Design of a tunable time-delay element using multiple gain lines for increased fractional delay with high data fidelity

2007 ◽  
Vol 32 (14) ◽  
pp. 1986 ◽  
Author(s):  
Zhimin Shi ◽  
Ravi Pant ◽  
Zhaoming Zhu ◽  
Michael D. Stenner ◽  
Mark A. Neifeld ◽  
...  
Keyword(s):  
Time Delay ◽  
Delay Element ◽  
High Data ◽  
Fractional Delay ◽  
Data Fidelity

Stability Switches of a Class of Fractional-Delay Systems With Delay-Dependent Coefficients

2018 ◽  
Vol 13 (11) ◽  
Author(s):  
Xinghu Teng ◽  
Zaihua Wang
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Jacobian Determinant ◽  
Stability Switches ◽  
Characteristic Roots ◽  
Fractional Delay ◽  
Analysis Of Stability ◽  
The Stability ◽  
Key Steps ◽  
Delay Dependent

Stability of a dynamical system may change from stable to unstable or vice versa, with the change of some parameter of the system. This is the phenomenon of stability switches, and it has been investigated intensively in the literature for conventional time-delay systems. This paper studies the stability switches of a class of fractional-delay systems whose coefficients depend on the time delay. Two simple formulas in closed-form have been established for determining the crossing direction of the characteristic roots at a given critical point, which is one of the two key steps in the analysis of stability switches. The formulas are expressed in terms of the Jacobian determinant of two auxiliary real-valued functions that are derived directly from the characteristic function, and thus, can be easily implemented. Two examples are given to illustrate the main results and to show an important difference between the fractional-delay systems with delay-dependent coefficients and the ones with delay-free coefficients from the viewpoint of stability switches.

Pre-Estimating Dynamically the Optimum of Extremum Value Control System with Large Time Delay Element Based on Correlation Identification

2012 ◽  
Vol 591-593 ◽  
pp. 1558-1562
Author(s):  
Guo Qiang Li ◽  
Yong Qin Liu ◽  
Wen Jiang Liu
Keyword(s):  
Control System ◽  
Time Delay ◽  
Transfer Function ◽  
Large Time ◽  
Linear Part ◽  
High Order ◽  
Delay Element ◽  
System A ◽  
Extremum Value ◽  
Derivation Process

As to the optimum of extremum value controlled plant, if the transfer function of its linear part is only with the high order dynamic elements, the optimum of extremum value control system could be dynamically pre-estimated by using the method based on correlation identification we presented, the pre-estimating method has the estimate speed quickly, anti-jamming ability strong, accurate, highly effective and so on the merits. However, if the controlled plant is simultaneously with high order dynamic elements and a large time delay element, the method could not be used directly to pre-estimate dynamically the optimum of the extremum value control system. A new improved pre-estimating method is presented so as to resolve the problem above. After we have in detail analyzed the derivation process of the pre-estimating method we presented, Fully taking into account the effects of large time-delay element, a number of conditions have been improved, the algorithm based on correlation identification has been extended, the optimum of extremum value control system with a large time delay element is well resolved by the extended algorithm.

Design of variable comb filter using FIR variable fractional delay element

2012 ◽  
Vol 92 (10) ◽  
pp. 2409-2421 ◽  
Author(s):  
Soo-Chang Pei ◽  
Yun-Da Huang ◽  
Shih-Hsin Lin ◽  
Jong-Jy Shyu
Keyword(s):  
Comb Filter ◽  
Delay Element ◽  
Fractional Delay

Fibre grating time delay element for phased array antennas

1995 ◽  
Vol 31 (17) ◽  
pp. 1485-1486 ◽  
Author(s):  
A. Molony ◽  
C. Edge ◽  
I. Bennion
Keyword(s):  
Time Delay ◽  
Phased Array ◽  
Delay Element ◽  
Phased Array Antennas ◽  
Array Antennas
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