• 제목/요약/키워드: Chaotic systems

검색결과 311건 처리시간 0.029초

Design of an Adaptive Fuzzy Controller and Its Application to Controlling Uncertain Chaotic Systems

  • Rark, Chang-woo;Lee, Chang-Hoon;Kim, Jung-Hwan;Kim, Seungho;Park, Mignon
    • Transactions on Control, Automation and Systems Engineering
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    • 제3권2호
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    • pp.95-105
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    • 2001
  • In this paper, in order to control uncertain chaotic system, an adaptive fuzzy control(AFC) scheme is developed for the multi-input/multi-output plants represented by the Takagi-Sugeno(T-S) fuzzy models. The proposed AFC scheme provides robust tracking of a desired signal for the T-S fuzzy systems with uncertain parameters. The developed control law and adaptive law guarantee the boundedness of all signals in the closed-loop system. In addition, the chaotic state tracks the state of the stable reference model(SRM) asymptotically with time for any bounded reference input signal. The suggested AFC design technique is applied for the control of an uncertain Lorenz system based on T-S fuzzy model such as stabilization, synchronization and chaotic model following control(CMFC).

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아산치 혼돈 시스템의 제어를 위한 일반형 예측 제어기의 설계 (Design of generalized predictive controller for discrete-time chaotic systems)

  • 박광성;주진만;박진배;최윤호;윤태성
    • 전자공학회논문지S
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    • 제34S권11호
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    • pp.53-62
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    • 1997
  • In this study, a controller design method is proposed for controlling the discrete-time chaotic systems efficiently. The proposed control method is based on Generalized Predictive Control and uses NARMAX models as controlled models. In order to evaluate the performance of the proposed method, a proposed controller is applied to discrete-time chaotic systems, and then the control performance and initial sensitivity of the proposed controller are compared with those of the conventional model-based controler through computer simulations. Through simulations results, it is shown that the control performance of the proposed controller is superior to that of the conventional model-based controller and shown that the peorposed controller is less sensitive to initial values of discrete-time chaotic systems in comparison with the conventional model-based controller.

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Synchronization of Dynamical Happiness Model

  • Bae, Youngchul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제14권2호
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    • pp.91-97
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    • 2014
  • Chaotic dynamics is an active research area in fields such as biology, physics, sociology, psychology, physiology, and engineering. Interest in chaos is also expanding to the social sciences, such as politics, economics, and societal events prediction. Most people pursue happiness, both spiritual and physical in many cases. However, happiness is not easy to define, because people differ in how they perceive it. Happiness can exist in mind and body. Therefore, we need to be happy in both simultaneously to achieve optimal happiness. To do this, we need to synchronize mind and body. In this paper, we propose a chaotic synchronization method in a mathematical model of happiness organized by a second-order ordinary differential equation with external force. This proposed mathematical happiness equation is similar to Duffing's equation, because it is derived from that equation. We introduce synchronization method from our mathematical happiness model by using the derived Duffing equation. To achieve chaotic synchronization between the human mind and body, we apply an idea of mind/body unity originating in Oriental philosophy. Of many chaotic synchronization methods, we use only coupled synchronization, because this method is closest to representing mind/body unity. Typically, coupled synchronization can be applied only to non-autonomous systems, such as a modified Duffing system. We represent the result of synchronization using a differential time series mind/body model.

조화진동유동을 포함한 곡선 파이프 계의 혼돈 운동 연구 (Chaotic Vibration of a Curved Pipe Conveying Oscillatory Flow)

  • 박철희;홍성철;김태정
    • 소음진동
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    • 제7권3호
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    • pp.489-498
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    • 1997
  • In this paper, chaotic motions of a curved pipe conveying oscillatory flow are theoretically investigated. The nonliear partial differential equation of motion is derived by Newton's method. The transformed nonlinear ordinary differential equation is a type of Hill's equation, which has the external and parametric excitation with a same frequency. Bifurcation curves of chaotic motion of the piping systems are obtained by applying Melnikov's method. Numerical simulations are performed to demonstrate theoretical results and show the strange attractor of the chaotic motion.

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회귀예측 신경모델과 카오스 신경회로망을 결합한 고립 숫자음 인식 (Isolated Digit Recognition Combined with Recurrent Neural Prediction Models and Chaotic Neural Networks)

  • 김석현;여지환
    • 한국지능시스템학회논문지
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    • 제8권6호
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    • pp.129-135
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    • 1998
  • 본 논문은 서러 다른 접근방식을 사용하는 카오스 회귀 신경예측모델과 다층 신경회로망이 결합하여 고립음의 인식률을 높이고자 하였다. 전반적으로 다층신경회로망은 MLP와 결합한 인식률은 1.2%에서 2.5% 이상이 개선 되었다. 이는 서로 인식하는 방법이 다르기 때문에 서로 상호 보완되고, 카오스의 다이내믹 성질이 인식률을 개선시켰음을 실험으로 밝혔다. MLP와 결합한 인식률은 카오스 다층신경망일 때가 가장 좋았다. 그러나 학습시 알고리즘이 단순하고, 신뢰도 면에서는 오히려 카오스 단층 신경망이 인식률은 0.5%정도 떨어지지만 더욱 좋다고 생각된다. 주로 MLP는 숫자음 “일”과 “오”에서 우수한 성적을 나타내었고, 카오스 예측 신경망은 숫자음 “영”, “삼”, “칠”에서 우수하였다.

