• Title/Summary/Keyword: 비선형함수

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Extraction of Nonlinear Dynamical Component by Wavelet Transform in Hydro-meteorological Data (수문기상자료의 웨이블렛 변환에 의한 비선형 동역학적 성분의 추출)

  • Jin, Young-Hoon;Park, Sung-Chun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.5B
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    • pp.439-446
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    • 2006
  • In the present study, we applied wavelet transform to decompose the hydro-meteorological data such as precipitation and temperature into the components with different return periods with a primary objective for extraction of nonlinear dynamical component. For the transform, we used the Daubechies wavelet of order 9 ('db9') as a basis function. Also, we applied the correlation dimension analysis to determine whether or not the detail and approximation components at the respective decomposition stage with the increasing of scale in the wavelet transform reveal the nonlinear dynamical characteristics. In other words, we proposed the combined use of the wavelet transform and the correlation dimension analysis as methodology to extract the nonlinear dynamical component from the hydro-meteorological data. The derived result has shown the method proposed in the present study is suitable for the segregation and extraction of the nonlinear dynamical component which is, in general, difficult to reveal by using the raw data.

Musical Tone Synthesis using Nonlinear Distortion Method (비선형 왜곡법을 이용한 악기음의 합성)

  • Lee Duck-Soo;Sung Keong-Mo
    • The Journal of the Acoustical Society of Korea
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    • v.8 no.5
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    • pp.33-50
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    • 1989
  • In this paper, musical tone, especially instrument tones are synthesized using nonlinear distortion technique. Nonlinear distortion is very simple but versatile method when you synthesize musical instrument tones. It basically consists of one sine oscillator and amplifier which makes distortion to Input wave. Output wave has many harmonics that can be controlled by varying shaping function, which is the transfer function of nonlinear amplifier. Shaping function Is obtained from the analyzed harmonic amplitude data. Given harmonics amplitudes, Chebyshev polynomial is used to produce the shaping function that exactly makes the given harmonics at steady state. We contructed non -real time nonlinear distortion synthesizer program running at IBM-PC. To quantify the satis faction of synthesised tones, listening test is carried out, and the result is presented.

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Design for CMAC Neural Network Speed Controller of DC Motor by Digital Simulations (디지털 시뮬레이션에 의한 CMAC 신경망 직류전동기 속도 제어기 설계)

  • 최광호;조용범
    • The Transactions of the Korean Institute of Power Electronics
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    • v.6 no.3
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    • pp.273-281
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    • 2001
  • In this paper, we propose a CMAC(Cerebellar Model Articulation Controller) neural network for controlling a non-linear system. CMAC is a neural network that models the human cerebellum. CMAC uses a table look-up method to resolve the complex non-linear system instead of numerical calculation method. It is very fast learn compared with other neural networks. It does not need a calculation time to generate control signals. The simulation results show that the proposed CMAC controllers for a simple non-linear function and a DC Motor speed control reduce tracking errors and improve the stability of its learning controllers. The validity of the proposed CMAC controller is also proved by the real-time tension control.

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Approximate Probability Density for the Controlled Responses of Randomly Excited Saturated Oscillator (불규칙 가진을 받는 포화 진동계의 응답제어에 관한 확률밀도 추정)

  • 박지훈;김홍진;민경원
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.3
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    • pp.301-309
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    • 2003
  • The non linear control algorithm with actuator saturation for a randomly excited oscillator has been widely explored and has shown promising results, but the probabilistic analysis of the algorithm has been rarely made due to its non-linear nature and the fact that the analytical solution of probability density function (PDF) for controlled responses does not exist. In this paper, a method for the probabilistic analysis on the non linear control algorithm with actuator saturation is proposed based on the equivalent non linear system method. Numerical examples are given to verify the approximation solution of PDF comparing to a statistically obtained PDF using a Gaussian white noise and a Kanai - Tagimi filtered Gaussian white noise.

The Multisignal Improvement of Adaptive Receiver using Adaptive Back-Propagation Algorithm (적응 역전파 알고리즘을 이용한 적응 수신기의 다중 신호 개선)

  • Kim, Chul-Young;Jang, Hyuk;Suk, Kyung-Hyu;Na, Sand-Dong
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2000.05a
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    • pp.188-194
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    • 2000
  • 이동 통신에서 제한된 대역폭 채널에 내부 심볼 간섭을 감소시키기 위해, 등화기 기법을 필요로한다. 채널간의 비선형 왜곡을 효율적으로 다루는 대안을 가진 신경망을 사용하여 새로운 활성 함수로 구성된 적응 역전파 알고리즘을 연구한다. 신경망은 적응 역전파 알고리즘을 통해 신호를 복조하도록 학습한다. 특히 수정된 적응 역전파 알고리즘이 근접된 최적 수행성을 갖는 단일 및 다중 사용자 검출을 위한 샘플링 기법은 다중 사용자 환경에서 필요한 수신기들의 수행성을 평가하기 위한 시뮬레이션을 위하여 사용이 된다. 채널간의 비선형 왜곡에 효율적으로 다루기 위한 대안을 가진 신경망을 적용하여 본 논문에서 는 새로운 활성 함수로 구성된 적응 역전파 알고리즘을 제안하고, 컴퓨터 시뮬레이션에 의해서 분석된다. 반복적 최소 평균 자승(RLS) 알고리즘을 적용한 기존 수신기 및 적응 역전파 신경망과 비교하여, 채널 왜곡이 비선형 일 때에 비트 에러율(BER)이 현저하게 개선됨을 나타낸다. 적응 역전파 알고리즘 기법을 통해 기존 수신기와 신경망을 사용한 수신기의 수행을 컴퓨터 시뮬레이션을 통해 비교 분석하여 제안된 신경망 수신기의 성능이 우수함을 인증한다.

