CONTROLLING CHAOS WITHOUT FEEDBACK AND CONTROL SIGNALS

1993 ◽  
Vol 03 (02) ◽  
pp. 459-468 ◽  
Author(s):  
T. KAPITANIAK ◽  
LJ. KOCAREV ◽  
L.O. CHUA
Keyword(s):  
Experimental Study ◽  
Chaotic System ◽  
Analytical Study ◽  
Simple System ◽  
Electrical System ◽  
Controlling Chaos ◽  
Chua's Circuit ◽  
Control Signals ◽  
And Control ◽  
Illustrative Application

We describe an effective method for controlling chaos by coupling a main chaotic system to a new but simple system with easily changeable parameters. The method is applied to Duffing’s oscillator (numerical and analytical study) and to Chua’s circuit (experimental study). The effectiveness of our method in controlling noisy systems, as well as an illustrative application in a mechanical and an electrical system, are discussed.

CONTROLLING CHAOS IN CHUA’S CIRCUIT VIA SAMPLED INPUTS

1994 ◽  
Vol 04 (02) ◽  
pp. 447-455 ◽  
Author(s):  
HERVÉ DEDIEU ◽  
MACIEJ OGORZAŁEK
Keyword(s):  
Periodic Orbit ◽  
Chaotic System ◽  
Continuous Time ◽  
Chaotic Behavior ◽  
Effective Control ◽  
Time Signal ◽  
Chua’S Circuit ◽  
State Equations ◽  
Controlling Chaos ◽  
Chua's Circuit

We consider a class of autonomous, continuous time, chaotic dynamical systems the state equations of which can be represented in so-called Lur’e form. In particular we consider Chua’s circuit which is a paradigmatic chaotic system belonging to this class. It is shown that the dynamic behavior of such a system can be influenced in such a way as to obtain out of chaotic behavior a desired periodic orbit corresponding to an unstable periodic trajectory which exists in the system. This kind of control can be achieved via injection of a single continuous time signal representing the output of the system associated with an unstable periodic orbit embedded in the chaotic attractor. Further, we investigate the case when this signal is sampled, i.e. we supply to the system the control signal at discrete time moments only. We show via extensive numerical simulations that effective control can be achieved with a low number of samples only. Control proves to be very robust. Despite the presence of scaling of system variables and noise of a significant level introduced by signal quantization and offset, we were still able to control the chosen orbit (although with growing noise level the orbit becomes more and more distorted but maintains the same periodicity). We present a variety of simulation results to support this claim. First laboratory confirmations are also included. We claim that this method, proved to be functional for controlling chaos in Chua’s circuit, is also applicable to any chaotic system of the Lur’e type with a single nonlinearity.

CHAOS DOES HELP MOTION CONTROL

2007 ◽  
Vol 17 (10) ◽  
pp. 3577-3581 ◽  
Author(s):  
ARTURO BUSCARINO ◽  
LUIGI FORTUNA ◽  
MATTIA FRASCA ◽  
GIOVANNI MUSCATO
Keyword(s):  
Motion Control ◽  
Chaotic System ◽  
Frequency Modulation ◽  
Piezoelectric Materials ◽  
Signal Frequency ◽  
State Variables ◽  
Square Wave ◽  
Control Signals ◽  
Actuation Signal ◽  
And Control

This work consists in the realization and control of a walking microrobot actuated by piezoelectric materials. Usually, the actuation of robot legs is controlled by square wave signals characterized by fixed amplitude and frequency. In this work the control signals are generated performing a frequency modulation driven by the chaotic evolution of Chua's circuit state variables. The smooth changes of the actuation signal frequency, performed by our chaotic system, enhance the microrobot walking capabilities especially when walking on given surfaces.

