• Title/Summary/Keyword: Chaos control

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The Effects of Household Chaos on Preschoolers' Self-control: The Moderating Effects of Teachers' Limit-setting Style (가정환경 혼돈이 유아의 자기통제력에 미치는 영향: 교사 제한설정방식의 조절효과)

  • Kang, Dong Youn;Park, Ju Hee
    • Korean Journal of Childcare and Education
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    • v.16 no.1
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    • pp.75-98
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    • 2020
  • Objective: This study aimed to examine the influences of household chaos on self-control of young children and to investigate whether teachers' limit-setting styles had moderating effects. Methods: The participants were 184 children (83 boys and 101 girls), at age 3 -5, their mothers and teachers working at daycare centers located in Seoul and Gyeonggi-do. The data were analyzed by descriptive statistics, Pearson's correlation, and hierarchical regression. Moderating effects were examined using the Mplus8.0 program. Results: The results indicated that household chaos as well as teacher's permissive and logical limit-setting styles had significant effects on self-control of preschoolers. The lower the level of household chaos was, the higher the level of self-control of preschoolers was. The level of self-control was more likely to be high when teachers used logical limit-setting with detailed explanation to children whereas it was lower when they used more permissive limit-setting. In addition, teachers' logical limit-setting moderated the relation between household chaos and self-control of preschoolers. That is, the effects of household chaos on preschoolers' self-control were mitigated when the level of logical limit-setting was high compared to when it was low. Conclusion/Implications: The results suggested that both household chaos and teachers' limit-setting styles play important roles in increasing self-control of preschoolers.

Chaotic System Control Considering Edge of Chaos Using Neural Network

  • Obayashi, Masanao;Umesako, Kosuke;Nakayama, Daisuke
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.93.1-93
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    • 2002
  • In this paper, an efficient robust control method for chaotic system introducing the concept, the edge of chaos (:boundary status between chaos and non-chaos), is proposed. To realize this concept, we introduce an extended performance index which consists of two parts. One is for achievement of the system's objects, another is for keeping the system edge of chaos. Parameters of the neural network controller are adjusted to minimize the value of the extended performance index and achieve the above two objects using Random...

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Chaos in PID Controlled Nonlinear Systems

  • Ablay, Gunyaz
    • Journal of Electrical Engineering and Technology
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    • v.10 no.4
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    • pp.1843-1850
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    • 2015
  • Controlling nonlinear systems with linear feedback control methods can lead to chaotic behaviors. Order increase in system dynamics due to integral control and control parameter variations in PID controlled nonlinear systems are studied for possible chaos regions in the closed-loop system dynamics. The Lur’e form of the feedback systems are analyzed with Routh’s stability criterion and describing function analysis for chaos prediction. Several novel chaotic systems are generated from second-order nonlinear systems including the simplest continuous-time chaotic system. Analytical and numerical results are provided to verify the existence of the chaotic dynamics.

A Chaos Control Method by DFC Using State Prediction

  • Miyazaki, Michio;Lee, Sang-Gu;Lee, Seong-Hoon;Akizuki, Kageo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.1
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    • pp.1-6
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    • 2003
  • The Delayed Feedback Control method (DFC) proposed by Pyragas applies an input based on the difference between the current state of the system, which is generating chaos orbits, and the $\tau$-time delayed state, and stabilizes the chaos orbit into a target. In DFC, the information about a position in the state space is unnecessary if the period of the unstable periodic orbit to stabilize is known. There exists the fault that DFC cannot stabilize the unstable periodic orbit when a linearlized system around the periodic point has an odd number property. There is the chaos control method using the prediction of the $\tau$-time future state (PDFC) proposed by Ushio et al. as the method to compensate this fault. Then, we propose a method such as improving the fault of the DFC. Namely, we combine DFC and PDFC with parameter W, which indicates the balance of both methods, not to lose each advantage. Therefore, we stabilize the state into the $\tau$ periodic orbit, and ask for the ranges of Wand gain K using Jury' method, and determine the quasi-optimum pair of (W, K) using a genetic algorithm. Finally, we apply the proposed method to a discrete-time chaotic system, and show the efficiency through some examples of numerical experiments.

