Abstract
In this paper Open-loop optimal control method is proposed as an approach for trajectory optimization of flexible mobile manipulator for a given two-end-point task in point-to-point motion Dynamic equations are derived using combined Euler–Lagrange formulation and assumed modes method. To solve the optimal control problem an indirect method via establishing the Hamiltonian function and deriving the optimality condition from Pontryagin’s minimum principle is employed. The obtained equations provide a two point boundary value problem which is solved by numerical techniques. The main advantage of this method is obtaining various optimal trajectories with different characteristics by changing the penalty matrices values which able the designer to choose the best trajectory. Finally, a two-link flexible manipulator with mobile base is simulated to illustrate the performance of the method.
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Korayem, M.H., Ghariblu, H.: Maximum allowable load of mobile manipulator for two given end points of end-effector. Int. J. Adv. Manuf. Technol. 24(9-10), 743–751 (2004)
Korayem, M.H., Nikoobin, A., Azimirad, V.: Maximum Load Carring Capacity of Mobile Manipulators using Optimal Control Approach. Robotica Journal (in press)
Green, A., Sasiadek, J.Z.: Dynamics and trajectory tracking control of a two-link robot manipulator. Journal of Vibration and Control 10(10), 1415–1440 (2004)
Green, A., Sasiadek, J.Z.: Robot Manipulator control for rigid and assumed mode flexible dynamics models. In: AIAA Guidance, Navigation, and Control Conference and Exhibit (2003)
Sasiadek, J.Z., Srinivasan, R.: Dynamic modeling and adaptive control of a single link flexible manipulator. AIAA Journal of Guidance, Control and Dynamics 12(6), 838–844 (1989)
Korayem, M.H., Gariblu, H.: Analysis of wheeled mobile flexible manipulator dynamic motions with maximum load carrying capacities. Robotics and Autonomous Systems 48(2-3), 63–76 (2004)
Gariblu, H., Korayem, M.H.: Trajectory optimization of flexible mobile manipulators. Robotica 24(3), 333–335 (2006)
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© 2008 Springer-Verlag Berlin Heidelberg
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Korayem, M.H., Nohooji, H.R. (2008). Trajectory Optimization of Flexible Mobile Manipulators Using Open-Loop Optimal Control Method. In: Xiong, C., Huang, Y., Xiong, Y., Liu, H. (eds) Intelligent Robotics and Applications. ICIRA 2008. Lecture Notes in Computer Science(), vol 5314. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88513-9_7
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DOI: https://doi.org/10.1007/978-3-540-88513-9_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88512-2
Online ISBN: 978-3-540-88513-9
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