Discrete-time adaptive control for mechanical manipulators having a joint compliance

This paper presents the application of a discrete-time adaptive control scheme to mechanical manipulators having a joint compliance. A control model of such manipulators is derived by linearizing the nonlinear equations about a desired trajectory. This control model is described by multivariable difference equations. The parameters of the model are estimated by parameter adaptation algorithms. Control gains, determined from the control model by using the pole placement technique, are computed on-line with the estimates of the system parameters. Simulation results with a two-link mechanical manipulator are presented to show the effectiveness of the proposed approach.

[1]  J. Yuh,et al.  Application of discrete-time model reference adaptive control to industrial robots: A computer simulation , 1988 .

[2]  Ioan Doré Landau,et al.  Unification of discrete time explicit model reference adaptive control designs , 1981, Autom..

[3]  Mark W. Spong,et al.  A Comparison of Feedback Linearization and Singular Perturbation Techniques for the Control of Flexible Joint Robots , 1989, 1989 American Control Conference.

[4]  Eugene I. Rivin,et al.  Mechanical Design of Robots , 1987 .

[5]  Alessandro De Luca.  Dynamic control of robots with joint elasticity , 1988, ICRA.

[6]  Antti J. Koivo,et al.  On a linearized model and adaptive controller implementation for manipulator motion , 1984, J. Field Robotics.

[7]  Masayoshi Tomizuka,et al.  Implementation of Adaptive Techniques for Motion Control of Robotic Manipulators , 1988 .

[8]  Fathi H. Ghorbel,et al.  Adaptive control of flexible-joint manipulators , 1989, IEEE Control Systems Magazine.

[9]  Bernd Gebler.  Feed-forward control strategy for an industrial robot with elastic links and joints , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[10]  M. Spong.  Modeling and Control of Elastic Joint Robots , 1987 .

[11]  R. A. Al-Ashoor,et al.  Adaptive control of flexible joint manipulators , 1990, 1990 IEEE International Conference on Systems, Man, and Cybernetics Conference Proceedings.

[12]  M. Vidyasagar.  System theory and robotics , 1987, IEEE Control Systems Magazine.

[13]  J. Yuh,et al.  Application of discrete-time model reference adaptive control to a flexible single-link robot , 1987, J. Field Robotics.

[14]  Homayoun Seraji,et al.  Direct adaptive control of manipulators in cartesian space , 1987, J. Field Robotics.