A Transfer Entropy Based Approach for Fault Isolation in Industrial Robots

Author(s):  
Sathish Vallachira ◽  
Mikael Norrlof ◽  
Michal Orkisz ◽  
Sachit Butail

Abstract In this paper, we cast the problem of fault isolation in industrial robots as that of causal analysis within coupled dynamical processes and evaluate the efficacy of the information theoretic approach of transfer entropy. To create a realistic and exhaustive dataset, we simulate wear induced failure by increasing friction coefficient on select axes within an in-house robotic simulation tool that incorporates an elastic gearbox model. The source axis of failure is identified as one which has the highest net transfer entropy across all pairs of axes. In an exhaustive simulation study, we vary the friction successively in each axis across three common industrial tasks: pick and place, spot welding, and arc welding. Our results show that transfer entropy based approach is able to detect the axis of failure more than 80 percent of the time when the friction coefficient is 5% above the nominal value and always when friction coefficient is 10% above the nominal value. The transfer entropy approach is more than twice as accurate as cross-correlation, a classical time-series analysis used to identify directional dependence among processes.

2018 ◽  
Vol 848 ◽  
pp. 968-986 ◽  
Author(s):  
Peng Zhang ◽  
Maxwell Rosen ◽  
Sean D. Peterson ◽  
Maurizio Porfiri

The question of causality is pervasive to fluid–structure interactions, where it finds its most alluring instance in the study of fish swimming in coordination. How and why fish align their bodies, synchronize their motion, and position in crystallized formations are yet to be fully understood. Here, we posit a model-free approach to infer causality in fluid–structure interactions through the information-theoretic notion of transfer entropy. Given two dynamical units, transfer entropy quantifies the reduction of uncertainty in predicting the future state of one of them due to additional knowledge about the past of the other. We demonstrate our approach on a system of two tandem airfoils in a uniform flow, where the pitch angle of one airfoil is actively controlled while the other is allowed to passively rotate. Through transfer entropy, we seek to unveil causal relationships between the airfoils from information transfer conducted by the fluid medium.


Entropy ◽  
2019 ◽  
Vol 21 (11) ◽  
pp. 1116 ◽  
Author(s):  
Jang ◽  
Yi ◽  
Kim ◽  
Ahn

This paper studies the causal relationship between Bitcoin and other investment assets. We first test Granger causality and then calculate transfer entropy as an information-theoretic approach. Unlike the Granger causality test, we discover that transfer entropy clearly identifies causal interdependency between Bitcoin and other assets, including gold, stocks, and the U.S. dollar. However, for symbolic transfer entropy, the dynamic rise–fall pattern in return series shows an asymmetric information flow from other assets to Bitcoin. Our results imply that the Bitcoin market actively interacts with major asset markets, and its long-term equilibrium, as a nascent market, gradually synchronizes with that of other investment assets.


Author(s):  
R. V. Prasad ◽  
R. Muralishankar ◽  
S. Vijay ◽  
H. N. Shankar ◽  
Przemyslaw Pawelczak ◽  
...  

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