Feedback Control—Based Inverse Kinematics Solvers for a Nuclear Decommissioning Robot

Abstract: The article develops two novel feedback control-based Inverse Kinematics (IK) solvers. They are evaluated for a dual-manipulator mobile robotic system with application to nuclear decommissioning. The first algorithm has similarities to other feedback control based solvers, and borrows ideas from the Cyclic Coordinate Decent and the Jacobian Transpose methods. This yields a particularly straightforward algorithm with tunable Proportional-Integral-Derivative (PID) gains to determine performance. The second approach utilises a discrete-time state space modelling framework to solve the IK problem. Although the second solver is more complex to implement, preliminary simulation results for the case study example, show that it can converge quicker, and has improved immunity to the kinematic singularities that can occur in Jacobian based methods.

[1]  W. W. Schrader,et al.  Efficient Computation of the Jacobian for Robot Manipulators , 1984 .

[2]  E. M. Shaban,et al.  Development of an automated verticality alignment system for a vibro-lance , 2008 .

[3]  Alexandre N. Pechev.  Inverse Kinematics without matrix inversion , 2008, 2008 IEEE International Conference on Robotics and Automation.

[4]  G. Franklin,et al.  Efficient Control with an Order (n) Recursive Inversion of the Jacobian for an n-Link Serial Manipulator , 1991 .

[5]  Patrick M. Thomas,et al.  Efficient Computation of , 1976 .

[6]  J. Corriou.  Chapter 12 – Nonlinear Control , 2017 .

[7]  Yoshihiko Nakamura,et al.  Inverse kinematic solutions with singularity robustness for robot manipulator control , 1986 .

[8]  Keith J. Burnham,et al.  Controllable forms for stabilising pole assignment design of generalised bilinear systems , 2011 .

[9]  G. Rodriguez,et al.  An order (N) recursive inversion of the Jacobian for an N-link serial manipulator , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[10]  C. James Taylor,et al.  Control of a dual-arm robotic manipulator , 2010 .

[11]  Nariman Sepehri,et al.  Generalized predictive control of a robotic manipulator with hydraulic actuators , 1992, Robotica.

[12]  Clément Gosselin,et al.  Singularity analysis of closed-loop kinematic chains , 1990, IEEE Trans. Robotics Autom..

[13]  W. Wolovich,et al.  A computational technique for inverse kinematics , 1984, The 23rd IEEE Conference on Decision and Control.

[14]  S. Buss.  Introduction to Inverse Kinematics with Jacobian Transpose , Pseudoinverse and Damped Least Squares methods , 2004 .

[15]  Bin Yao,et al.  Indirect Adaptive Robust Control of Hydraulic Manipulators With Accurate Parameter Estimates , 2011, IEEE Transactions on Control Systems Technology.

[16]  Takao Nishiumi,et al.  Hydraulic Control Systems: Theory And Practice , 2016 .

[17]  C. James Taylor,et al.  Inverse kinematics for a redundant robotic manipulator used for nuclear decommissioning , 2014, 2014 UKACC International Conference on Control (CONTROL).

[18]  L. Sciavicco,et al.  A dynamic solution to the inverse kinematic problem for redundant manipulators , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[19]  Javad Poshtan,et al.  The use of ‘particle swarm’ to optimize the control system in a PZT laminated plate , 2008 .

[20]  Kenny Erleben,et al.  Inverse Kinematics , 2018 .

[21]  Henrik Gordon Petersen,et al.  Inverse kinematics by numerical and analytical cyclic coordinate descent , 2011, Robotica.

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

[23]  Robert Bogue,et al.  Robots in the nuclear industry: a review of technologies and applications , 2011, Ind. Robot.

[24]  C. J. Taylor,et al.  State-dependent control of a hydraulically-actuated nuclear decommissioning robot , 2012, Proceedings of 2012 UKACC International Conference on Control.

[25]  Richard Bloss.  How do you decommission a nuclear installation? Call in the robots , 2010, Ind. Robot.

[26]  Derek W. Seward,et al.  Development of a Multi-Arm Mobile Robot for Nuclear Decommissioning Tasks , 2007 .