• 제목/요약/키워드: Chaotic System

검색결과 388건 처리시간 0.022초

Fuzzy Modeling of a PMSM Chaotic System

  • Zhong Li;Joo, Young-Hoon;Park, Jin-Bae
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 2000년도 추계학술대회 학술발표 논문집
    • /
    • pp.153-156
    • /
    • 2000
  • In this paper, a mathematical model of a permanent-magnet synchronous motor (PMSM) is derived, and the steady-state characteristics of this system, when subject to constant input voltages and constant external torque, are formulated. It is shown that the PMSM model can exhibit a variety of chaotic phenomena, under some choices of system parameters and external inputs. Based on TS fuzzy modeling methodology, the TS fuzzy model of the PMSM chaotic system is presented, so the interaction between fuzzy system and chaos can be explored, and then fuzzy-model-based control methodologies can be used to control chaos in chaotic systems. Computer simulations show that the strange attractors in the derived TS fuzzy system and original chaotic system are topologically equivalent.

  • PDF

A Neuro-Fuzzy System Reconstructing Nonlinear functions from Chaotic Signals

  • Eguchi, Kei;Ueno, Fumio;Tabata, Toru;Zhu, Hong-Bin;Nagahama, Kaeko
    • 대한전자공학회:학술대회논문집
    • /
    • 대한전자공학회 2000년도 ITC-CSCC -2
    • /
    • pp.1021-1024
    • /
    • 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.

  • PDF

Chaos in PID Controlled Nonlinear Systems

  • Ablay, Gunyaz
    • Journal of Electrical Engineering and Technology
    • /
    • 제10권4호
    • /
    • pp.1843-1850
    • /
    • 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.

카오스-심전도 분석기의 설계 및 응용에 관한 연구 (A Study on Design of a Chaos-ECG Analyzer and Its Applications)

  • 이병채;이명호
    • 대한의용생체공학회:의공학회지
    • /
    • 제14권4호
    • /
    • pp.379-386
    • /
    • 1993
  • This paper describes design of a Chaos analyser and its applications to analysis of nonlinear characteristirs of ECG. The proposed system can easily distinguish chaotic system among the various dynamical systems by chaotic quantitative and qualitative analysis and also chaotic characteristics which represents states of nonlinear dynamical system. And we have also proposed new possibilities to recognize abnormal state of ECG signal using the chaotic characteristics.

  • PDF

백스테핑을 이용한 카오스 Liu 시스템의 제어 (Control and Tracking Chaotic Liu Systems via Backstepping Design)

  • 유성훈;현창호;박민용
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2006년 학술대회 논문집 정보 및 제어부문
    • /
    • pp.324-326
    • /
    • 2006
  • This paper present backstepping control approach for controling chaotic Liu system. The proposed method is a systematic design approach and consists in a recursive procedure that interlaces the choice of a Lyapunov Function. Based on Lyapunov stability theory, control laws are derived. We used the same technique to enable stabilization of chaotic motion to a steady state as well as tracking of any desired trajectory to be achieved in a systematic way. Numerical solution are shown to verify the result.

  • PDF

카오틱 신경망을 이용한 적응제어에 관한 연구 (A study on the Adaptive Neural Controller with Chaotic Neural Networks)

  • Sang Hee Kim;Won Woo Park;Hee Wook Ahn
    • 융합신호처리학회논문지
    • /
    • 제4권3호
    • /
    • pp.41-48
    • /
    • 2003
  • 본 논문은 개선된 카오틱 신경망을 이용한 비선형 시스템의 적응제어에 관한 것이다. 개선된 카오틱 신경망은 기존의 카오틱 신경망을 간략화하며 동적 특성을 강화하기 위하여 제안하였다 또한 새로운 동적 역전파 학습방법을 개발하였다. 제안된 신경회로망은 다변수 시스템의 시스템식별과 신경망 적응제어 시스템에 적용하였다. 제안된 신경망은 비선형 동적시스템에 우수한 적응성을 가지므로 시뮬레이션 결과는 우수한 성능을 보였다.

