2014 ◽  
Vol 11 (03) ◽  
pp. 1450020 ◽  
Author(s):  
John Fasoulas ◽  
Michael Sfakiotakis

This paper presents a general dynamic model that describes the two-dimensional grasp by two robotic fingers with soft fingertips. We derive the system's kinematics and dynamics by incorporating rolling constraints that depend on the deformation and on the rolling distance characteristics of the fingertips' material. We analyze the grasp stability at equilibrium, and conclude that the rolling properties of the fingertips can play an important role in grasp stability, especially when the width of the grasped object is small compared to the radius of the tips. Subsequently, a controller, which is based on the fingertips' rolling properties, is proposed for stable grasping concurrent with object orientation control. We evaluate the dynamic model under the proposed control law by simulations and experiments that make use of two different types of soft fingertip materials, through which it is confirmed that the dynamic model can successfully capture the effect of the fingertips' deformation and their rolling distance characteristics. Finally, we use the dynamic model to demonstrate by simulations the significance of the fingertips' rolling properties in grasping thin objects.


2012 ◽  
Vol 40 (1) ◽  
pp. 117-130 ◽  
Author(s):  
Robert A. D. Cameron ◽  
Kostas A. Triantis ◽  
Christine E. Parent ◽  
François Guilhaumon ◽  
María R. Alonso ◽  
...  

2016 ◽  
Vol 92 (2) ◽  
pp. 830-853 ◽  
Author(s):  
Michael K. Borregaard ◽  
Isabel R. Amorim ◽  
Paulo A. V. Borges ◽  
Juliano S. Cabral ◽  
José M. Fernández-Palacios ◽  
...  

2016 ◽  
Vol 43 (5) ◽  
pp. 911-922 ◽  
Author(s):  
Rüdiger Otto ◽  
Robert J. Whittaker ◽  
Markus von Gaisberg ◽  
Christian Stierstorfer ◽  
Agustín Naranjo-Cigala ◽  
...  

2019 ◽  
Vol 116 (52) ◽  
pp. 26435-26443 ◽  
Author(s):  
Luc Attia ◽  
Miquel Oliu-Barton

In 1953, Lloyd Shapley defined the model of stochastic games, which were the first general dynamic model of a game to be defined, and proved that competitive stochastic games have a discounted value. In 1982, Jean-François Mertens and Abraham Neyman proved that competitive stochastic games admit a robust solution concept, the value, which is equal to the limit of the discounted values as the discount rate goes to 0. Both contributions were published in PNAS. In the present paper, we provide a tractable formula for the value of competitive stochastic games.


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