Controller reduction via frequency weightings considering $H_{\infty}$ property preservation

2009 ◽  
Vol 166 (2) ◽  
pp. 63-69 ◽  
Author(s):  
Tsutomu Nagado ◽  
Shota Usui
Author(s):  
R G Dong ◽  
D E Welcome ◽  
J Z Wu

This study generally hypothesized that the vibration-induced biodynamic stress and number of its cycles in a substructure of the hand-arm system play an important role in the development of vibration-induced disorders in the substructure. As the first step to test this hypothesis, the specific aims of this study were to develop a practical method to quantify the biodynamic stress-cycle measure, to compare it with ISO-weighted and unweighted accelerations, and to assess its potential for applications. A mechanical-equivalent model of the system was established using reported experimental data. The model was used to estimate the average stresses in the fingers and palm. The frequency weightings of the stresses in these substructures were derived using the proposed stress-cycle measure. This study found the frequency dependence of the average stress distributed in the fingers is different from that in the palm. Therefore, this study predicted that the frequency dependencies of finger disorders could also be different from those of the disorders in the palm, wrist, and arms. If vibration-induced white finger (VWF) is correlated better with unweighted acceleration than with ISO-weighted acceleration, the biodynamic stress distributed in the fingers is likely to play a more important role in the development of VWF than is the biodynamic stress distributed in the other substructures of the hand-arm system. The results of this study also suggest that the ISO weighting underestimates the high-frequency effect on the finger disorder development but it may provide a reasonable risk assessment of the disorders in the wrist and arm.


2005 ◽  
Vol 14 (04) ◽  
pp. 793-812 ◽  
Author(s):  
LI JIAO ◽  
HEJIAO HUANG ◽  
TO-YAT CHEUNG

Place merging is an important technique of Petri nets to composite different components/subsystems into a large system. However, it is a difficult and complex task to guarantee that the composite large system can preserve desired properties. This paper avoids the verification process by a property-preservation place-merging approach. The strategy used in this paper is to require such a composition to preserve these desirable properties (including liveness and boundedness) of the components in the resulting system. Meanwhile, this paper also investigates one kind of decompositions in terms of places, some conditions are presented under which if the large system possesses some properties, then the resulting components also preserve the desirable properties without the need of further verification. An application example is given to illustrate our method and some main results.


2007 ◽  
Vol 41 (9) ◽  
pp. 2028-2038 ◽  
Author(s):  
Isabel Beauchesne ◽  
Ridha Ben Cheikh ◽  
Guy Mercier ◽  
Jean-François Blais ◽  
Taha Ouarda

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