• Title/Summary/Keyword: Min-norm Method

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Brain Source Localization using EEG Signals (EEG신호를 이용한 뇌 신호원 국부화에 관한 연구)

  • Jung, Jae-Chul;Song, Min;Lee, He-Young
    • Proceedings of the IEEK Conference
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    • 2002.06e
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    • pp.133-136
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    • 2002
  • EEG(Electroencephalography) is generated by electrical activity between neurons in cortical. Waveform of EEG is changed according to body and mental states. Therefore EEG is used to diagnosis of encephalophyma and epilepsy, etc. Also EEG is used to HCI(Human-Computer Interface). This paper describes estimation of orientation and location of dipole sources. The forward model is three-layer spherical head model and current dipole model. Using analytical solution, EEG is generated. Using MNLS(Minimum-Norm Least-Square) method, orientation and location of dipole moment is estimated.

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Exact Solutions of Fuzzy Goal Programming Problems using $\alpha-cut$ Representations

  • Hong, Dug-Hun;Hwang, Chang-Ha
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.2
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    • pp.457-465
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    • 2004
  • Ramik[7] introduced a fuzzy goal programming (FGP)problem that generalizes a standard goal programming (GP) problem with fuzzy alternatives, fuzzy objective functions and fuzzy deviation functions for measuring the deviation between attained and desired goals being fuzzy. However, it is known that this FGP tends to produce an approximate solution since it uses an approximate fuzzy multiplication operation to solve the resultant fuzzy model. In this paper, we show that this FGP sometimes leads to the wrong decision. We also propose a procedure that gets the exact solution to overcome these problems. The method is based on $T_M$ (min norm)-based fuzzy operations using $\alpha-cut$ representations. We consider the same example as used in Ramik and investigate how our procedures are compared to Ramik's.

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Delay-dependent Robust Passivity for Uncertain Neural Networks with Time-varying Delays (시변 지연을 가진 불확실 뉴럴 네트워크에 대한 지연의존 강인 수동성)

  • Kwon, Oh-Min;Park, Ju-Hyun;Lee, Sang-Moon;Cha, En-Jong
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.11
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    • pp.2103-2108
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    • 2011
  • In this paper, the problem of passivity analysis for neural networks with time-varying delays and norm-bounded parameter uncertainties is considered. By constructing a new augmented Lyapunov functional, a new delay-dependent passivity criterion for the network is established in terms of LMIs (linear matrix inequalities) which can be easily solved by various convex optimization algorithms. Two numerical example are included to show the effectiveness of proposed criterion.

A Study of Inspection Module for Verifying Reliability on Railway Vehicle (철도차량 검측모듈의 신뢰성 검증 시험 연구)

  • Na, Kyung-min;Park, Young;Kwon, Sam-young
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.7
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    • pp.1155-1161
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    • 2017
  • This study examines environmental performance of the arcing measurement module according to international standards. The module assesses the collected current performance using a computer system. The module is required to assess environmental impact resulting from electromagnetic waves, shock and temperature change during train operation. The test includes testing EMI/EMC, vibration, shock and temperature cycling for interface between trains and the arcing measurement module. The module test items were determined in compliance with the standards suggested by the International Electrotechnical Commission (IEC) and Europaische Norm (EN). This study describes the method of test, test equipment operation and how to choose relevant performance standards. The analysis and test results of environmental performance for the module based on computer system are described in this study.

Stability and Robust H Control for Time-Delayed Systems with Parameter Uncertainties and Stochastic Disturbances

  • Kim, Ki-Hoon;Park, Myeong-Jin;Kwon, Oh-Min;Lee, Sang-Moon;Cha, Eun-Jong
    • Journal of Electrical Engineering and Technology
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    • v.11 no.1
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    • pp.200-214
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    • 2016
  • This paper investigates the problem of stability analysis and robust H controller for time-delayed systems with parameter uncertainties and stochastic disturbances. It is assumed parameter uncertainties are norm bounded and mean and variance for disturbances of them are known. Firstly, by constructing a newly augmented Lyapunov-Krasovskii functional, a stability criterion for nominal systems with time-varying delays is derived in terms of linear matrix inequalities (LMIs). Secondly, based on the result of stability analysis, a new controller design method is proposed for the nominal form of the systems. Finally, the proposed method is extended to the problem of robust H controller design for a time-delayed system with parameter uncertainties and stochastic disturbances. To show the validity and effectiveness of the presented criteria, three examples are included.

