Abstract
Industrial demand for high precision manipulators has lead to heavy, stiff, and therefore, expensive, inefficient, and potentially dangerous serial arm manipulators. The move towards lighter, and therefore, flexible manipulators has not matured, although there have been advancements in data processing capabilities, sensor technology, and control theory in the past couple of decades that could potentially reduce the problems with flexible serial manipulators. Most research in the past has focused on single link manipulators and planar robot arms and less research has been done on spatial multi-link robots. This work presents the derivation for a low-order model for spatial multi-link serial arms. Due to its low number of degrees of freedom this model can be used in real-time systems for control and estimation. The model is then verified by comparing its performance to results from commercial finite element software. Additional tests are performed against a flexible robot arm testbed.
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References
Arteaga, A.M.: Tracking control of flexible robot arms with a nonlinear observer. Automatica 36, 1329–1337 (1993)
Arteaga, A.M.: On the properties of a dynamic model of flexible robot manipulators. J. Dyn. Syst. Meas. Control. 120, 8–14 (1998)
Asada, H., Ma, Z.-D.: Inverse dynamics of flexible robots; modeling and recursive computation using virtual rigid link coordinate systems. American Control Conference (1989)
Book, W.J.: Modeling, design and control of flexible manipulator arms. PhD thesis, Massachusetts Institute of Technology (1974)
Botsali, M. F., Kalyoncu, M., Tinkir, M., Onen, U.: Fuzzy logic trajectory control of flexible robot manipulator with rotating prismatic joint. pp. 35–39 (2010)
Brüls, O., Duysinx, P., Golinval, J.-C.: The global modal parameterization for non-linear model-order reduction in flexible multibody dynamics. Int. J. Numer. Methods Eng. 69, 948–977 (2005)
Chaoui, H., Gueaieb, W., Yagoub, C. M., Sicard, P.: Hybrid neural fuzzy sliding mode control of flexible-joint manipulators with unknown dynamics. IEEE Ind. Electron. IECON 2006-32nd annual conference on, pp. 4082–4087 (2005)
Cheong, J., Chung, W., Youm, Y.: Bandwidth modulation of rigid subsystem for the class of flexible robots. Robotics and automation, 2000. Proceedings. ICRA’00. IEEE international conference on, vol. 2, pp. 1478–1483 (1997)
Dado, M.: A generalized approach for forward and inverse dynamics of elastic manipulators (1986)
De Luca, A., Siciliano, B.: Explicit dynamic modeling of a planar two-link flexible manipulator (1990)
De Luca, A., Panzieri, S., Ulivi, G.:Stable inversion control for flexible link manipulators. Robot. Autom. 1998. Proceedings. 1998 IEEE international conference on, vol. 1, pp. 799–805 (1996)
Denavit, J.: A kinematic notation for lower-pair mechanisms based on matrices. Trans. ASME J. Appl. Mech. 22, 215–221 (1954)
Dubowsky, S., Gu, Y.P., Deck, F.J.: The dynamic analysis of flexibility in mobile robotic manipulator systems. Proc. VIII world congress on the theory of machines and mechanisms, pp. 26–31 (1991)
Husain, R.A., Khairudin, M., Mohamed, Z.: Dynamic model and robust control of flexible link robot manipulator. TELKOMNIKA (Telecommun. Comput. Electron. Control) 9, 279 (2013)
Karandikar, D., Bandyopadhyay, B.: Sliding mode control of single link flexible manipulator. In: Industrial technology 2000. Proceedings of IEEE international conference on, IEEE, vol. 1, pp. 712–717 (2000)
Kivila, A.: Modeling, estimation and control for serial flexible robot arms. PhD thesis, Georgia Institute of Technology (2017)
Kivila, A., Book, W., Singhose, W.: Exact modeling of n-link spatial serial structures using transfer matrices. J. Dyn. Syst. Meas. Control 139(11), 114502 (2017a)
Kivila, A., Burgin, J., Book, W., Singhose, W.: Development and verification of a 2-link flexible serial arm testbed for 3d spatial movements. The 2017 Asian Control Conference (ASCC), pp. 766–771 (2017b)
Pastor, M., Binda, M., Harčarik, T.: Modal assurance criterion. Proc. Eng. 48, 543–548 (2012)
Sasaki, M., Asai, A., Shimizu, T., Ito, S.: Self-tuning control of a two-link flexible manipulator using neural networks. ICCAS-SICE, pp. 2468–2473 (2009)
Sciavicco, L., Siciliano, B.: Modelling and control of robot manipulators. Springer, Berlin (1998)
Shawky, A., Ordys, A., Grimble, J.M.: End-point control of a flexible-link manipulator using hinfinity nonlinear control via a state-dependent riccati equation. pp. 501–506 (2001)
Spong, W.M., Hutchinson, S., Vidyasagar, M.: Robot modeling and control. Wiley, New York (2004)
Subudhi, B., Morris, S.A.: Dynamic modelling, simulation and control of a manipulator with flexible links and joints. Robot. Auton. Syst. 41, 257–270 (2001)
Theodore, J.R., Ghosal, A.: Comparison of the assumed modes and finite element models for flexible multilink manipulators. Int. J. Robot. Res. 14, 91–111 (1995)
Theodore, J.R., Ghosal, A.: Robust control of multilink flexible manipulators. Mech. Mach. Theory 38, 367–377 (2001)
Wang, Z., Zeng, H., Ho, W.D., Unbehauen, H.: Multiobjective control of a four-link flexible manipulator: a robust h? approach. Control Syst. Technol. IEEE Trans. 10, 866–875 (2001)
Yang, Z., Sadler, P.J.: Large-displacement finite element analysis of flexible linkages. J. Mech. Des. 112, 175 (1988)
Yin, H., Kobayashi, Y., Hoshino, Y., Emaru, T.: Hybrid sliding mode control with optimization for flexible manipulator under fast motion. In: Robotics and automation (ICRA), 2011 IEEE international conference on, IEEE, pp. 458–463 (2011)
Yuan, B.-S., Book, J.W., Huggins, D.J.: Dynamics of flexible manipulator arms: alternative derivation, verification, and characteristics for control. J. Dyn. Syst. Meas. Control 115, 394–404 (1992)
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Kivila, A., Book, W. & Singhose, W. Modeling spatial multi-link flexible manipulator arms based on system modes. Int J Intell Robot Appl 5, 300–312 (2021). https://doi.org/10.1007/s41315-021-00201-3
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DOI: https://doi.org/10.1007/s41315-021-00201-3