Application of Time-Delayed Feedback Control Techniques in Digital Phase-Locked Loop

2016 ◽  
pp. 399-419
Author(s):  
Tanmoy Banerjee ◽  
B. C. Sarkar
Keyword(s):  
Feedback Control ◽  
Phase Locked Loop ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Control Techniques ◽  
Digital Phase ◽  
Time Delayed Feedback

CONVENTIONAL AND EXTENDED TIME-DELAYED FEEDBACK CONTROLLED ZERO-CROSSING DIGITAL PHASE LOCKED LOOP

2012 ◽  
Vol 22 (12) ◽  
pp. 1230044 ◽  
Author(s):  
TANMOY BANERJEE ◽  
B. C. SARKAR
Keyword(s):  
Feedback Control ◽  
Phase Locked Loop ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Positive Zero ◽  
Extended Time ◽  
Zero Crossing ◽  
Digital Phase ◽  
Time Delayed Feedback ◽  
Two Parameter

This article investigates the effect of the conventional and extended time-delayed feedback control techniques of chaos control on a first-order positive zero-crossing digital phase locked loop (ZC1-DPLL) using local stability analysis, two-parameter bifurcation studies and two-parameter Lyapunov exponent spectrum. Starting from the nonlinear dynamics of a ZC1-DPLL, we at first explore the time-delayed feedback control (TDFC) algorithm on a ZC1-DPLL in the parameter space. A condition for the optimum value of the system control parameter is derived analytically for a TDFC based ZC1-DPLL. Next, the extended time-delayed feedback control (ETDFC) technique on a ZC1-DPLL is described. It is observed that the application of the delayed feedback control (DFC) technique on the sampled values of the incoming signal inside the loop finally results in the nonlinear DFC of the phase error dynamics. We prove that, for some suitably chosen control parameters, an ETDFC based ZC1-DPLL has a broader stability zone in comparison with a ZC1-DPLL and its TDFC version.

Giant Improvement of Time-Delayed Feedback Control by Spatio-Temporal Filtering

2002 ◽  
Vol 89 (7) ◽  
Author(s):  
Nilüfer Baba ◽  
Andreas Amann ◽  
Eckehard Schöll ◽  
Wolfram Just
Keyword(s):  
Feedback Control ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Temporal Filtering ◽  
Spatio Temporal ◽  
Time Delayed Feedback

scholarly journals Time-delayed feedback control of diffusion in random walkers

2017 ◽  
Vol 96 (1) ◽  
Author(s):  
Hiroyasu Ando ◽  
Kohta Takehara ◽  
Miki U. Kobayashi
Keyword(s):  
Feedback Control ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Random Walkers ◽  
Time Delayed Feedback
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