DESIGN, PREPRODUCTION, AND PERFORMANCE OF THE CDF RUN IIB SILICON DETECTOR

2005 ◽  
Vol 20 (16) ◽  
pp. 3811-3814
Author(s):  
◽  
PAUL LUJAN
Keyword(s):  
Building Block ◽  
Silicon Detector ◽  
Radiation Hardness ◽  
Control Signals ◽  
Lightweight Structure ◽  
And Performance ◽  
Performance Results ◽  
And Control ◽  
Radiation Hard ◽  
Detector Design

A new silicon detector was designed by the CDF collaboration for Run IIb of the Tevatron at Fermilab. The main building block of the new detector is a "supermodule" or "stave", an innovative, compact and lightweight structure of several readout hybrids and sensors with a bus cable running directly underneath the sensors to carry power, data, and control signals to and from the hybrids. The hybrids use a new, radiation-hard readout chip, the SVX4 chip. A number of SVX4 chips, readout hybrids, sensors, and supermodules were produced and tested in preproduction. The performance (including radiation-hardness) and yield of these components met or exceeded all design goals. The detector design goals, solutions, and performance results are presented.

Flotation Experimental Study of High-Sulfur Cu-Zn Ore in Yunnan

2014 ◽  
Vol 490-491 ◽  
pp. 160-163
Author(s):  
Zhi Guo Zhang ◽  
Quan Jun Liu ◽  
Jin Cheng Ran
Keyword(s):  
Experimental Study ◽  
Mineral Composition ◽  
Recovery Rate ◽  
Closed Circuit ◽  
Copper Concentrate ◽  
Concentrate Grade ◽  
And Control ◽  
Zinc Concentrate

The experimental ore belongs to high-sulfur Cu-Zn poly-metallic ore, the mineral composition of ore is complex, cupriferous pyrite most are disseminated. The Cu grade of raw ore is 0.76%, Zn grade is 1.48% and S about 25.02%. on the basis of best reagent system and control flotation time, the author did closed circuit process. the results of closed circuit process as follows: the copper concentrate grade is 20.35% and recovery rate is 86.081%; the zinc concentrate grade is 54.32% and recovery rate is 84.20%.

Theoretical and experimental study of Chen chaotic system with notch filter feedback control

2010 ◽  
Vol 19 (9) ◽  
pp. 090507
Author(s):  
Zhang Xiao Ming ◽  
Chen Ju-Fang ◽  
Peng Jian-Hua
Keyword(s):  
Experimental Study ◽  
Feedback Control ◽  
Chaotic System ◽  
Notch Filter

scholarly journals THE EFFECT OF DEFINITIONS TOWARD STUDENTS’ VOCABULARY

2018 ◽  
Vol 6 (1) ◽  
pp. 34
Author(s):  
Tawali Tawali
Keyword(s):  
Experimental Study ◽  
Alternative Hypothesis ◽  
T Test ◽  
Second Grade ◽  
Control Group ◽  
Second Grade Students ◽  
Post Test ◽  
The Subject ◽  
And Control ◽  
Experimental Group

This research is aimed to find out the effect of definitions toward students’ vocabulary mastery: it was an experimental study at the second grade student of MTs NW Haqqul Yaqin Sayang- sayang. The subject of this research was the second grade of MTs NW Haqqul Yaqin Sayang- sayang.The research was used experimental method with quantitative approach. The population of this research consist of 55 students, and the sample is 29 for experimental group while 26 for control group. The technique of collecting data was used definition for experimental group and matching word with antonym for control group. The data was collected by using post-test only and the data was analyzed by t-test formula. Based on data analysis the mean score of experimental group was 76,4 and control group was 69,23, beside of that standard deviation for experimental group was 114,28 and for control group was 113,09 and the value of t-test was 2,44 and t-table was 2,000. Degree of freedom is 53 with significant level 0,05. It means that the value of t-test was higher than t-table (t-test ˃ t-table). The alternative hypothesis (Ha) was accepted and null hypothesis (Ho) was rejected. Thus, the conclusion of this research was there was an effect of definition toward students’ vocabulary mastery: an experimental study at the second grade students of MTs NW Haqqul Yaqin Sayang-sayang.

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