Numerical and Experimental Control in a Parametric Pendulum using Delayed Feedback Method

2014 ◽  
Vol 2 ◽  
pp. 174-177
Author(s):  
Aline de Paula ◽  
Marcelo A. Savi ◽  
Vahid Vaziri ◽  
Marian Wiercigroch ◽  
Ekaterina Pavlovskaia
Keyword(s):  
Delayed Feedback ◽  
Experimental Control ◽  
Parametric Pendulum ◽  
Feedback Method

scholarly journals Experimental control of single-mode laser chaos by using continuous, time-delayed feedback

1998 ◽  
Vol 57 (6) ◽  
pp. 6596-6598 ◽  
Author(s):  
R. Dykstra ◽  
D. Y. Tang ◽  
N. R. Heckenberg
Keyword(s):  
Continuous Time ◽  
Single Mode ◽  
Delayed Feedback ◽  
Experimental Control ◽  
Mode Laser ◽  
Single Mode Laser ◽  
Time Delayed Feedback

scholarly journals Nonlinear dynamic processes control system for a DC converter of the first kind

2020 ◽  
Vol 23 (3) ◽  
pp. 73-80
Author(s):  
A. I. Andriyanov ◽  
Keyword(s):  
Control System ◽  
Nonlinear Dynamic ◽  
Delayed Feedback ◽  
Dynamic Processes ◽  
Switching Converters ◽  
Static Error ◽  
Weak Points ◽  
Feedback Method ◽  
Nonlinear Dynamic Processes ◽  
Time Delayed Feedback

In the paper a composite nonlinear dynamic processes control system for DC switching converters of the first kind is being considered. The proposed control system is based on two methods: time-delayed feedback method and target-oriented control. The advantage of the composite control system is the absence of the weak points specific to the two mentioned methods utilized on a standalone basis, such as possibility of occurrence of multistability domains, which is characteristic of time-delayed feedback method, and addition of static error when using the target-oriented control. The mathematical simulation of a closed-loop composite automatic control system for manipulating nonlinear dynamic processes has been implemented. The simulation results have proved the efficiency of the control system under consideration. The proposed solution can be realized with the use of a great variety of existing microcontrollers.

Experimental control for initiating and maintaining rotation of parametric pendulum

2014 ◽  
Vol 223 (4) ◽  
pp. 795-812 ◽  
Author(s):  
V. Vaziri ◽  
A. Najdecka ◽  
M. Wiercigroch
Keyword(s):  
Experimental Control ◽  
Parametric Pendulum

scholarly journals Tolerance of start-up control of rotation in parametric pendulum by delayed feedback

2011 ◽  
Vol 375 (17) ◽  
pp. 1779-1783 ◽  
Author(s):  
Yuichi Yokoi ◽  
Takashi Hikihara
Keyword(s):  
Delayed Feedback ◽  
Start Up ◽  
Parametric Pendulum

scholarly journals AN EXPERIMENTAL SUPPRESSION OF SPATIAL INSTABILITY IN ONE-WAY OPEN COUPLED CHUA'S CIRCUITS

2002 ◽  
Vol 12 (12) ◽  
pp. 2897-2905 ◽  
Author(s):  
TAKUYA IMAI ◽  
KEIJI KONISHI ◽  
HIDEKI KOKAME ◽  
KENTARO HIRATA
Keyword(s):  
Continuous Time ◽  
Control Method ◽  
Chaotic Behavior ◽  
Delayed Feedback ◽  
Spatial Instability ◽  
Feedback Method ◽  
Coupled Circuits

This letter shows an experimental suppression of spatial instability in one-way open coupled Chua's circuits. A continuous-time version of the decentralized delayed feedback method is used for a suppression scheme. Furthermore, we confirm that the control method also succeeds in suppressing chaotic behavior in the coupled circuits.

ESTIMATION OF AN ATTRACTION REGION IN ONE-DIMENSIONAL DELAYED-FEEDBACK CONTROL SYSTEMS

2005 ◽  
Vol 15 (02) ◽  
pp. 689-695
Author(s):  
KEIJI KONISHI
Keyword(s):  
Control Systems ◽  
Chaotic Systems ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
One Dimensional ◽  
Feedback Control Systems ◽  
Linear Matrix Inequality Approach ◽  
Feedback Method

This paper presents a simple numerical scheme for estimating the attraction region of a fixed point in one-dimensional discrete-time chaotic systems controlled by the delayed-feedback method. This scheme employs the well-known linear matrix inequality approach. A systematic procedure for estimating the region is provided, and numerical examples are used to validate the results.

Controlling a Shape Memory Alloy Two-Bar Truss Using Delayed Feedback Method

2014 ◽  
Vol 14 (08) ◽  
pp. 1440032 ◽  
Author(s):  
Aline S. de Paula ◽  
Marcel V. S. dos Santos ◽  
Marcelo A. Savi ◽  
Wallace M. Bessa
Keyword(s):  
Shape Memory Alloy ◽  
Shape Memory ◽  
Chaos Control ◽  
Variable Structure ◽  
Delayed Feedback ◽  
Unstable Periodic Orbits ◽  
Geometrical Nonlinearities ◽  
Feedback Method ◽  
Dynamics Response ◽  
Time Delayed Feedback

This work discusses the use of chaos control in smart structures. An archetypal model of a shape memory alloy (SMA) two-bar truss is treated. This system exhibits both constitutive and geometrical nonlinearities presenting a complex nonlinear dynamics response including either the snap-through or the chaotic behaviors. A constitutive model that presents a close agreement with experimental data is employed to describe the themomechanical SMA behavior. A variation of the continuous time-delayed feedback method is employed as a control strategy. This variable structure controller is applied to the stabilization of unstable periodic orbits of the SMA structure avoiding the snap-through behavior.

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