• Title/Summary/Keyword: periodic signal

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A Study on Chaos Control of a Chua' Oscillator Circuit Using a Lyapunov function (리아프노프 함수를 이용한 Chua 오실레이터 회로에서의 카오스 제어)

  • 배영철;고재호;유창환;홍대승;임화영
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.3 no.1
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    • pp.113-120
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    • 1999
  • In this paper, chaotic signals of a Chua's oscillator are effectively controlled to low periodic signal(1-periodic signal, 2-periodic signal, etc) or equilibrium point using the linear state feedback technique. The proposed linear state feedback technique has characteristics, that any solution of the Chua's oscillator can be a goal of the control(fixed point, periodic orbit, etc). The controller has a very simple structure, which does not require adjusting system parameters.

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Chaos Control in Chua's Circuit (Chua 회로에서의 카오스 제어)

  • Ko, Jae-Ho;Bang, Sung-Yun;Bae, Young-Chul;Yim, Wha-Yeong
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1083-1085
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    • 1996
  • Controlling chaos is a new concept, which transform chaotic signal to fixed points, or low periodic orbits. In this paper we propose state feedback method in order to control chaotic signal in canonical Chua's circuit Canonical Chua's circuit is a simple electronic circuit consists of two linear resistors, a linear inductor, two linear capacitors, and only one nonlinear element so called Chua's diode. This nonlinear element supplies power to the circuit and drives the chaotic oscillations. Proposed control method is successful to control chaotic signal in canonical Chua's circuit Result shows that chaotic trajectory change rapidly its orbit to stable fixed points, 1 periodic orbit, or 2 periodic orbit when control signal applies.

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Relationships between input-output stability and exponentially stable periodic orbits

  • Chung, Chung-Choo;Houser, John
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.155-158
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    • 1997
  • In this paper, we present new results concerning the relationship between the input-output and Lyapunov stability of nonlinear system possessing a periodic orbit. Definition of small-signal finite-gain L$\sub$p/ stability around periodic orbit is introduced. We show L$\sub$p/ stability of exponentially stable periodic orbit using quadratic Lyapunov functions for the periodic orbit. The L$\sub$2/ gain analysis is presented with Hamiltonian-Jacobi inequality along with an example.

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Chaos system control via discrete signals (이산 신호에 의한 카오스 시스템 제어)

  • 양기철;권세현;안기형
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.147-150
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    • 1997
  • In the study, we consider chua's circuit which is a paradigmatic chaotic system belonging to Lur'e form. 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 We investigate the case when this signal is sampled, i.e. we supply to the system the control signal at discrete time moments only.

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Fault localization method of a train in cruise (주행 중 철도 차량의 결함 위치 추정 방법)

  • Jeon, Jong-Hoon;Kim, Yang-Hann
    • Proceedings of the KSR Conference
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    • 2007.11a
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    • pp.903-912
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    • 2007
  • Faults of rotating parts of a train normally generate unexpected frequency band or impulsive sound[1] which has a period when it moves with a constant speed. The former can be detected by the moving frame acoustic holography method, which visualizes sound field that is generated by a moving and emitting pure tone or band limited noise source. We have attempted to apply the method to the latter case: the periodic impulsive sound which generate different signal compared with what can be measured by the band limited noise. The signal to noise ratio which determines the success of early fault detection must also be studied with the impulsive and moving signal. This research shows how the problems related with these issues can be resolved. The main idea is that periodic impulsive signal can be expressed by infinite set of discrete pure tones. This enables us to obtain lots of holograms that visualize periodic impulsive sound field including noise by using the moving frame acoustic holography method. Therefore holograms can be averaged to improve the signal to noise ratio until having reliable information that exhibits where the impulsive sources are. Theory and experiment by using the miniature vehicle are described [Work supported by BK21 & KRRI].

