Nonlinear vibration analysis in precision motion stage with PID and time-delayed feedback controls

2020 ◽  
Vol 101 (1) ◽  
pp. 439-464
Author(s):  
Sunit Kumar Gupta ◽  
Jiamin Wang ◽  
Oumar R. Barry
Keyword(s):  
Nonlinear Vibration ◽  
Vibration Analysis ◽  
Delayed Feedback ◽  
Feedback Controls ◽  
Motion Stage ◽  
Precision Motion ◽  
Time Delayed Feedback

Criticality of Hopf Bifurcation in Precision Motion Stage With PID and Time-Delayed Feedback Controls

2020 ◽  
Author(s):  
Sunit K. Gupta ◽  
Jiamin Wang ◽  
Oumar R. Barry
Keyword(s):  
Hopf Bifurcation ◽  
Feedback Control ◽  
Delayed Feedback ◽  
State Feedback Control ◽  
Lumped Parameter Model ◽  
Delayed Feedback Control ◽  
Use Of Time ◽  
Motion Stage ◽  
Precision Motion ◽  
Time Delayed Feedback

Abstract The use of precision motion stages is very popular among advanced manufacturing and machining industries. However, the performance of these motion stages is usually undermined by friction-induced vibration. In this paper, we propose the use of time-delayed feedback control to minimize the undesirable effects of friction-induced vibrations. The use of time-delayed feedback control is well established in the literature; however, the use of time-delayed feedback control in PID controlled motion-stages has not been explored yet. Here, we consider a lumped parameter model of the PID controlled precision motion stage with a linear time-delayed state feedback control. The dynamical friction in the systemis modeled using the LuGre model. Stability and nonlinear analysis of the system are carried out using analytical methods. The stability analysis reveals the existence of multiple stability lobes and codimension-2 Hopf points for a given choice of system parameters. Also, the nature of Hopf bifurcation is determined by using the method of multiple scales. We observe the existence of both subcritical and supercritical Hopf bifurcations in the system, depending on the choice of control parameters. This observation implies that the nonlinearity in the system could both be stabilizing or destabilizing in nature.

Identification of a precision motion stage based on the Hammerstein-Wiener model

2019 ◽  
Author(s):  
Zhu Zhang ◽  
Delong Zhang ◽  
Haiyang Zheng ◽  
Tao Huang ◽  
Yangqiu Xie
Keyword(s):  
Wiener Model ◽  
Motion Stage ◽  
Precision Motion

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 Boosting energy-time entanglement using coherent time-delayed feedback

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Kisa Barkemeyer ◽  
Marcel Hohn ◽  
Stephan Reitzenstein ◽  
Alexander Carmele
Keyword(s):  
Delayed Feedback ◽  
Time Delayed Feedback

Effect of time-delayed feedback in a bistable system inferred by logic operation

2021 ◽  
Vol 148 ◽  
pp. 111043
Author(s):  
Rong Gui ◽  
Jiaxin Li ◽  
Yuangen Yao ◽  
Guanghui Cheng
Keyword(s):  
Delayed Feedback ◽  
Bistable System ◽  
Logic Operation ◽  
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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