On the Robustness of Sampled-Data Systems to Uncertainty in Continuous-Time Delays

2011 ◽  
Vol 56 (3) ◽  
pp. 686-692 ◽  
Author(s):  
Igal Alterman ◽  
Leonid Mirkin
2002 ◽  
Vol 35 (1) ◽  
pp. 311-316 ◽  
Author(s):  
P. Zhang ◽  
S.X. Ding ◽  
G.Z. Wang ◽  
D.H. Zhou

1996 ◽  
Vol 41 (10) ◽  
pp. 1478-1481 ◽  
Author(s):  
H. Katoh ◽  
Y. Funahashi

2002 ◽  
Vol 75 (18) ◽  
pp. 1457-1471 ◽  
Author(s):  
P. Zhang ◽  
S. X. Ding ◽  
G. Z. Wang ◽  
D. H. Zhou

Author(s):  
Mitsuaki Ishitobi ◽  
Sadaaki Kunimatsu

When a continuous-time linear system is discretized using a hold, stability of poles are preserved. However, the transformations of zeros are much more complicated and the number of the zeros increases in some cases in the discretization process. This paper is concerned with the zeros of a sampled-data model resulting from a continuous-time multivariable system which is not decouplable by static state feedback and has all of the relative degrees one. Two cases of a zero-order hold and a fractional-order hold are treated. An approximate expression of the zeros is given as power series expansions with respect to a sampling period in the zero-order hold case. Further, the limiting zeros are analyzed in the fractional-order hold case. Then, the advantage of the fractional-order hold to the zero-order hold is discussed from the viewpoint of stability of the zeros.


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