• Title/Summary/Keyword: 비선형함수

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Nonlinear Characteristics of Non-Fuzzy Inference Systems Based on HCM Clustering Algorithm (HCM 클러스터링 알고리즘 기반 비퍼지 추론 시스템의 비선형 특성)

  • Park, Keon-Jun;Lee, Dong-Yoon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.11
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    • pp.5379-5388
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    • 2012
  • In fuzzy modeling for nonlinear process, the fuzzy rules are typically formed by selection of the input variables, the number of space division and membership functions. The Generation of fuzzy rules for nonlinear processes have the problem that the number of fuzzy rules exponentially increases. To solve this problem, complex nonlinear process can be modeled by generating the fuzzy rules by means of fuzzy division of input space. Therefore, in this paper, rules of non-fuzzy inference systems are generated by partitioning the input space in the scatter form using HCM clustering algorithm. The premise parameters of the rules are determined by membership matrix by means of HCM clustering algorithm. The consequence part of the rules is represented in the form of polynomial functions and the consequence parameters of each rule are identified by the standard least-squares method. And lastly, we evaluate the performance and the nonlinear characteristics using the data widely used in nonlinear process. Through this experiment, we showed that high-dimensional nonlinear systems can be modeled by a very small number of rules.

Thermoacoustic Analysis Model for Combustion Instability Prediction - Part 2 : Nonlinear Instability Analysis (연소 불안정 예측을 위한 열음향 해석 모델 - Part 2 : 비선형 안정성 해석)

  • Kim, Daesik;Kim, Kyu Tae
    • Journal of the Korean Society of Propulsion Engineers
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    • v.16 no.6
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    • pp.41-47
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    • 2012
  • It is very important to predict the nonlinear behavior of combustion instability such as transition phenomena and limit cycle amplitude for fully understanding and controlling the instabilities. These nonlinear instability characteristics are highly dependent upon the flames' nonlinear dynamics in a gas turbine premixed combustor. In this study, nonlinear instability TA(Thermo-acoustic) models were introduced by applying the concept of flame describing function to the thermoacoustic analysis method. As a result of model development, for a given combustor length, the growth rate of instability was greatly affected by the change in amplitude, although the instability frequency was not. Further researches under various operating conditions and model validation on limit cycle amplitude are required.

PAPR Reduction Technique and BER Performance Improvement in OFDM-based Wireless Visible Light Communication (OFDM을 사용하는 무선 가시 광통신에서의 PAPR 저감 기법과 BER성능 개선)

  • Ryu, Sang-Burm;Ryu, Heung-Gyoon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.3A
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    • pp.189-197
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    • 2011
  • OFDM systems are much studied for the recent high speed wireless optical communication system. OFDM system has basically high PAPR and ICI easily generated because of non-linearity and RF impairments. In the wireless optical communication system, optical output power driven by current of LED is not linear so that transmission signals are distorted. Therefore, research about reception performance of this nonlinear optical output emitted by non-linear LED transfer function and OFDM signal has been conducted. Nonlinear effect of LED is different from nonlinear effect of OFDM system in the conventional radio communication system, which degrades the BER performance. In this paper, we apply non-linear transfer function of recently studied LED into OFDM system. So, for reducing the PAPR and suppressing the ICI in frequency domain of receiver, we suggest a new PAPR reduction technique to reduce non-linear distortion of LED and an adaptive ICI suppression algorithm so that BER performance may be improved. Also, the proposed method is verified through simulation results.

Computations of Wave Energy by Stream Function Wave Theory (흐름함수파이론에 의한 파랑 에너지의 계산)

  • Lee, Jung Lyul;Pyun, Chong Kun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.6 no.2
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    • pp.67-75
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    • 1986
  • This paper introduces the nonlinear Stream Function Wave Theory for design waves efficiently to compute the wave energy and energy transport quantities and to analyze the effects of nonlinearities on them. The Stream Function Wave Theory was developed by Dean for case of the observed waves with assymmetric wave profiles and of the design waves with symmetric theoretical wave profiles. Dalrymple later improved the computational procedure by adding two Lagrangian constraints so that more efficient convergence of the iterative numerical method to a specified wave height and to a zero mean free surface displacement resulted. And the Stream Function coefficients are computed numerically by the improved Marquardt algorithm developed for this study. As the result of this study the effects of nonlinearities on the wave quantities of the average potential energy density, the average kinetic energy density result in overestimation by linear wave theory compared to the Stream Function Wave Theory and increase monotonically with decreasing $L^*/L_O$ and with increasing $H/H_B$. The effects of nonlinearities on the group velocity and the wavelength quantities result in underestimation by linear wave theory and increase monotonically with increasing $H/H_B$. Finally the effect of nonlinearity on the average total energy flux results in overestimation for shallow water waves and underestimation for deep water waves by linear wave theory.