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The Petrov-Galerkin Natural Element Method : III. Geometrically Nonlinear Analysis (페트로프-갤러킨 자연요소법 : III. 기하학적 비선형 해석)

  • Cho, Jin-Rae;Lee, Hong-Woo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.2
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    • pp.123-131
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    • 2005
  • According to ow previous study, we confirmed That the Petrov-Galerkin natural element method(PG-NEM) completely resolves the numerical integration inaccuracy in the conventional Bubnov-Galerkin natural element method(BG-NEM). This paper is an extension of PG-NEM to two-dimensional geometrically nonlinear problem. For the analysis, a linearized total Lagrangian formulation is approximated with the PS-NEM. At every load step, the grid points ate updated and the shape functions are reproduced from the relocated nodal distribution. This process enables the PG-NEM to provide more accurate and robust approximations. The representative numerical experiments performed by the test Fortran program, and the numerical results confirmed that the PG-NEM effectively and accurately approximates The large deformation problem.

Control of DC-Servomotor Speed by Using Fuzzy Controller (퍼지제어기를 이용한 DC 서보 모터의 속도 제어)

  • Kang, Geun-Taek;Kim, Young-Taek
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.26 no.1
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    • pp.76-80
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    • 1990
  • DC-servomotor acts an important role in robots and manipulatirs. But the precise control of DC-motor is difficult by a using usual linear controller because of the nonlinear characteristics of DC-motor. This study suggests the use of fuzzy controller in the control of DC-servomotor speed. The fuzzy controller is designed from a fuzzy model which can represent nonlinear systems very well. Hence the fuzzy controller is very useful in the control of nonlinear systems such as DC-motor. We construct a fuzzy model of DC-servomotor, design a fuzzy controller from the fuzzy model, and compare that with a linear controller. When we use the fuzzy controller, the static ripples are reduced and the rise time is required 20% less than in using a linear controller.

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The study on Induction motor of 'T-S Fuzzy Identification' (T-S Fuzzy Identification을 이용한 유도전동기 구현에 관한 연구)

  • Lee, Seung-Taek;Lee, Dong-Kwang;Ann, Ho-Kyun;Park, Seung-Kyu;Ahn, Jong-Keon;Yun, Tae-Sung;Kwak, Gun-Pyong
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.16 no.5
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    • pp.973-981
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    • 2012
  • In this paper, it suggest that nonlinear multivariable system control of induction motor using 'T-S Fuzzy Identification' 'T-S Fuzzy model of linearization' is not easy because of that arithmetic is difficult in computation of the function. Therefore 'T-S Fuzzy Identification' is suggested that the rules and functions through the estimation of high accuracy provides linearized model.

A Study on the DC Motor Control System using Nonlinear Controller with Dual-Input Describing Function (쌍입력 기술함수를 갖는 비선형 제어기를 이용한 직류전동기 제어시스템에 관한 연구)

  • 김익수;안영주;최연욱;이형기
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2000.12a
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    • pp.205-208
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    • 2000
  • In this paper, we'll show that an improved PDFF controller is obtained by substituting a feedforward compensator in the existing PDFF system with a dual-input describing function, and the controller has the ability of adjusting the bandwidth of a system as well as the phase margin simultaneously. The effectiveness of the proposed controller is confirmed by applying to the DC-motor position control system. As the results of simulation, we know that it is possible to design a controller by which the bandwidth of the closed system and its phase margin are easily adjusted.

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A study on the constitution of S box and G function in SEED-type cipher (SEED 형식 암호에서 S 박스와 G 함수 구성에 관한 연구)

  • 송홍복;조경연
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.4A
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    • pp.291-300
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    • 2002
  • In this paper, a way of constituting optimized S box and G function was suggested in the block cipher whose structure is similar to SEED, which is KOREA standard of 128-bit block cipher. S box can be formed with nonlinear function and an affine transform. Nonlinear function must be strong with differential attack and linear attack, and it consists of an inverse number over GF(2$\^$8/) which has neither a fixed point, whose input and output are the same except 0 and 1, nor an opposite flexed number, whose output is one's complement of the input. Affine transform can be constituted so that the input/output correlation can be the lowest and there can be no fixed point or opposite fixed point. G function undergoes diffusive linear transform with 4 S-box outputs using the matrix of 4$\times$4 over GF(2$\^$8/). G function can be constituted so that MDS(Maximum Distance Separable) code can be formed, SAC(Strict Avalanche Criterion) can be met, there can be no weak input, where a fried point, an opposite fried point, and output can be two's complement of input, and the construction of hardware can be made easy. The S box and G function suggested in this paper can be used as a constituent of the block cipher with high security, in that they are strong with differential attack and linear attack with no weak input and they are excellent at diffusion.