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Globally exponential continuous controller/observer for position tracking in robot manipulators with hysteretic joint friction

Published online by Cambridge University Press:  28 August 2009

Srinivasulu Malagari and
Brian J. Driessen
Srinivasulu Malagari
Affiliation:
Wichita State University, 1845 Fairmount St. Wichita, KS 67260, USA
Brian J. Driessen*
Affiliation:
Wichita State University, 1845 Fairmount St. Wichita, KS 67260, USA
*
*Corresponding author. E-mail: brian.driessen@wichita.edu
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Summary

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In this work, we present a continuous observer and continuous controller for a multiple degree of freedom robot manipulator with hysteretic joint friction. The fictitious hysteresis state is of course unknown to the controller and must be estimated. The joint velocities are assumed measured here. For this considered plant, we propose and present a continuous observer/controller that estimates or observes the hysteresis state and drives the position tracking error to zero. We prove that the combined tracking error and observer error converges to zero globally exponentially.

Keywords

Hysteresis observerLuGre hysteretic frictionCoulomb frictionGlobally exponential trackingRobotActuatorsDrivesNonlinear controlsGlobal exponentialGlobally asymptotic tracking

Information

Type
Article
Information
Robotica , Volume 28 , Issue 5 , September 2010, pp. 759 - 763
Copyright
Copyright © Cambridge University Press 2009

References

1.Canudas de Wit, C., Olsson, H., Astrom, K. and Lischinsky, P., “A new model for control of systems with friction,” IEEE Trans. Autom. Control 40 (3), 419–425 (1995).CrossRefGoogle Scholar
2.Chen, C. and Lin, K., “Observer-based contouring design of a biaxial stage system subject to friction,” IEEE Trans. Control Syst. Technol. 16 (2), 322–329 (2008).CrossRefGoogle Scholar
3.Craig, J. J., Introduction to Robotics, 2nd ed. (Addison-Wesley, Reading, MA, 1989).Google Scholar
4.Dominquez, A., Sedaghati, R. and Stiharu, I., “A new dynamic hysteresis model for magnetorheological dampers,” Smart Mater. Struct. 15, 1179–1189 (2006).CrossRefGoogle Scholar
5.Driessen, B. J. and Duggirala, V. M., “Globally asymptotic and locally exponential tracking observer/controller for a relatively large class of systems with hysteresis,” J. Intell. Robot. Syst. 50 (2), 207–215 (2007).CrossRefGoogle Scholar
6.Driessen, B. J. and Kondreddi, S., “Tracking observer/controller for a relatively large class of systems with hysteresis and without velocity measurement,” Syst. Control Lett. 58 (1), 26–30 (2009).CrossRefGoogle Scholar
7.Heine, C. P., Simulated Response of Degrading Hysteretic Joints with Slack Behavior Ph.D. Thesis (Nashville, TN: Vanderbilt University, 2001).Google Scholar
8.Lin, C. and Yang, S., “Precise positioning of piezo-actuated stages using hysteresis-observer based control,” Mechatronics 16 (7), 417–426 (2006).CrossRefGoogle Scholar
9.Lin, F., Shieh, H., Huang, P. and Teng, L., “Adaptive control with hysteresis estimation and compensation using RFNN for piezo-actuator,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 53 (9), 1649–1661 (2006).Google ScholarPubMed
10.Panteley, E., Ortega, R., and Gafvert, M., “An adaptive friction compensator for global tracking in robot manipulators,” Syst. Control Lett. 33, 307–313 (1998).CrossRefGoogle Scholar
11.Peng, C. and Chen, C., “Biaxial contouring control with friction dynamics using a contour index approach,” Int. J. Mach. Tool Manuf. 47, 1542–1555 (2007).CrossRefGoogle Scholar
12.Slotine, J. and Li, W., Applied Nonlinear Control (Prentice Hall, New Jersey, NJ, 1991).Google Scholar
13.Teel, A. and Praly, L., “Global stabilizability and observability imply semi-global stabilizability by output feedback,” Syst. Control Lett. 22 (5), 313–325 (1994).CrossRefGoogle Scholar