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Robust Fuzzy controller Design for Uncertain Nonlinear systems (불확실성을 가지는 비선형 시스템의 견실 퍼지 제어기 설계)

  • 정은태;권성하;조중선
    • Journal of the Korean Institute of Intelligent Systems
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    • v.8 no.3
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    • pp.26-32
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    • 1998
  • 본 논문은 파라미터 불확실성을 가지는 비선형 시스템을 안정화하는 견실 퍼지 제어기 설계 기법을 제시한다. 견실 퍼지 제어기를 설계하기 위하여, 비선형 시스템을 Takagi-Sugeon(T-S)모델로 표현하고 퍼지 제어기는 병렬 분한 보상(PDC : parallel distributed compensation)의 개념을 이용한다. Lyapunov함수를 이용하여 파라미터 불확실성을 가지는 T-S퍼지 모델의 안정성을 논하고, 견실 퍼지 제어기가 존재할 충분조건을 선형 행렬 부등식(LMI " linear materix inequality)을 이용하여 나타낸다. 이러한 선형 행렬 부등식의 해들로부터 견실 퍼지 제어기를 직접적으로 구할 수 있다.

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A Hybrid Genetic Algorithm for Solving Nonlinear Optimization Problems (비선형 최적화문제 해결을 위한 혼합유전알고리즘)

  • 윤영수;문치웅;이상용
    • Journal of Intelligence and Information Systems
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    • v.3 no.2
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    • pp.11-22
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    • 1997
  • 본 연구에서는 비선형 최적화 문제를 효율적으로 해결하기 위한 혼합유전알고리즘(Hybrid Genetic Algorthm : HGA)을 개발하였다. HGA는 기존 유전알고리즘의 적용에 있어 문제점으로 지적된 정밀도의 적용문제와 벌금함수의 사용을 배제하였으며 지역적최적점으로 빠르게 수렴하는 기존의 지역적 탐색법과 유전알고리즘 적용이후 수렴된 해 주변에 대한 정밀탐색법을 함께 고려하여 설계하였으며 이를 세가지의 비선형 최적화 문제 적용하여 본 논문에서 개발한 HGA의 유효성을 보였다.

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Adaptive Discrete Time Sliding-Mode Tracking Control of a Proportional Control Valve-Hydraulic System in the presence of friction (비선형 마찰특성을 고려한 비례제어밸브·유압실린더계의 적응 이산시간 슬라이딩모드 추적제어)

  • Yu, Hwan-Shin;Park, Hyung-Bae
    • Journal of Advanced Navigation Technology
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    • v.13 no.5
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    • pp.756-762
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    • 2009
  • As nonlinear friction, stick-slip friction in hydraulic actuators are a problem for accuracy and repeatability. Therefore friction compensation has been approached through various control algorithms. A Adaptive discrete time sliding mode tracking controller has been applied in order to compensate the nonlinear friction characteristics in a hydraulic Actuator. Based on the diophantine equation, a new discrete time sliding function is defined and utilized for the control law which includes a friction and modeling error. Robustness is increased by using both a projection algorithm and a sliding function-based nonlinear feedforward. From the results of simulation and experiment good tracking performance is achieved.

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Storage Type Nonlinear Hydrological Forecasting Model (저류함수형(貯溜凾數型) 비선형(非線型) 수문예측모형(水文豫測模型))

  • Baek, Un Il;Yoon, Tae Hoon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.2 no.2
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    • pp.29-38
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    • 1982
  • Nonlinear hydrological model containing the nonlinearity of effective rainfall, lag time and runoff is presented. In the evaluation of rainfall excess, the polynomial fitting method for total rainfall, 5 day antecedant rainfall and direct runoff is developed. In the application to actual watershed, the estimated model parameters of nonlinear lag model reflecting the nonlinearity of lag time are compared with the parameters, by both the fitting method and the correlation, model which are the modified version of the storage function model. The Successive Approximation Method in mathematical solution and Newton-Rhapson method in numerical solution are found to be superior to the conventional numerical graphic method in the analysis of nonlinear processes.

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Automatic Design of Steel Frame Using Nonlinear Analysis (비선형 해석을 이용한 강뼈대구조물의 자동화설계)

  • Kim, Chang Sung;Ma, Sang Soo;Choi, Se Hyu;Kim, Seung Eock
    • Journal of Korean Society of Steel Construction
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    • v.14 no.2
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    • pp.339-348
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    • 2002
  • The study developed an automatic design method of steel frames which uses nonlinear analysis. The geometric nonlinearity was considered using stability functions. Likewise, the transverse shear deformation effect in a beam-column was explained. A direct search method was used as an automatic design technique. The unit value of each part was evaluated using LRFD interaction equation. The member with the largest unit value was replaced one by one with an adjacent larger member selected from the database. The weight of the steel frame was considered as an objective function. On the other hand, load-carrying capacities, deflections, inter-story drifts, and ductility requirement were used as constraint functions. Case studies of a two-dimensional and a three-dimensional two-story frames were presented.

Intelligent Decentralized Observer Design for Discrete-Time Nonlinear Interconnected Systems (이산시간 비선형 상호결합 시스템을 위한 지능형 분산 관측기 설계)

  • Koo, Geun Bum
    • Journal of the Korean Institute of Intelligent Systems
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    • v.27 no.1
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    • pp.15-21
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    • 2017
  • In this paper, the decentralized fuzzy observer design technique is presented for discrete-time nonlinear interconnected systems, which are assumed to be with unknown interconnections. To design the decentralized fuzzy observer, the design problem is considered and the performance function is defined to solve the design problem. Based on the performance function, the sufficient condition is derived for the observer design, and its condition is formulated into linear matrix inequalities. Finally, by the simulation result, the validity of the proposed observer design technique is shown.