Abstract
In industry plants, a trade off between the requirements of speed and cost efficiency often results in lightweight constructions. However, this introduces elastic deflections causing vibrations and a loss in tracking precision. Hence, investigations in suitable models and control laws are necessary. By using the Projection Equation with a Ritz expansion, a set of nonlinear ordinary differential equations which describes the motion of the system is developed. The utilized control law is a combination of a feedforward and a feedback scheme. The latter is based on backstepping methods, with respect to passivity ports. Finally experimental results are shown to verify the proposed control strategy.
Support of the present work in the framework of the peer-reviewed Austrian Center of Competence in Mechatronics (ACCM) is gratefully acknowledged.
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Bibliography
M. A. Arteaga and B. Siciliano. Flexible-link Manipulators: Modeling, Nonlinear Control and Observer, In: Advanced Studies of Flexible Robotic Manipulators Modeling, Design, Control and Application, Series in Intelligent Control and Intelligent Automation, Editors: Wang F., Gao Y., volume 4. World Scientific, 2003.
H. Bremer. Elastic Multibody Dynamics, A Direct Ritz Approach. Springer Verlag, 2008.
H. Bremer and F. Pfeiffer. Elastische Mehrkörpersysteme. Verlag B. G. Teubner, Stuttgart, 1992.
M. Fliess, J. Lévine, P. Martin, and P. Rouchon. Flatness and defect of nonlinear systems: introductory theory and examples. International Journal of Control, 61(6):pp. 1327–1361, 1995.
W. Hobarth, H. Gattringer, and H. Bremer. Modeling and control of an articulated robot with flexible links/joints. In Proceedings of the Ninth conference on Motion and Vibration Control, München, Germany, 2008.
H. K. Khalil. Nonlinear Systems. Prentice-Hall, Upper Saddle River, New Jersey, 3-rd edition, 2002.
U. Kleemann. Regelung elastischer Roboter. Fort Schrittsberichte, Reihe 8, Nr. 191, VDI Verlag, Düsseldorf, 1989.
H.-H. Lee and J. Prévost. A coupled sliding-surface approach for the trajectory control of a flexible-link robot based on a distributed dynamic model. International Journal of Control, 78(9):pp. 629–637, 2005.
M. Staudecker, K. Schlacher, and R. Hansl. Passivity based control and time optimal trajectory planning of a single mast stacker crane. In Proceedings of the 17th IFAC World Congress, The International Federation of Automatic Control, Seoul, Korea, 2008.
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Stauter, P., Gattringer, H., Höbart, W., Bremer, H. (2010). Passivity Based Backstepping Control of an Elastic Robot. In: Parenti Castelli, V., Schiehlen, W. (eds) ROMANSY 18 Robot Design, Dynamics and Control. CISM International Centre for Mechanical Sciences, vol 524. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0277-0_37
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DOI: https://doi.org/10.1007/978-3-7091-0277-0_37
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