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A Study on Performance Improvement of Active Noise Control Using Synchronous Sampling Method (동기화한 이산화법을 이용한 능동소음제어의 성능향상에 관한 연구)

  • Kim, Heung-Seob;Oh, Jae-Eung;Shin, Joon
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.10
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    • pp.2523-2532
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    • 1994
  • In this paper, active noise control is performed in a duct system using the periodic pulse train which corresponds to the periodic component of noise source as a reference signal. Control algorithm applied in this study is possible to eliminate the acoustic feedback which occurs in the conventional filtered-x and filtered-u LMS algorithm by using electrical reference signal and has the fast adaptation speed with low filter orders by using synchronous sampling method is discussed via computer simulations and experiments of case studies such as frequency modulation, amplitude modulation and frequency differency between source signal and reference signal.

The errors and reducing method in the frequency response function from impact hammer testing (충격햄머 가진으로 구한 주파수응답함수의 오차와 해결방법)

  • 안세진;정의봉
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.71-77
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    • 2002
  • The spectrum of impulse response signal which is obtained from an impulse hammer testing is used for frequency response function, nevertheless it has serious faults when the record length for the signal processing is not very long. The faults cannot be avoided with the conventional signal analyzer that is processing all the signals as if they are always periodic. The signals generated by the impact hammer are undoubtedly non-periodic because of the damping, and are acquired for limited recording time due to the memory as well as the computation performance of the signal analyzer. This paper will make clear the relation between the faults and the length of recording time, and propose the way for solving the faults.

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Analysis of Hertzian Contact using East Fourier Transform (FFT를 이용한 Hertzian Contact 해석)

  • 구영필;조용주
    • Tribology and Lubricants
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    • v.14 no.4
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    • pp.121-127
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    • 1998
  • In this study, a numerical procedure to solve a contact problem has been developed. The procedure takes advantage of signal processing technique in frequency domain to achieve shorter computing time. Boussinesq's equation was adopted as the response function. This procedure is applicable to a non-periodic surface profile as well as a periodic one. The validity of this procedure has been established by comparing the numerical results with the exact solutions. The fastness of this procedure was shown in comparison with other algorithm.

ECG Signal Compression based on Adaptive Multi-level Code (적응적 멀티 레벨 코드 기반의 심전도 신호 압축)

  • Kim, Jungjoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.23 no.6
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    • pp.519-526
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    • 2013
  • ECG signal has the feature that is repeated in a cycle of P, Q, R, S, and T waves and is sampled at a high sampling frequency in general. By using the feature of periodic ECG signals, maximizing compression efficiency while minimizing the loss of important information for diagnosis is required. However, the periodic characteristics of such amplitude and period is not constant by measuring time and patients. Even though measured at the same time, the patient's characteristics display different periodic intervals. In this paper, an adaptive multi-level coding is provided by coding adaptively the dominant and non-dominant signal interval of the ECG signal. The proposed method can maximize the compression efficiency by using a multi-level code that applies different compression ratios considering information loss associated with the dominant signal intervals and non-dominant signal intervals. For the case of long time measurement, this method has a merit of maximizing compression ratio compared with existing compression methods that do not use the periodicity of the ECG signal and for the lossless compression coding of non-dominant signal intervals, the method has an advantage that can be stored without loss of information. The effectiveness of the ECG signal compression is proved throughout the experiment on ECG signal of MIT-BIH arrhythmia database.

The Periodic Moving Average Filter for Removing Motion Artifacts from PPG Signals

  • Lee, Han-Wook;Lee, Ju-Won;Jung, Won-Geun;Lee, Gun-Ki
    • International Journal of Control, Automation, and Systems
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    • v.5 no.6
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    • pp.701-706
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    • 2007
  • The measurement accuracy for heart rate or $SpO_2$ using photoplethysmography (PPG) is influenced by how well the noise from motion artifacts and other sources can be removed. Eliminating the motion artifacts is particularly difficult since its frequency band overlaps that of the basic PPG signal. Therefore, we propose the Periodic Moving Average Filter (PMAF) to remove motion artifacts. The PMAF is based on the quasi-periodicity of the PPG signals. After segmenting the PPG signal on periodic boundaries, we average the $m^{th}$ samples of each period. As a result, we remove the motion artifacts well without the deterioration of the characteristic point.