Abstract
Tracking inputs and trajectories of mechanical systems as control objects is analyzed with an emphasis on the objects having the number of external inputs different from the number of their degrees of freedom (DOFs). The problems of the synthesis of the realizable nominals and control laws were considered especially for the case where the number of DOFs of the control object is larger than the number of its external inputs. The difference between control laws for nominals tracking and regulation laws is demonstrated.
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Bejczy, A.K., Tarn, T.J., Chen, Y.: Robot arm dynamic by computer. In: Proceedings of IEEE Conference on Robotics and Automation, pp. 960–970 (1985)
Calvet, J., Arkun, Y.: Feedforward and feedback linearization of non-linear systems with disturbances. Int J Control 48(4), 1551–1559 (1988)
Douglas, A., Wilson, J.: Input-output pseudolinearization for nonlinear systems. IEEE Trans Automat Control 39(11), 2207–2218 (1994)
Erbbatur, K., Vinter, R., Kaynak, O.: Feedback linearization control for a 3-dof flexible joint elbow manipulator. In: Proceedings of IEEE Conference on Robotics and Automation, pp. 2979–2984 (1994)
Hunt, L.R., Renjeng, S., Meyer, G.: Global transformations of nonlinear systems. IEEE Trans Automat Control 28(1), 24–31 (1983)
Jankowski, K., ElMaragfy, H., ElMaragfy, W.: Dynamic coordination of multiple robot arms with flexible joints. Int J Robot Res 12(6), 505–528 (1993)
Korn, G., Korn, T.: Matematical Handbook for Scientists and Engineers. Nauka, Moscow (1984) (in Russian)
Meyer, G., SU, R., Hunt, L.: Application of nonlinear transformations to automatic flight control. Automatica 20(1), 103–107 (1984)
Ramadorai, A., Tarn, T., Bejczy, A.: Task definition, decoupling and redundancy resolution by nonlinear feedback in multi-robot object handling. In: Proceedings of IEEE Conference on Robotics and Automation, Nice, France, pp. 467–474 (1992)
Stojić, R., Kuljić, R., Živanović, M.: Airplane path tracking. Sci Tech Rev XL(8–9), 21–28 (1990)
Velichenko, V.: Matrichno-geometricheskie metod v mekhanike s prilozheniyami k zadacham robototekhniki. Nauka, Moscow (1988)
Vukobratović, M.: Applied Dynamics of Manipulation Robots. Springer, Berlin Heidelberg New York (1989)
Vukobratović, M., Stojić, R.: A decentralized approach to automatic flight control design. Bilten XCIII de L' Academie Serbe des Sciences et des Arts, Classe des Sciences Techniques 23, 45–66 (1987)
Vukobratović, M., Stojić, R.: Modern aircraft flight control. Springer, Berlin Heidelberg New York (1988)
Živanović, M.: Contribution to the research of multi-arm robots cooperative work. PhD thesis, Faculty of Tehnical Sciences, Novi Sad (1997) (in Serbian)
Živanović, M., Vukobratović, M.: General mathematical model of multi-arm cooperating robots with elastic interconnection at the contact. Trans ASME J Dyn Syst Measure Control 119(4), 707–117 (1997)
Živanović, M., Vukobratović, M.: Control of multi-arm cooperating robots with elastic interconnection at the contacts. Robotica 18(2), 183–193 (2000)
Živanović, M., Vukobratović, M.: Synthesis of nominal motion of the multi-arm cooperating robots with elastic interconnections at the contacts. Trans ASME J Dyn Syst Measure Control 126(2), 336–346 (2004)
Wang, D., Vidyasagar, M.: Control of a class of manipulators with a single flexible link - Part I: Feedback linearization. Trans ASME J Dyn Syst Measure Control 113, 655–660 (1991)
Wonham, W.: On pole assignement in multi-input controllable linear systems. IEEE Trans Automat Control 12(6), 660–665 (1967)
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Živanović, M., Vukobratović, M. A generalized approach to tracking the nominals of mechanical systems. Arch Appl Mech 75, 125–137 (2006). https://doi.org/10.1007/s00419-005-0424-3
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DOI: https://doi.org/10.1007/s00419-005-0424-3