A solution to the inverse kinematic problem in robotics using neural network processing
- 1 January 1989
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 299-304 vol.2
- https://doi.org/10.1109/ijcnn.1989.118714
Abstract
A solution algorithm is presented using the T.T. Hopfield and D.W. Tank (Biol. Cybern., vol.52, p.1-12, 1985) analog neural computation scheme to implement the Jacobian control technique. The states of neurons represent joint velocities of a manipulator, and the connection weights are determined from the current value of the Jacobian matrix. The network energy function is constructed so that its minimum corresponds to the minimum least square error between actual and desired joint velocities. At each sampling time, connection weights and neuron states are updated according to current joint positions. During each sampling period, the energy function is minimized and joint velocity command signals are obtained as the states of the Hopfield network. The network dynamics are analyzed using a closed-loop control structure. Simulation shows that this method is capable of solving the inverse kinematic problem for a planar redundant manipulator in real time.<>Keywords
This publication has 11 references indexed in Scilit:
- Kinematic programming alternatives for redundant manipulatorsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- A solution algorithm to the inverse kinematic problem for redundant manipulatorsIEEE Journal on Robotics and Automation, 1988
- Simple 'neural' optimization networks: An A/D converter, signal decision circuit, and a linear programming circuitIEEE Transactions on Circuits and Systems, 1986
- Neural network processing as a tool for function optimizationAIP Conference Proceedings, 1986
- An Algorithm for Seam Tracking ApplicationsThe International Journal of Robotics Research, 1985
- A computational technique for inverse kinematicsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1984
- Neurons with graded response have collective computational properties like those of two-state neurons.Proceedings of the National Academy of Sciences, 1984
- Review of pseudoinverse control for use with kinematically redundant manipulatorsIEEE Transactions on Systems, Man, and Cybernetics, 1983
- Neural networks and physical systems with emergent collective computational abilities.Proceedings of the National Academy of Sciences, 1982
- The Mathematics of Coordinated Control of Prosthetic Arms and ManipulatorsJournal of Dynamic Systems, Measurement, and Control, 1972