scholarly journals A New Method for Calculating the Error Term Used in 2D Feedback Control of Laser Forming

2017 ◽  
Vol 89 ◽  
pp. 148-155 ◽  
Author(s):  
Anders Noel Thomsen ◽  
Benny Endelt ◽  
Morten Kristiansen
Keyword(s):  
Feedback Control ◽  
Error Term ◽  
New Method ◽  
Laser Forming

Bifurcation Control of Ro¨ssler System

2003 ◽  
Author(s):  
Z. Q. Wu ◽  
P. Yu
Keyword(s):  
Feedback Control ◽  
Nonlinear Dynamical Systems ◽  
Equilibrium Points ◽  
New Method ◽  
Control Law ◽  
Equilibrium Solutions ◽  
Nonlinear Dynamical ◽  
The Stability ◽  
Parameter Values ◽  
Feasible System

In this paper, a new method is proposed for controlling bifurcations of nonlinear dynamical systems. This approach employs the idea used in deriving the transition variety sets of bifurcations with constraints to find the stability region of equilibrium points in parameter space. With this method, one can design, via a feedback control, appropriate parameter values to delay either static, or dynamic or both bifurcations as one wishes. The approach is applied to consider controlling bifurcations of the Ro¨ssler system. The uncontrolled Ro¨ssler has two equilibrium solutions, one of which exhibits static bifurcation while the other has Hopf bifurcation. When a feedback control based on the new method is applied, one can delay the bifurcations and even change the type of bifurcations. An optimal control law is obtained to stabilize the Ro¨ssler system using all feasible system parameter values. Numerical simulations are used to verify the analytical results.

scholarly journals Sums of Kloosterman sums in the prime geodesic theorem

2018 ◽  
Vol 70 (2) ◽  
pp. 649-674 ◽  
Author(s):  
Olga Balkanova ◽  
Dmitry Frolenkov
Keyword(s):  
Error Term ◽  
Exponential Sum ◽  
Kloosterman Sums ◽  
New Method ◽  
Prime Geodesic Theorem

Abstract We develop a new method for studying sums of Kloosterman sums related to the spectral exponential sum. As a corollary, we obtain a new proof of the estimate of Soundararajan and Young for the error term in the prime geodesic theorem.

Adaptive Forced Balancing for Multivariable Systems

1995 ◽  
Vol 117 (4) ◽  
pp. 496-502 ◽  
Author(s):  
S. Beale ◽  
B. Shafai ◽  
P. LaRocca ◽  
E. Cusson
Keyword(s):  
Feedback Control ◽  
Magnetic Bearing ◽  
Active Magnetic Bearing ◽  
New Method ◽  
Multivariable Systems ◽  
Force Transmission ◽  
Frequency Tracking ◽  
Mass Unbalance ◽  
And Performance ◽  
Siso Systems

Active magnetic bearing (AMB) actuators support rotors without friction but require feedback control for stabilization and performance. Autobalancing compensation causes AMBs to spin a rotor about its inertial axis to eliminate synchronous force transmission from mass unbalance. Because mass unbalance constitutes a sinusoidal sensor disturbance within the bandwidth, conventional methods can either cause instability or fail to preserve desired bandwidth. We introduce a new method called adaptive forced balancing (AFB) which overcomes these problems. We consider AFB with a frequency tracking capability for SISO systems (i.e., single-end AMB suspensions) and show how to extend it for the MIMO case as applied to a double-end AMB suspension.

scholarly journals Some Differential Inequalities on Time Scales and Their Applications to Feedback Control Systems

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Yonghong Fan ◽  
Yangyang Yu ◽  
Linlin Wang
Keyword(s):  
Feedback Control ◽  
Control Systems ◽  
Time Scales ◽  
New Method ◽  
Differential Inequalities ◽  
Boundedness Of Solutions ◽  
Ultimate Boundedness ◽  
Uniform Ultimate Boundedness ◽  
Feedback Control Systems

This paper deals with feedback control systems on time scales. Firstly, we generalize the semicycle concept to time scales and then establish some differential inequalities on time scales. Secondly, as applications of these inequalities, we study the uniform ultimate boundedness of solutions of these systems. We give a new method to investigate the permanence of ecosystem on time scales. And some known results have been generalized. Finally, an example is given to support the result.

New method of parametric eigenvalue assignment in state feedback control

1994 ◽  
Vol 141 (4) ◽  
pp. 223-226 ◽  
Author(s):  
S.M. Karbassi ◽  
D.J. Bell
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
New Method ◽  
Eigenvalue Assignment

scholarly journals Feedback control of laser forming using flattening simulations for error determination

2019 ◽  
Vol 651 ◽  
pp. 012093
Author(s):  
Anders Noel Thomsen ◽  
Benny Endelt ◽  
Morten Kristiansen
Keyword(s):  
Feedback Control ◽  
Laser Forming ◽  
Error Determination

scholarly journals Videometric mass flow control: A new method for real-time measurement and feedback control of powder micro-feeding based on image analysis

2020 ◽  
Vol 580 ◽  
pp. 119223 ◽  
Author(s):  
Lajos Madarász ◽  
Ákos Köte ◽  
Martin Gyürkés ◽  
Attila Farkas ◽  
Bence Hambalkó ◽  
...  
Keyword(s):  
Image Analysis ◽  
Feedback Control ◽  
Flow Control ◽  
Real Time ◽  
Mass Flow ◽  
Time Measurement ◽  
New Method ◽  
Real Time Measurement
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