Abstract
This paper deals with the control problem of a manipulator with flexible links and joints. First, we use a non linear based approach to control the rigid global motions of the robot with rigid joints and flexible links. This non linear feedback is coupled with an external loop which damps the elastic motions considered as pertubations of the rigid nominal ones. Second, we decide to control the torques after the joint springs in order that they track the control torques provided by the first control layer. This is achieved via an additional non linear feedback superimposed with fast local torque controllers. In fact such a strategy consists of damping the first distributed mode of the robot and stiffening the joint flexibilities. Such a solution seems to be a good compromise between energy consumption and simplicity of the controller.
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References
Singh S.N., Schy A. A.: “ Control of elastic robotic systems by nonlinear inversion and modal damping”. Transct. of the ASME J. of Dynamic systems, Measurement and control Vol. 108, no 5, pp 180–189, september 1986.
Lin L.Y. and Yuan K.: “Motor based control of manipulators with flexible joints and links”. IEEE Proceedings on Robotics and Autom. 1990.
Cetinkunt S. and Wayne J. Book: “Symbolic modelling of flexible manipulators” IEEE int. conf. Robotics Autom., pp. 2074–2080, 1987.
Singh R.P.Vander Voort, R.J.Likins: “Dynamics of flexible bodies in tree topology - A computer oriented approach” Proceedings of the AIAA Dynamics specialist conference, Palm Springs, California May pp. 327–337. 1984.
Kane T.R, Levinson D.A. “ Formulation of equations of motion for complex spacecraft “, J.Guidance and control, vol. 3, No. 2, March-April 1980.
De Luca A. Siciliano B. Joint based control of a nonlinear model of a flexible arm. American control conf. Atlanta, 1988.
Hirschorn R. M.: Invertibility of multivariable nonlinear control systems, IEEE transactions on automatic control, vol. AC-24, pp 855–865, December 1979.
Desscusse J. Dion J.M.: On the structure at infmity of linear square decoupled system, IEEE transaction on Autom. control, vol. Ac-27, No. 4, pp. 971–974, August 1982.
Schmitz J.E.: “Experiments on the end-point position control of a very flexible one-link manipulator”, these de P.H.D. de l’universite de Stanford, Guidance and control laboratory, Department of Aeronautics and astronautics. 1985.
Spong M. W.: Modelling and control of elastic joint robots, transaction of the A.S.M.E.J. of dynamic systems, measurement and control, vol 109, pp 310–319 december 1987.
De Luca A. Dynamic control of robots with joint elasticity, 5th. IEEE Int. Conf. Robotics and Automation, Philadelphia, 1988.
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© 1994 Springer Science+Business Media Dordrecht
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Boyer, F., Coiffet, P. (1994). Control of Manipulators With Flexible Joints and Links by Non Linear Inversion, Modal Damping and Joints Stiffening. In: Lenarčič, J., Ravani, B. (eds) Advances in Robot Kinematics and Computational Geometry. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8348-0_24
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DOI: https://doi.org/10.1007/978-94-015-8348-0_24
Publisher Name: Springer, Dordrecht
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