• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2000년도 추계학술대회 학술발표 논문집
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• pp.153-156
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• 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.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1997년도 하계학술대회 논문집 B
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• pp.533-535
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• 1997

Chua's circuit is a simple electronic network which exhibits a variety of bifurcation and attractors. The circuit consists of two capacitors, an inductor, a linear resistor, and a nonlinear resistor. In this paper we analyze a circuit obtained by replacing the parallel LC resonator in the Chua's circuit by lossless transmission line. By using the method of characteristics of this circuit we show that various periodic motions and chaotic motions can the attained according to parameter variations. From Chua's circuit with a lossless transmission line, a variety of chaotic attractors which are similar to those of the normal Chua's circuit are observed.

• 전산구조공학
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• 제10권4호
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• pp.239-249
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• 1997

랜덤하중 하에서의 구분적선형시스템이 갖는 노이즈의 영향으로 인해 그 특성이 많이 감소되거나 소멸된 응답거동으로부터 chaos거동을 검출하는 방법을 개발, 분석하였다. 해양에서 구조물이 받는 파력은 결정론적이 아닌 추계론적이다. 바람, 파도 그리고 조류 등에 의한 파력은 유한도의 랜던성을 갖으며, 이러한 파력은 지배적인 조화가진하중과 정규 백색노이즈를 더함으로써 표현할 수 있다. 외적 동요를 받는 시스템의 응답거동은 그 거동이 방해를 받으며, 이로 인해 chaos응답거동을 확인하기가 어려우며, 그 거동의 특성이 일반적인 랜덤거동과 다를 바가 없다. 이러한 경우, 평균 포인케어맵을 이용하여 랜덤노이즈에 의해 발견되지 않는 chaos응답거동을 식별할 수 있다. 본 연구에서는 직접수치시뮬레이션상에서 이러한 평균 포인케어맵을 만드는 방법을 개발하였으며, 얻어진 평균 포인케어맵의 적용범위에 대하여 분석하였다. 평균 포인케어맵은 노이즈가 포함된 조화가진하중을 받는 시스템의 chaos응답거동을 확인하는데 있어서 노이즈의 강도가 높을 때 일반적인 포인케어맵만으로는 놓칠 수 있는 chaos응답거동을 성공적으로 확인할 수 있음을 알아내었다. 또한 시스템의 응답거동에서 chaos의 특성이 완전히 사라지는 노이즈의 강도를 얻을 수 있음도 알아내었다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1998년도 하계학술대회 논문집 G
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• pp.2272-2274
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• 1998

This paper presents recognition and classification of high impedance fault(HIF) patterns in the electrical power systems based on chaotic features. Chaotic features are obtained from two dimensional chaos attractors reconstructed from fault current waveform. The RBFN is trained with the two types of HIF data generated by the electromagnetic transient program and measured from actual faults. The RBFN successfully classifies normal and the three types of fault patterns based on the binary chaotic features.

• Smart Structures and Systems
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• 제11권1호
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• pp.87-102
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• 2013

Vibration-based damage detection methods are popular for structural health monitoring. However, they can only detect fairly large damages. Usually impact pulse, ambient vibrations and sine-wave forces are applied as the excitations. In this paper, we propose the method to use the chaotic excitation to vibrate structures. The attractors built from the output responses are used for the minor damage detection. After the damage is detected, it is further quantified using the Kalman Filter. Simulations are conducted. A 5-story building is subjected to chaotic excitation. The structural responses and related attractors are analyzed. The results show that the attractor distances increase monotonously with the increase of the damage degree. Therefore, damages, including minor damages, can be effectively detected using the proposed approach. With the Kalman Filter, damage which has the stiffness decrease of about 5% or lower can be quantified. The proposed approach will be helpful for detecting and evaluating minor damages at the early stage.

• 대한전기학회논문지:전력기술부문A
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• 제48권12호
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• pp.1486-1491
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• 1999

This paper presents a method of recognizing high impedance fault(HIF) of electrical power systems and classifying fault patterns based on chaos attractors. Two dimensional chaos attractors are reconstructed from neutral point current waveforms. Reliable features for HIF pattern classification are obtained from the chaos attractors. Radial basis function network, trained with two types of HIF data generated by the electromagnetic transient program and measured form actual faults. The RBFN successfully classifies normal and the three types of fault patterns according to the features generated from the chaos attractors.

• Structural Engineering and Mechanics
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• 제9권4호
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• pp.397-416
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• 2000

The present study deals with the nonlinear dynamics and stability of autonomous dissipative either imperfect potential (limit point) systems or perfect (bifurcational) non-potential ones. Through a fully nonlinear dynamic analysis, performed on two simple 2-DOF models corresponding to the classes of systems mentioned above, and with the aid of basic definitions of the theory of nonlinear dynamical systems, new important phenomena are revealed. For the first class of systems a third possibility of postbuckling dynamic response is offered, associated with a point attractor on the prebuckling primary path, while for the second one the new findings are chaos-like (most likely chaotic) motions, consecutive regions of point and periodic attractors, series of global bifurcations and point attractor response of always existing complementary equilibrium configurations, regardless of the value of the nonconservativeness parameter.

• 한국통신학회논문지
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• 제22권2호
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• pp.318-324
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• 1997

Chua 회로는 간단한 전기 및 전자 회로를 구성하여 카오스 현상을 나타내는 회로로 자율, 3차계, 가역성(Reciprocal)이며 1개의 비션형 소자인 3구분 선형 저항과 4개의 선형 소자인 (R, L, $C_1,\;C_2$)로 구성되는 발진회로이다. 본 논문에서는 Chua 회로의 병렬 LC 공진기를 단락하여 시간 지연을 갖는 무손실 전송선로로 치환하고 특성 곡선법을 써서 파라미터 변화에 의한 카오스 운동과 주기운동이 있음을 위상공간과 분기도(Bifurcation diagram)로 확인 하였으며 무손실 전송선로가 원래의 Chua 회로와 유사한 어트렉터가 존재함을 확인하였다.

• 한국전자통신학회논문지
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• 제5권2호
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• pp.158-163
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• 2010

본 연구에서는 Chua 회로의 선형 요소인 R, L C 성분의 요소 중에서 포화 특성을 가지고 있어 상용화된 제품으로는 제작 구현이 어려운 L 성분을 C 성분으로 대체하는 간략화한 Chua's 회로를 실제 하드웨어를 이용하여 제작하고 그 결과로 얻은 생성된 카오스 어트랙터를 기존의 Chua's 회로와 비교하였다.

• 대한기계학회논문집
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• 제19권5호
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• pp.1158-1167
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• 1995

In this study, the dynamic instabilities of a beam, subjected to periodic short impulsive loading, are investigated using simple 2-DoF beam model. The behaviors of beam model whose axial motions are constrained are studied for the case of elastic and elastic-plastic behavior. In the case of elastic behavior, the chaotic responses due to the periodic pulse are identified, and the characteristics of the behavior are analysed by investigating the fractal attractors in the Poincare map. The short-term and long-term responses of the beam are unpredictable because of the extreme sensitivities to parameters, a hallmark of chaotic response. In the case of elastic-plastic behavior, the responses are governed by the plastic strains which occur continuously and irregularly as time increases. Thus the characteristics of the response behavior change continuously due to the plastic strain increments, and are unpredictable as well as the elastic case.