Fringe tracking in optical interferometry: a robust control framework for higher sensitivity limits

2014 ◽  
Author(s):  
Jean-Pierre Folcher ◽  
Romain Petrov ◽  
Thami El Halkouj
2017 ◽  
Vol 2 (4) ◽  
pp. 198-206 ◽  
Author(s):  
Muharrem Ayar ◽  
Rodrigo D. Trevizan ◽  
Serhat Obuz ◽  
Arturo S. Bretas ◽  
Haniph A. Latchman ◽  
...  

2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Chunyan Fu ◽  
Yongxi Yi ◽  
Susu Cheng

With the robust control framework of Hansen and Sargent (2001), this paper investigates a stochastic differential game of transboundary pollution between two regions under Knightian uncertainty of stock dynamics. Both regions are assumed to play a noncooperative and a cooperative game, and the worst-case pollution accumulation processes for discrete robustness parameters are characterized. Our objective is to identify both regions’ optimal output and emission levels and analyze the effects of the Knightian uncertainty of pollution stock dynamics on both regions’ optimization behavior. We illustrate the results with some numerical examples.


Author(s):  
Alexander H. Pesch ◽  
Tamunomiesiya LongJohn ◽  
Kristopher Wagner ◽  
Brian J. McAndrews

As composite materials are becoming increasingly applied in actively controlled flexible structures, the need for practical uncertainty bounding to capture the effect of normal manufacturing variations on their dynamic behavior is also increasing. Currently, there is a lack of quantification of manufacturing variation of composite materials cast in a robust control framework. This work presents a simple experimental study on a particular case of composite member. The modal parameters of a set of 12 unidirectional carbon fiber reinforce polymer beams are identified. A nominal finite element model is numerically fit to the average experimental natural frequencies and antiresonances. The model is augmented with real parametric uncertainties placed on the modal parameters. The bound on the uncertainties is found both deterministically, to capture all experimentally observed data, and stochastically using a predetermined confidence interval. The two uncertainty bounding approaches are compared through the resulting bound on the beam model frequency response. Also, simulations are conducted to compare possible time responses using the two uncertainty bounds. It is found that the utilized structure of parametric uncertainties is effective at capturing the experimentally observed behavior.


2007 ◽  
Vol 104 (39) ◽  
pp. 15194-15199 ◽  
Author(s):  
J. M. Anderies ◽  
A. A. Rodriguez ◽  
M. A. Janssen ◽  
O. Cifdaloz

2014 ◽  
Author(s):  
Ferréol Soulez ◽  
Éric Thiebaut ◽  
Michel Tallon ◽  
Isabelle Tallon-Bosc ◽  
Paulo Garcia

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