  • PDF

Numerical investigation on multi-degree-freedom nonlinear chaotic vibration isolation

  • Jiang, Guoping;Tao, Weijun
    • Structural Engineering and Mechanics
    • /
    • 제51권4호
    • /
    • pp.643-650
    • /
    • 2014
  • A chaotic vibration isolation system is designed according to the chaotic vibration theory in this paper. The strong nonlinearity is generated by the system. Line spectra in the radiated noise maybe easily detected caused by marine vessels. It is Important to reduce the line spectra by improving the acoustic stealth of marine vessels. A multi-degree-freedom (MDF) nonlinear vibration isolation system (NVIS) system is setup by the experiment and finite element method. The model is established with finite element method. The results show that the behavior of the device gradually varies from period bifurcation into chaotic state and the line spectrum is changed from single spectral structure into broadband spectral structure. It is concluded that chaotic vibration isolation is preferable contrasted on line spectra isolation.

HVPM 모델을 이용한 카오스 동기화 (Chaotic Synchronization of Using HVPM Model)

  • 여지환;이익수
    • 한국산업정보학회논문지
    • /
    • 제6권4호
    • /
    • pp.75-80
    • /
    • 2001
  • 본 논문에서는 복잡한 하이퍼카오스 신호를 발생시키는 HVPM(Hyperchaotic Volume Preserving Maps) 모델을 이용한 카오스 동기화 알고리즘을 제안하고자 한다. 제안한 HVPM 모델은 3차원 이산시간(discrete-time) 연립 차분방정식으로 구성되어 있으며, 비선형 사상(maps)과 모듈러(modulus) 함수를 사용하여 랜덤한 카오스 어트랙터(attractor)를 발생시킨다. Pecora와 Caroll은 최근 카오스 시스템이 카오스 신호를 이용하여 동기화가 가능하다고 보고하였다. 따라서 본 논문에서는 하이퍼카오스 신호를 발생시키는 HVPM 모델간의 동기화를 위하여 결합동기(coupled synchronization) 알고리듬을 제안하였다. 모의실험에서 카오스 시스템과 하이퍼카오스 신호를 결합하여 카오스 동기화 현상을 확인할 수 있었다.

  • PDF

New chaotic map development and its application in encrypted color image

  • JarJar, Abdellatif
    • Journal of Multimedia Information System
    • /
    • 제8권2호
    • /
    • pp.131-142
    • /
    • 2021
  • This paper traces the process of constructing a new one-dimensional chaotic map, and will provide a simple application in color image encryption. The use of Sarkovskii's theorem will make it possible to determine the existence of chaos and restrict all conditions to ensure the existence of this new sequence. In addition, the sensitivity to initial conditions will be proved by Lyapunov's index value. Similarly, the performance of this new chaotic map will be illustrated graphically and compared with other chaotic maps most commonly used in cryptography. Finally, a humble color image encryption application will show the power of this new chaotic map.

비압축성 유동장내 2차원 익형의 혼돈거동 (Chaotic Behavior of 2-Dimensional Airfoil in Incompressible Flow)

  • 정성원;이동기;이상환
    • 대한기계학회논문집
    • /
    • 제19권2호
    • /
    • pp.495-508
    • /
    • 1995
  • The self-excited vibrations of airfoil is related to the classical flutter problems, and it has been studied as a system with linear stiffness and small damping. However, since the actual aircraft wing and the many mechanical elements of airfoil type have various design variables and parameters, some of these could have strong nonlinearities, and the nonlinearities could be unexpectedly strong as the parameters vary. This abrupt chaotic behavior undergoes ordered routes, and the behaviors after these routes are uncontrollable and unexpectable since it is extremely sensitive to initial conditions. In order to study the chaotic behavior of the system, three parameters are considered, i.e., free-stream velocity, elastic distance and zero-lift angle. If the chaotic parameter region can be identified from the mathematically modeled nonlinear differential equation system, the designs which avoid chaotic regions could be suggested. In this study, by using recently developed dynamically system methods, and chaotic regions on the parameter plane will be found and the safe design variables will be suggested.