Trajectory optimization of two-link rigid flexible manipulators in Dynamic Object Manipulation missions

This research focuses on proposing an optimal trajectory planning method of two link rigid-flexible manipulators (TLRFM) for Dynamic Object Manipulation (DOM) missions. For the first time, achievement of DOM task using a rotating one flexible link robot was taken into account in [15]. The authors do not aim to contribute on either trajectory tracking or vibration control of the End-Effector (EE) of the manipulator; On the contrary, utilizing the powerful tool optimal control accomplishing a point-to-point task for TLRFM is the purpose of the current research. Towards this goal, the pseudospectral method will be developed to meet the optimality conditions subject to system dynamics and boundary conditions. The complicated optimal trajectory planning is formulated as a nonlinear programming problem and solved by SNOPT nonlinear solver. The obtained simulation results reveal the usefulness and optimality of the developed scheme, in DOM missions.

[1]  Tamio Arai,et al.  Planning of graspless manipulation by a multifingered robot hand , 2005, Adv. Robotics.

[2]  Anil V. Rao,et al.  Algorithm 902: GPOPS, A MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method , 2010, TOMS.

[3]  X Zhang,et al.  Comparison of some modeling and control issues for a flexible two link manipulator. , 2004, ISA transactions.

[4]  Gerasimos Rigatos,et al.  Model-based and model-free control of flexible-link robots: A comparison between representative methods , 2009 .

[5]  M. Vakil,et al.  Maneuver control of the multilink flexible manipulators , 2009 .

[6]  Anil V. Rao,et al.  Direct Trajectory Optimization and Costate Estimation via an Orthogonal Collocation Method , 2006 .

[7]  William W. Hager,et al.  Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method , 2011, Comput. Optim. Appl..

[8]  Motoji Yamamoto,et al.  External sensorless dynamic object manipulation by a dual soft-fingered robotic hand with torsional fingertip motion , 2010, 2010 IEEE International Conference on Robotics and Automation.

[9]  Samuel F. Asokanthan,et al.  CONFIGURATION DEPENDENT EIGENFREQUENCIES FOR A TWO-LINK FLEXIBLE MANIPULATOR: EXPERIMENTAL VERIFICATION , 1999 .

[10]  Tamio Arai,et al.  Motion planning of robot fingertips for graspless manipulation , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[11]  M.N. Ahmadabadi,et al.  Manipulation by juggling of planar polygonal objects using two 3-DOF manipulators , 2007, 2007 IEEE/ASME international conference on advanced intelligent mechatronics.

[12]  Yasumichi Aiyama,et al.  Tossing manipulation by 1 degree-of-freedom manipulator , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).

[13]  S. Choura,et al.  CONTROL OF A TWO-LINK RIGID–FLEXIBLE MANIPULATOR WITH A MOVING PAYLOAD MASS , 2001 .

[14]  Aghil Yousefi-Koma,et al.  Dynamic Object Manipulation by a Flexible robotic arm: Theory and Experiment , 2012, Int. J. Robotics Autom..

[15]  Majid Nili Ahmadabadi,et al.  Dynamic object manipulation by an array of 1-DOF manipulators: Kinematic modeling and planning , 2007, Robotics Auton. Syst..

[16]  Michael A. Erdmann,et al.  An Exploration of Nonprehensile Two-Palm Manipulation , 1998, Int. J. Robotics Res..

[17]  Masahito Yashima,et al.  Control for throwing manipulation by one joint robot , 2009, 2009 IEEE International Conference on Robotics and Automation.

[18]  Kevin M. Lynch,et al.  Planar Manipulation on a Conveyor with a One Joint Robot , 1996 .

[19]  Kevin M. Lynch,et al.  Dynamic Nonprehensile Manipulation: Controllability, Planning, and Experiments , 1999, Int. J. Robotics Res..

[20]  Kevin M. Lynch,et al.  Sensorless parts orienting with a one-joint manipulator , 1997, Proceedings of International Conference on Robotics and Automation.

[21]  M.N. Ahmadabadi,et al.  Two Dimensional Dynamic Manipulation of a Disc Using Two Manipulators , 2006, 2006 International Conference on Mechatronics and Automation.

[22]  Kevin M. Lynch,et al.  Stable Pushing: Mechanics, Controllability, and Planning , 1995, Int. J. Robotics Res..

[23]  Y. Maeda,et al.  Planning of graspless manipulation based on rapidly-exploring random trees , 2005, (ISATP 2005). The 6th IEEE International Symposium on Assembly and Task Planning: From Nano to Macro Assembly and Manufacturing, 2005..

[24]  Suguru Arimoto,et al.  Dynamic object manipulation using a virtual frame by a triple soft-fingered robotic hand , 2010, 2010 IEEE International Conference on Robotics and Automation.

[25]  Michael A. Saunders,et al.  User's Guide for SNOPT Version 7.4: Software for Large-Scale Nonlinear Programming , 2015 .

[26]  William W. Hager,et al.  A unified framework for the numerical solution of optimal control problems using pseudospectral methods , 2010, Autom..