Architecture optimization of 4PUS+1PS parallel manipulator

The main goal of this paper is the design of 4PUS+1PS parallel manipulator, using an optimization problem that takes into accounts the characteristics of the workspace and dexterity. The optimization problem is formulated considering constraints on actuated and passive joint limits. A comparison between quantum particle swarm Optimization (QPSO) and PSO is developed. Two numerical examples are presented, which reveal the advantages of QPSO to PSO. Moreover, it is shown that by introducing the dexterity index as a quality measure throughout the workspace, the parallel manipulator is improved at the cost of a minor reduction in its workspace.

[1]  Michael N. Vrahatis,et al.  On the computation of all global minimizers through particle swarm optimization , 2004, IEEE Transactions on Evolutionary Computation.

[2]  Dan Zhang,et al.  Optimum design of parallel kinematic toolheads with genetic algorithms , 2004, Robotica.

[3]  Rasim Alizade,et al.  Structural synthesis of parallel manipulators , 2004 .

[4]  Wenbo Xu,et al.  An improved quantum-behaved particle swarm optimization algorithm with weighted mean best position , 2008, Appl. Math. Comput..

[5]  Wenbo Xu,et al.  Particle swarm optimization with particles having quantum behavior , 2004, Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753).

[6]  Jun Sun,et al.  A global search strategy of quantum-behaved particle swarm optimization , 2004, IEEE Conference on Cybernetics and Intelligent Systems, 2004..

[7]  Patrick Chedmail,et al.  Robot mechanism synthesis and genetic algorithms , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[8]  Christiaan J. J. Paredis,et al.  Kinematic Design of Serial Link Manipulators From Task Specifications , 1993, Int. J. Robotics Res..

[9]  Jadran Lenarčič,et al.  Advances in Robot Kinematics: Analysis and Control , 1998 .

[10]  D. Stewart,et al.  A Platform with Six Degrees of Freedom , 1965 .

[11]  Hui Zhao,et al.  New kinematic structures for 2-, 3-, 4-, and 5-DOF parallel manipulator designs , 2002 .

[12]  C. Gosselin,et al.  The optimum kinematic design of a spherical three-degree-of-freedom parallel manipulator , 1988 .

[13]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[14]  J. M. Rico-Martinez,et al.  Kinematics and singularity analyses of a 4-DOF parallel manipulator using screw theory , 2006 .

[15]  Jean-Pierre Merlet,et al.  Designing a Parallel Manipulator for a Specific Workspace , 1997, Int. J. Robotics Res..

[16]  J. Kenneth Salisbury,et al.  Articulated Hands , 1982 .

[17]  Jorge Angeles,et al.  The Isotropic Design of Two General Classes of Planar Parallel Manipulators , 1995, J. Field Robotics.

[18]  Ron P. Podhorodeski,et al.  A family of stewart platforms with optimal dexterity , 1993, J. Field Robotics.

[19]  Jorge Angeles,et al.  Fundamentals of Robotic Mechanical Systems: Theory, Methods, and Algorithms , 1995 .

[20]  Vincent Hayward,et al.  Multiple-goal kinematic optimization of a parallel spherical mechanism with actuator redundancy , 1992, IEEE Trans. Robotics Autom..

[21]  Maurice Clerc,et al.  The particle swarm - explosion, stability, and convergence in a multidimensional complex space , 2002, IEEE Trans. Evol. Comput..

[22]  Clément Gosselin,et al.  A Global Performance Index for the Kinematic Optimization of Robotic Manipulators , 1991 .

[23]  Juan A. Carretero,et al.  Architecture optimisation of three 3- P RS variants for parallel kinematic machining , 2009 .

[24]  Med Amine Laribi,et al.  Analysis and dimensional synthesis of the DELTA robot for a prescribed workspace , 2007 .

[25]  Gene H. Golub,et al.  Matrix computations , 1983 .

[26]  Rajnikant V. Patel,et al.  The mechanical design of a seven-axes manipulator with kinematic isotropy , 1995, J. Intell. Robotic Syst..

[27]  Vincenzo Parenti-Castelli,et al.  A Translational 3-dof Parallel Manipulator , 1998 .

[28]  Tapan P. Bagchi,et al.  Multiobjective Robust Design by Genetic Algorithms , 2003 .

[29]  Tatsuo Arai,et al.  A modified Stewart platform manipulator with improved dexterity , 1993, IEEE Trans. Robotics Autom..

[30]  Clément Gosselin,et al.  The Synthesis of Planar Parallel Manipulators with a Genetic Algorithm , 1999 .

[31]  Alan F. Murray,et al.  IEEE International Conference on Neural Networks , 1997 .

[32]  Qingsong Xu,et al.  Kinematic Analysis and Optimization of a New Compliant Parallel Micromanipulator , 2006 .

[33]  Qingsong Xu,et al.  Kinematic analysis and design of a new 3-DOF translational parallel manipulator , 2006 .