussed in a real-time industrial computer. The simplified strategy is confirmed in simulation. The simplified error is less than 8%, the simplified model can improve the computational efficiency by more than 70%, and the execution time is less than 0.1 ms, which can achieve the requirements of high real time control. The numerical results illustrate that the proposed approach is feasible and effective for simplification analysis of dynamics and the derived simplified dynamic model can be used in real-time control system with small simplified error.

[1]  Qitao Huang,et al.  PD control with gravity compensation for hydraulic 6-DOF parallel manipulator☆ , 2010 .

[2]  Javad Enferadi,et al.  Inverse dynamics analysis of a general spherical star-triangle parallel manipulator using principle of virtual work , 2010 .

[3]  Jun Wu,et al.  Simplified strategy of the dynamic model of a 6-UPS parallel kinematic machine for real-time control , 2007 .

[4]  M. Bergamasco,et al.  Dynamics of parallel manipulators by means of screw theory , 2003 .

[5]  Jean-Pierre Merlet,et al.  Parallel manipulators: state of the art and perspectives , 1992, Adv. Robotics.

[6]  Yixin Chen,et al.  Decoupled control of flexure-jointed hexapods using estimated joint-space mass-inertia matrix , 2004, IEEE Transactions on Control Systems Technology.

[7]  Hu Baosheng,et al.  Application of parallel algorithms to control , 2000, Proceedings of the 3rd World Congress on Intelligent Control and Automation (Cat. No.00EX393).

[8]  M. Pascal,et al.  The Kinematics and the Full Minimal Dynamic Model of a 6-DOF Parallel Robot Manipulator , 1999 .

[9]  Min-Jie Liu,et al.  Dynamics analysis of the Gough-Stewart platform manipulator , 2000, IEEE Trans. Robotics Autom..

[10]  Bhaskar Dasgupta,et al.  A Newton-Euler Formulation for the Inverse Dynamics of the Stewart Platform Manipulator , 1998 .

[11]  Zexiang Li,et al.  Dynamics and control of redundantly actuated parallel manipulators , 2003 .

[12]  Jun Wu,et al.  A new method for optimum design of parallel manipulator based on kinematics and dynamics , 2010 .

[13]  Katsu Yamane,et al.  Parallel Dynamics Computation and H∞ Acceleration Control of Parallel Manipulators for Acceleration Display , 2005 .

[14]  S. H. Koekebakker,et al.  Model based control of a flight simulator motion system , 2001 .

[15]  Septimiu E. Salcudean,et al.  Nonlinear control of hydraulic robots , 2001, IEEE Trans. Robotics Autom..

[16]  Junwei Han,et al.  Real-time state estimation for spatial six-degree-of-freedom linearly actuated parallel robots , 2009 .

[17]  Jing-feng He,et al.  Characteristics analysis of joint space inverse mass matrix for the optimal design of a 6-DOF parallel manipulator , 2010 .

[18]  Junwei Han,et al.  Modeling and simulation of spatial 6-DOF parallel robots using Simulink and SimMechanics , 2010, 2010 3rd International Conference on Computer Science and Information Technology.

[19]  D. C. H. Yang,et al.  Inverse dynamic analysis and simulation of a platform type of robot , 1988, J. Field Robotics.

[20]  Clément Gosselin,et al.  A New Approach for the Dynamic Analysis of Parallel Manipulators , 1998 .

[21]  Frank L. Lewis,et al.  Dynamic analysis and control of a stewart platform manipulator , 1993, J. Field Robotics.

[22]  Zhiming Ji.  Study of the effect of leg inertia in Stewart platforms , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[23]  Bhaskar Dasgupta,et al.  Closed-Form Dynamic Equations of the General Stewart Platform through the Newton–Euler Approach , 1998 .

[24]  Bodo Heimann,et al.  Computational efficient inverse dynamics of 6-DOF fully parallel manipulators by using the Lagrangian formalism , 2009 .

[25]  Yangmin Li,et al.  Design and analysis of a novel 6-DOF redundant actuated parallel robot with compliant hinges for high precision positioning , 2010 .