Trajectory Control of a Single Link Rigid-Flexible Manipulator

This paper presents control approaches for a flexible manipulator system. The nonminimum phase problem is treated and solved through two different approaches. A motion planning technique is used in a first approach. It searches for proper output trajectories with polynomial form, in such a manner that the effects of the unstable zeros are completely canceled. The second approach is a recent technique, called path-following.The main objective of pathfollowing with internal model control is to steer a physical object to converge to a geometric path. The secondary objective is to ensure that the object’s motion along the path satisfies a given dynamic specification.

[1]  M. Benosman,et al.  Accurate Trajectory Tracking of Flexible Arm End-Point , 2000 .

[2]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[3]  P. N. Paraskevopoulos,et al.  Modern Control Engineering , 2001 .

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

[5]  Miguel Ayala Botto,et al.  Modelling, Control and Validation of Flexible Robot Manipulators , 2005 .

[6]  John R. Hauser,et al.  Maneuver Regulation from Trajectory Tracking: Feedback Linearizable Systems * , 1995 .

[7]  João Pedro Hespanha,et al.  Performance limitations in reference tracking and path following for nonlinear systems , 2008, Autom..

[8]  N. G. Hockstein,et al.  A history of robots: from science fiction to surgical robotics , 2007, Journal of robotic surgery.

[9]  Joao P. Hespanha,et al.  Path-following or reference tracking? , 2004 .

[10]  Mouhacine Benosman,et al.  Stable inversion of SISO nonminimum phase linear systems through output planning: an experimental application to the one-link flexible manipulator , 2003, IEEE Trans. Control. Syst. Technol..

[11]  Jorge Martins,et al.  Modeling of Flexible Beams for Robotic Manipulators , 2002 .

[12]  Miguel Ayala Botto,et al.  Approaches for dynamic modelling of flexible manipulator systems , 2003 .

[13]  P. E. Wellstead,et al.  Self-tuning systems , 1991 .

[14]  P. Encarnacao,et al.  3D path following for autonomous underwater vehicle , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[15]  Ben M. Chen,et al.  Linear Systems Theory: A Structural Decomposition Approach , 2004 .

[16]  João Pedro Hespanha,et al.  Path-following for nonminimum phase systems removes performance limitations , 2005, IEEE Transactions on Automatic Control.

[17]  M. Benosman,et al.  End-effector Motion Planning for One-Link Flexible Robot , 2000 .

[18]  Mouhacine Benosman,et al.  Flexible Links Manipulators: from Modelling to Control , 2002, J. Intell. Robotic Syst..

[19]  M. Omizo,et al.  Modeling , 1983, Encyclopedic Dictionary of Archaeology.