Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-25T04:58:54.648Z Has data issue: false hasContentIssue false

Robust tracking control for robot manipulators: theory, simulation, and implementation

Published online by Cambridge University Press:  09 March 2009

Summary

In this paper, we propose a robust controller for the tracking of robot motion. This controller is a nonlinear-based controller that compensates for the uncertainties present in the manipulator dynamic equation. The main result of this paper is that we explicitly show how the response of the tracking error can be modified by adjusting the control parameters. The corresponding stability result for the tracking error is Global Exponential Stability (GES). We then illustrate how similar control approaches are related to the proposed controller. Finally, simulation and experimental results are utilized to illustrate the performance of the robust controller.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1993

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Abdallah, C., Dawson, D.M., Dorato, P. and Jamishidi, M., “Survey of the Robust Control of RobotsIEEE Control Systems Magazine 11, No. 2, 2430 (02, 1991).Google Scholar
2.Slotine, J., “The Robust Control of Robot ManipulatorsInt. J. Robotics Research 4 No. 2, 49–64 (Summer, 1985).CrossRefGoogle Scholar
3.Gilbert, E. and Ha, I., “Robust Tracking in Nonlinear SystemsIEEE Transactions on Automatic Control AC–32, No. 9, 763771 (1987).Google Scholar
4.Spong, M. and Vidyasagar, M., “Robust Linear Compen-sator Design for Nonlinear Robotic ControlIEEE J. Robotics and Automation RA–3, No 4, 345351 (1987).CrossRefGoogle Scholar
5.Dawson, D., Qu, Z., Lewis, F. and Dorsey, J., “Robust Control for the Tracking of Robot MotionInt. J. Control 52, No. 3, 581595 (1990).CrossRefGoogle Scholar
6.Chen, Y. and Eyo, V., “Robust Computed Torque Control of Mechanical ManipulatorsProc. American Controls Conference (1988) pp. 13271332.Google Scholar
7.Corless, M., “Tracking Controllers for Uncertain Systems: Application to a Manutec R3 RobotJ. Dynamic Systems, Measurement, and Control 111, 609618 (12, 1989).CrossRefGoogle Scholar
8.Gutman, S., “Uncertain Dynamical Systems—A Lyapunov Min-Max ApproachIEEE Transactions on Automatic Control AC–24, pp. 437443 (03, 1979).CrossRefGoogle Scholar
9.Corless, M.J. and Leitmann, G., “Continuous State Feedback Guaranteeing Uniform Ultimate Boundness for Uncertain Dynamic SystemsIEEE Transactions on Automatic Controls AC-26, 1139–l143 (10. 1981).CrossRefGoogle Scholar
10.Slotine, J.J. and Li, W., Applied Nonlinear Control. (Englewoods Cliff, N.J., Prentice-Hall, 1990).Google Scholar
11.Craig, J.J., Adaptive Control of Mechanical Manipulators (Ann Arbor UMI Dissertation Information Service, 1986).Google Scholar
12.Vidyasagar, M., Nonlinear Systems Analysis (Englewoods Cliff, N.J., Prentice-Hall, 1978).Google Scholar
13.Spong, M. and Vidyasagar, M., Robot Dynamics and Control (John Wiley and Sons, Inc., New York, 1989).Google Scholar
14.Sadegh, N. and Horowitz, R., “Stability Robustness Analysis of a Class of Adaptive Controllers for Robotic ManipulatorsInt. J. Robotics Research 9, No. 3, 7492 (06, 1990).CrossRefGoogle Scholar
15.Ortega, R. and Spong, M., “Adaptive Motion Control of Rigid Robots: A Tutorial,Proc. IEEE Conf on Decision and Control, Austin, TX. (1988) pp. 15751584.CrossRefGoogle Scholar
16.Canudas De Wit, C.A., Adaptive Control for Partially Known Systems (Elsevier Science Publishers, New York, 1988).Google Scholar
17. Direct Drive Manipulator Research and Development Package Operations Manual (Integrated Motion Inc., Berkeley, CA, 1992).Google Scholar