Generating optimal reference kinematic configurations for hyper-redundant parallel robots

In this article, we propose an optimization process able to generate optimal kinematic configuration for spatial hyper-redundant manipulators with multiple rigid parallel modules. The proposed method uses a deterministic optimization scheme that evaluates the score of trial kinematic configurations while accounting for various geometric constraints. This versatile method is based on a simultaneous search for both the best curve capturing the overall kinematic robot posture and the platform distribution along this curve. This process is carried out using the powerful sequential quadratic programming technique. Numerical results are presented to illustrate the efficiency of the proposed approach. Finally, this model was validated by real measurements obtained with the continuum bionic handling arm of a mobile robot called Robotino-XT.

[1]  Roger Fletcher,et al.  Practical methods of optimization; (2nd ed.) , 1987 .

[2]  John Kenneth Salisbury,et al.  Mechanics Modeling of Tendon-Driven Continuum Manipulators , 2008, IEEE Transactions on Robotics.

[3]  D. Stewart,et al.  A Platform with Six Degree of Freedom , 1965 .

[4]  Julien Mintenbeck,et al.  Design, modelling and control of a hyper-redundant 3-RPS parallel mechanism , 2010, 2010 IEEE International Conference on Robotics and Biomimetics.

[5]  Md. Nazrul Islam,et al.  Kinematics and dynamics of 2(3-RPS) manipulators by means of screw theory and the principle of virtual work , 2008 .

[6]  Rochdi Merzouki,et al.  Inverse Kinematic modeling of a class of continuum bionic handling arm , 2014, 2014 IEEE/ASME International Conference on Advanced Intelligent Mechatronics.

[7]  Farbod Fahimi,et al.  An improved inverse kinematic and velocity solution for spatial hyper-redundant robots , 2002, IEEE Trans. Robotics Autom..

[8]  Darwin G. Caldwell,et al.  Kinematic model and inverse control for continuum manipulators , 2013, 2013 10th IEEE International Conference on Control and Automation (ICCA).

[9]  Wisama Khalil,et al.  Modeling, Identification and Control of Robots , 2003 .

[10]  Pushparaj Mani Pathak,et al.  Kinematic Calibration of a Multisection Bionic Manipulator , 2015, IEEE/ASME Transactions on Mechatronics.

[11]  M. J. D. Powell,et al.  Algorithms for nonlinear constraints that use lagrangian functions , 1978, Math. Program..

[12]  J. B. Rosen,et al.  SQP Methods and their Application to Numerical Optimal Control , 1998 .

[13]  Gregory S. Chirikjian,et al.  Kinematically optimal hyper-redundant manipulator configurations , 1995, IEEE Trans. Robotics Autom..

[14]  J. Angeles,et al.  The inverse kinematics of hyper-redundant manipulators using splines , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[15]  Ian D. Walker,et al.  Kinematics for multisection continuum robots , 2006, IEEE Transactions on Robotics.

[16]  Pushparaj Mani Pathak,et al.  Geometric modelling of multisection bionic manipulator: Experimental validation on RobotinoXT , 2012, 2012 IEEE International Conference on Robotics and Biomimetics (ROBIO).

[17]  Rochdi Merzouki,et al.  Conceptual study of a class of hybrid hyper-redundant robot , 2012, 2012 IEEE International Conference on Robotics and Biomimetics (ROBIO).

[18]  W. Khalil,et al.  Inverse and direct dynamic models of hybrid robots , 2010 .

[19]  Ouarda Ibrahim Contribution à la modélisation dynamique des robots parallèles et des robots hybrides , 2006 .

[20]  Nobuyuki Iwatsuki,et al.  Motion Control of a Hyper Redundant Manipulator Built by Serially Connecting Many Parallel Mechanism Units with a Few DOF , 2010, Int. J. Autom. Technol..

[21]  Damien Chablat,et al.  Kinematic Analysis of the vertebra of an eel like robot , 2008, ArXiv.

[22]  D. Stewart A Platform with Six Degrees of Freedom , 1965 .

[23]  Rochdi Merzouki,et al.  Adaptive Neural Network Control of a Compact Bionic Handling Arm , 2015, IEEE/ASME Transactions on Mechatronics.

[24]  Tianjiang Zheng,et al.  Design, modeling and control of a pneumatically actuated manipulator inspired by biological continuum structures , 2013, Bioinspiration & biomimetics.

[25]  Rochdi Merzouki,et al.  Design of Hybrid Hyper-Redundant Robot Manipulator , 2012 .

[26]  Jaime Gallardo-Alvarado,et al.  A 2(3-RRPS) parallel manipulator inspired by Gough–Stewart platform , 2012, Robotica.

[27]  Ian D. Walker,et al.  Kinematics and the Implementation of an Elephant's Trunk Manipulator and Other Continuum Style Robots , 2003, J. Field Robotics.

[28]  J. Denavit,et al.  A kinematic notation for lower pair mechanisms based on matrices , 1955 .

[29]  Gregory S. Chirikjian,et al.  A hyper-redundant manipulator , 1994, IEEE Robotics Autom. Mag..