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Hybrid adaptive-robust control for a robot manipulator. (English) Zbl 0778.93079
Summary: We present a hybrid adaptive-robust controller to achieve trajectory following for a robot manipulator. The controller consists of two parts: a proportional-derivative (PD) feedback loop and an adaptive-robust law for the manipulator dynamics. An advantage of this method is that our controller takes advantage of the manipulator dynamic structure to allow the designer to select a controller that is a combination of an adaptive approach and a robust-adaptive approach.

93C85 Automated systems (robots, etc.) in control theory
93C40 Adaptive control/observation systems
Full Text: DOI
[1] Introduction to Robotics, Addison-Wesley, Boston, MA, 1986.
[2] and , ”Adaptive motion control of rigid robots: a tutorial”, Proc. IEEE Conf. on Decision and Control, Austin, TX, 1988, IEEE, New York, 1988, pp. 1575–1584.
[3] Abdallah, IEEE Control Syst. Mag. 11 pp 24– (1991)
[4] Corless, J. Optim. Theory Appl. 41 pp 155– (1983)
[5] Slotine, The International Journal of Robotics Research 6 (1987)
[6] and , Robot Dynamics and Control, Wiley, New York, 1989.
[7] Adaptive Control of Mechanical Manipulators, UMI Dissertation Information Service, Ann Arbor, MI, 1986.
[8] Canudas de Wit, The International Journal of Robotics Research 10 pp 189– (1991) · Zbl 0778.00019
[9] Dawson, Int. J. Control 52 pp 581– (1990)
[10] and , Applied Nonlinear Control, Prentice-Hall, Englewood Cliffs, NJ, 1991.
[11] Handbook of Applied Mathematics, Van Nostrand Reinhold, New York, 1974.
[12] ”Input-output analysis of large-scale interconnected systems”, in Lecture Notes in Control and Information Sciences, Vol. 29, Springer, New York, 1981, pp. 133–138.
[13] Nonlinear Systems Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1978.
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