Control of Chaos using M-step ahead prediction (M단계 예측방법을 이용한 혼돈현상 제어)

  • 이철목;권영석;이균경
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.85-88
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    • 1996
  • We develop an efficient technique of controlling chaos using M-step ahead prediction with the OGY method. It has smaller transient time than the OGY method, and prevents burst phenomena that occur in noisy environment. This technique is very simple and needs small memory compared with targeting algorithms. Numerical examples show that the proposed algorithm has good performance, especially in noisy environment.

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Global Chaos Synchronization of WINDMI and Coullet Chaotic Systems using Adaptive Backstepping Control Design

  • Rasappan, Suresh;Vaidyanathan, Sundarapandian
    • Kyungpook Mathematical Journal
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    • v.54 no.2
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    • pp.293-320
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    • 2014
  • In this paper, global chaos synchronization is investigated for WINDMI (J. C. Sprott, 2003) and Coullet (P. Coullet et al, 1979) chaotic systems using adaptive backstepping control design based on recursive feedback control. Our theorems on synchronization for WINDMI and Coullet chaotic systems are established using Lyapunov stability theory. The adaptive backstepping control links the choice of Lyapunov function with the design of a controller and guarantees global stability performance of strict-feedback chaotic systems. The adaptive backstepping control maintains the parameter vector at a predetermined desired value. The adaptive backstepping control method is effective and convenient to synchronize and estimate the parameters of the chaotic systems. Mainly, this technique gives the flexibility to construct a control law and estimate the parameter values. Numerical simulations are also given to illustrate and validate the synchronization results derived in this paper.

Adaptive Fuzzy Bilinear Synchronization Control Design for Uncertain $L\ddot{u}$ Chaos System (불확실한 $L\ddot{u}$ 카오스 시스템을 위한 적응 퍼지 Bilinear 동기화 제어 설계)

  • Baek, Jae-Ho;Lee, Hee-Jin;Park, Mig-Non
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.47 no.3
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    • pp.59-66
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    • 2010
  • This paper is proposed an adaptive fuzzy bilinear synchronization design for uncertain $L\ddot{u}$ chaos system. It is assumed that the $L\ddot{u}$ chaos system has unknown parameters. First, The $L\ddot{u}$ chaos system can be reconstructed via TS fuzzy bilinear modeling. We design an adaptive fuzzy bilinear synchronization control scheme based on TS fuzzy bilinear $L\ddot{u}$ chaos system with uncertain parameters. Lyapunov theory is employed to guarantee the stability of error dynamic system between TS fuzzy bilinear $L\ddot{u}$ chaos system and the proposed slave system and to derive the adaptive laws for estimating unknown parameters. Simulation results is given to demonstrate the validity of our proposed synchronization scheme.

Obstacle Avoidance Technique for Chaotic Mobile Robot (카오스 이동 로봇에서의 장애물 회피 기법)

  • Bae Young-chul;Kim Chun-suk
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.8 no.8
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    • pp.1692-1699
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    • 2004
  • In this paper, we propose a method to avoid obstacles that have unstable limit cycles in a chaos trajectory surface. We assume all obstacles in the chaos trajectory surface have a Van der Pol equation with an unstable limit cycle. We also show computer simulation results of Arnold equation, Chua's equation, Hyper-chaos equation, Hamilton equation and Lorenz chaos trajectories with one or more Van der Pol obstacles.

Global Synchronization of Two Different Chaotic Systems via Nonlinear Control

  • Emadzadeh, Amir Abbas;Haeri, Mohammad
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.985-989
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    • 2005
  • This paper presents chaos synchronization between two different chaotic systems using nonlinear control method. The proposed technique is applied to achieve chaos synchronization for the Lorenz and Rossler dynamical systems. Numerical simulations are also implemented to verify the results.

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