Controlling chaotic systems with occasional proportional feedback

1999 ◽  
Vol 70 (3) ◽  
pp. 1719-1724 ◽  
Author(s):  
Larry R. Senesac ◽  
William E. Blass ◽  
Gordon Chin ◽  
John J. Hillman ◽  
James V. Lobell
Keyword(s):  
Chaotic Systems ◽  
Occasional Proportional Feedback ◽  
Proportional Feedback

Synchronization of chaotic diode resonators by occasional proportional feedback

1994 ◽  
Vol 72 (11) ◽  
pp. 1647-1650 ◽  
Author(s):  
T. C. Newell ◽  
P. M. Alsing ◽  
A. Gavrielides ◽  
V. Kovanis
Keyword(s):  
Occasional Proportional Feedback ◽  
Proportional Feedback

CONTROLLING CHAOS IN A TWO-WELL OSCILLATOR

1996 ◽  
Vol 06 (02) ◽  
pp. 337-347 ◽  
Author(s):  
F. C. MOON ◽  
M. A. JOHNSON ◽  
W. T. HOLMES
Keyword(s):  
Chaotic Dynamics ◽  
Elastic Beam ◽  
Detailed Knowledge ◽  
Two Dimensional ◽  
Potential Wells ◽  
Controlling Chaos ◽  
Forcing Function ◽  
Occasional Proportional Feedback ◽  
Proportional Feedback ◽  
Uncontrolled System

The chaotic dynamics of a nonlinear buckled elastic beam are shown to be controllable in a periodic orbit using a digital occasional proportional feedback control circuit. The method is similar to that developed by Hunt [1991] and does not require a detailed knowledge of the underlying two-dimensional map. The control is effected by perturbing the potential wells synchronously with the forcing function. Experiments show that the system possesses both periodic orbits and strange attractors different than those of the uncontrolled system.

Controlling chaos in electronic circuits

1995 ◽  
Vol 353 (1701) ◽  
pp. 127-136 ◽  
Keyword(s):  
Chaotic Oscillation ◽  
Linear Feedback ◽  
Unstable Periodic Orbits ◽  
Electronic Circuits ◽  
Linear Feedback Control ◽  
Potential Applications ◽  
Input Waveform ◽  
Occasional Proportional Feedback ◽  
Time Delayed Feedback ◽  
Proportional Feedback

Chaotic oscillations in electronic circuits are rather an unwanted phenomenon. We describe various control concepts the goal of which is to suppress chaos and to achieve a desired type of dynamic behaviour such as stable fixed point or a periodic orbit. The control concepts described here include: (i) system parameter variation; (ii) chaotic oscillation absorber; (iii) entrainment; (iv) linear feedback control; (v) time-delayed feedback, (vi) methods for stabilizing unstable periodic orbits: occasional proportional feedback and sampled input waveform methods. Advantages and drawbacks of these methods are described. Control towards chaotic states having several potential applications is also considered.

TRANSIENT CHARACTERISTICS BETWEEN PERIODIC ATTRACTORS STABILIZED BY CHAOS CONTROL IN A SEMICONDUCTOR LASER

2003 ◽  
Vol 13 (05) ◽  
pp. 1309-1317
Author(s):  
A. UCHIDA ◽  
T. SATO ◽  
S. YOSHIMORI ◽  
F. KANNARI
Keyword(s):  
Periodic Orbit ◽  
Response Time ◽  
Semiconductor Laser ◽  
Transient Response ◽  
High Frequency ◽  
Chaos Control ◽  
Control Parameters ◽  
Periodic Attractors ◽  
Occasional Proportional Feedback ◽  
Proportional Feedback

We investigate the transient response time between periodic attractors stabilized by chaos control methods in a semiconductor laser. We use the revised occasional proportional feedback (ROPF) method to shorten the transient response time and compare it with the high frequency injection (HFI) method. A chaotic attractor is stabilized resulting in two different periodic attractors (period-1 and period-6) under different control parameters, and the transient response time is measured as one of the stabilized periodic attractors is switched to the other. During the transition, the trajectory approaches a certain unstable periodic orbit (UPO), and the distance between the trajectory in the phase space and the UPO can be described as an exponential function of the transient response time. Since the trajectory can directly converge into the periodic orbit by using the ROPF method, the transient response time obtained by the ROPF method can be shortened more than that obtained by the HFI method.

Synchronization of Chaotic Systems with Uncertain Time-Varying Parameters

2015 ◽  
Vol 9 (6) ◽  
pp. 568
Author(s):  
Ahmad Al-Jarrah ◽  
Mohammad Ababneh ◽  
Suleiman Bani Hani ◽  
Khalid Al-Widyan
Keyword(s):  
Chaotic Systems ◽  
Time Varying ◽  
Varying Parameters ◽  
Time Varying Parameters ◽  
Uncertain Time
Sign in / Sign up

Export Citation Format

Share Document