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Implementation of Chaotic UWB Systems for Low Rate WPAN

  • Lee, Cheol-Hyo;Kim, Jae-Young;Kim, Young-Kkwan;Choi, Sun-Kyu;Jang, Ui-Gi
    • 한국정보기술응용학회:학술대회논문집
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    • 한국정보기술응용학회 2005년도 6th 2005 International Conference on Computers, Communications and System
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    • pp.339-342
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    • 2005
  • In order to support ultrawide-band signal generation for low rate WPAN, several types of signal generation mechanisms are suggested such as Chaos, Impluse, and Chirp signals by the activity of IEEE 802.15.4a. The communication system applied chaos theory may have ultrawide-band characteristics with spread spectrum and immunity from multipath effect. In order to use the advantage of chaotic signal generation, we introduce the system implementation of communication and networking systems with the chaos UWB signal. This system may be composed of mainly three parts in hardware architecture : RF transmission with chaotic signal generation, signal receiver using amplifiers and filters, and 8051 & FPGA unit. The most difficult part is to implement the chaotic signal generator and build transceiver with it. The implementation of the system is devidced into two parts i.e. RF blocks and digital blocks with amplifiers, filters, ADC, 8051 processor, and FPGA. In this paper, we introduce the system block diagram for chaotic communications. Mainly the RF block is important for the system to have good performance based on the chaotic signal generator. And the main control board functions for controlling RF blocks, processing Tx and Rx data, and networking in MAC layer.

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전압 제어형 카오스회로의 온도특성 해석 (Temperature Analysis of the Voltage Contolled Chaotic Circuit)

  • 박용수;주계초;송한정
    • 한국산학기술학회논문지
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    • 제14권8호
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    • pp.3976-3982
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    • 2013
  • 본 논문에서는 전압 제어형 카오스 신호 발생회로를 설계하고, 온도변화에 따른 특성을 해석 하였다. 제안하는 CMOS 회로로 이루어지며, 카오스 특성의 전압 제어형 오실레이터의 온도 변화에 따른 특성해석을 실시하였다. 제안하는 회로는 2상 클럭의 샘플앤드회로 3개의 MOS 소자로 이루어지는 비선형 함수 블록과 소스 팔로워로 이루어지는 레벨 쉬프터로 구성된다. SPICE 모의실험을 통하여 온도변화에 따른, 비선형함수의 전달함수 변화를 통하여, 분기도 특성, 주파수 특성 등의 카오스 다이나믹스가 변화됨변화됨을 확인 하였다. 또한 $25^{\circ}C$ 의 온도 조건에서, 제어전압 1.2 V-2.3 V 범위에서, 카오스 신호가 생성됨을 확인하였다.

UWB Chaotic-OOK 통신을 위한 Chaotic 신호 발생 회로 설계 (Design of Quasi Chaotic Signal Generation Circuit for UWB Chaotic-OOK Communications)

  • 정무일;이창석
    • 한국전자파학회논문지
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    • 제18권1호
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    • pp.90-95
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    • 2007
  • LDR(Low Date Rate) UWB(Ultra Wide Band) 시스템에서 chaotic 신호를 이용한 OOK(On Off Keying) 통신 방법이 선택적 사항으로 채택되어 있다. 이 시스템에서 중요 회로 중에 하나인 chaotic 신호 발생 회로는 현재 대부분 아날로그 형태의 피드백 구조를 이용하고 있으나, 아날로그 형태의 피드백 구조는 공정 변화에 대한 취약점이 있어 양산성에 어려움이 있다. 이를 해결하기 위해 본 논문에서는 0.18 um CMOS 공정을 이용하여 디지털 구조의 PN-sequence를 응용하여 중심 주파수 4 GH에서 2 GHz의 대역폭을 갖는 Quasi-chaotic 신호 발생 회로를 설계 및 검증하였다.

Chaotic behavior analysis in the mobile robot of embedding some chaotic equation with obstacle

  • Bae, Youngchul;Kim, Juwan;Kim, Yigon
    • 한국지능시스템학회논문지
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    • 제13권6호
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    • pp.729-736
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    • 2003
  • In this paper, we propose that the chaotic behavior analysis in the mobile robot of embedding some chaotic such as Chua`s equation, Arnold equation with obstacle. In order to analysis of chaotic behavior in the mobile robot, we apply not only qualitative analysis such as time-series, embedding phase plane, but also quantitative analysis such as Lyapunov exponent In the mobile robot with obstacle. We consider that there are two type of obstacle, one is fixed obstacle and the other is VDP obstacle which have an unstable limit cycle. In the VDP obstacles case, we only assume that all obstacles in the chaos trajectory surface in which robot workspace has an unstable limit cycle with Van der Pol equation.

A Neuro-Fuzzy System Reconstructing Nonlinear functions from Chaotic Signals

  • Eguchi, Kei;Ueno, Fumio;Tabata, Toru;Zhu, Hong-Bin;Nagahama, Kaeko
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2000년도 ITC-CSCC -2
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    • pp.1021-1024
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    • 2000
  • In this paper, a neuro-fuzzy system for quantitative characterization of chaotic signals is proposed. The proposed system is differ from the previous methods in that the nonlinear functions of the nonlinear dynamical systems are calculated as the invariant factor. In the proposed neuro-fuzzy system, the nonlinear functions are determined by supervised learning. From the reconstructed nonlinear functions, the proposed system can generate extrapolated chaotic signals. This feature will help the study of nonlinear dynamical systems which require large number of chaotic data. To confirm the validity of the proposed system, nonlinear functions are reconstructed from 1-dimensional and 2-dimensional chaotic signals.

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