Abstract
A computational technique for obtaining the maximum load carrying capacity of robotic manipulators with joint elasticity, subject to accuracy and actuators constraints, is described herein. A feedback linearization technique is used to minimize end-effector deflection. An inversion algorithm is employed for the synthesis of a dynamic feedback control law that provides input-output decoupling and full state linearization. The linearizing input transformations and the corresponding state diffeomorphisms are presented. The proposed technique is then applied to a flexible joint robot. Linearizing control law is been expressed in terms of different sets of model variables and their derivatives. As a result, different tracking errors and torques are introduced in the robot-given trajectory and different load carrying capacities are obtained.
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Sweet LM, Good MC (1985) Redefinition of the robot motion control problem. IEEE Control Syst 5(3):18–24
Rivin E (1988) Mechanical design of robots. McGraw–Hill, New York
De Luca A, Tomei P (1996) Elastic joints. In: Canudas de Wit C, Siciliano B, Bastin G (eds) Theory of robot control. Springer, Berlin Heidelberg New York, pp 179–217
Cesareo G, Nicol‘o F, Nicosia S (1984) DYMIR: a code for generating dynamic model of robots. In: IEEE international conference on robotics and automation, Atlanta, GA
Tomei P (1991) A simple PD controller for robots with elastic joints. IEEE Trans Automat Control 36(10):1208–1213
Spong MW (1987) Modeling and control of elastic joint robots. ASME J Dyn Syst Meas Control 109:310–319
Thomas M, Yuan-Chou HC, Tesar D (1985) Optimal actuator sizing for robotic manipulators based on local dynamic criteria. ASME J Mech Trans Automat Des 107:163–169
Wang LT, Ravani B (1988) Dynamic load carrying capacity of mechanical manipulators – part I: problem formulation. ASME J Dyn Syst Meas Control 110:46–52
Korayem MH, Basu A (1994) Dynamic load carrying capacity of robotic manipulators with joint elasticity imposing accuracy constraints. Robot Autonomous Syst 13:219–229
Spong MW, Vidyasagar M (1989) Robot dynamics and control. Wiley, New York
De Luca A (1996) Decoupling and feedback linearization of robots with mixed rigid/elastic points. In: IEEE international conference on robotics and automation, Minneapolis, MN
Brockett RW (1978) Feedback invariants for nonlinear systems. In: Proceedings of sixth IFAC world congress pp. 1155–1120
Jakubczyk B, Respondek W (1980) On linearization of control systems. Bulletin de l’Academie Polonaise des Sciences, Serie des Sciences Matematyka 28:517–522
De Luca A (1998) A general algorithm for dynamic feedback linearization of robots with elastic joints. In: Proceedings of 37th conference on decision and control, Leuven, Belgium
Slotine JJ, Li W (1991) Applied nonlinear control. Prentice-Hall, New York
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Korayem, M., Davarpanah, F. & Ghariblu, H. Load carrying capacity of flexible joint manipulators with feedback linearization. Int J Adv Manuf Technol 29, 389–397 (2006). https://doi.org/10.1007/s00170-005-2525-0
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DOI: https://doi.org/10.1007/s00170-005-2525-0