Rule Generation and Approximate Inference Algorithms for Efficient Information Retrieval within a Fuzzy Knowledge Base (퍼지지식베이스에서의 효율적인 정보검색을 위한 규칙생성 및 근사추론 알고리듬 설계)

  • Kim Hyung-Soo
    • Journal of Digital Contents Society
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    • v.2 no.2
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    • pp.103-115
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    • 2001
  • This paper proposes the two algorithms which generate a minimal decision rule and approximate inference operation, adapted the rough set and the factor space theory in fuzzy knowledge base. The generation of the minimal decision rule is executed by the data classification technique and reduct applying the correlation analysis and the Bayesian theorem related attribute factors. To retrieve the specific object, this paper proposes the approximate inference method defining the membership function and the combination operation of t-norm in the minimal knowledge base composed of decision rule. We compare the suggested algorithms with the other retrieval theories such as possibility theory, factor space theory, Max-Min, Max-product and Max-average composition operations through the simulation generating the object numbers and the attribute values randomly as the memory size grows. With the result of the comparison, we prove that the suggested algorithm technique is faster than the previous ones to retrieve the object in access time.

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Stress Constraint Topology Optimization using Backpropagation Method in Design Sensitivity Analysis (설계민감도 해석에서 역전파 방법을 사용한 응력제한조건 위상최적설계)

  • Min-Geun, Kim;Seok-Chan, Kim;Jaeseung, Kim;Jai-Kyung, Lee;Geun-Ho, Lee
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.35 no.6
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    • pp.367-374
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    • 2022
  • This papter presents the use of the automatic differential method based on the backpropagation method to obtain the design sensitivity and its application to topology optimization considering the stress constraints. Solving topology optimization problems with stress constraints is difficult owing to singularities, the local nature of stress constraints, and nonlinearity with respect to design variables. To solve the singularity problem, the stress relaxation technique is used, and p-norm for stress constraints is applied instead of local stresses for global stress measures. To overcome the nonlinearity of the design variables in stress constraint problems, it is important to analytically obtain the exact design sensitivity. In conventional topology optimization, design sensitivity is obtained efficiently and accurately using the adjoint variable method; however, obtaining the design sensitivity analytically and additionally solving the adjoint equation is difficult. To address this problem, the design sensitivity is obtained using a backpropagation technique that is used to determine optimal weights and biases in the artificial neural network, and it is applied to the topology optimization with the stress constraints. The backpropagation technique is used in automatic differentiation and can simplify the calculation of the design sensitivity for the objectives or constraint functions without complicated analytical derivations. In addition, the backpropagation process is more computationally efficient than solving adjoint equations in sensitivity calculations.

The Study of Driving Fatigue using HRV Analysis (HRV 분석을 이용한 운전피로도에 관한 연구)

  • 성홍모;차동익;김선웅;박세진;김철중;윤영로
    • Journal of Biomedical Engineering Research
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    • v.24 no.1
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    • pp.1-8
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    • 2003
  • The job of long distance driving is likely to be fatiguing and requires long period alertness and attention, which make considerable demands of the driver. Driving fatigue contributes to driver related with accidents and fatalities. In this study, we investigated the relationship between the number of hours of driving and driving fatigue using heart rate variability(HRV) signal. With a more traditional measure of overall variability (standard deviation, mean, spectral values of heart rate). Nonlinear characteristics of HRV signal were analyzed using Approximate Entropy (ApEn) and Poincare plot. Five subjects drive the four passenger vehicle twice. All experiment number was 40. The test route was about 300Km continuous long highway circuit and driving time was about 3 hours. During the driving, measures of electrocardiogram(ECG) were performed at intervals of 30min. HRV signal, derived from the ECG, was analyzed using time, frequency domain parameters and nonlinear characteristic. The significance of differences on the response to driving fatigue was determined by Student's t-test. Differences were considered significant when a p value < 0.05 was observed. In the results, mean heart rate(HRmean) decreased consistently with driving time, standard deviation of RR intervals(SDRR), standard deviation of the successive difference of the RR intervals(SDSD) increased until 90min. Hereafter, they were almost unchanging until the end of the test. Normalized low frequency component $(LF_{norm})$, ratio of low to high frequency component (LF/HF) increased. We used the Approximate Entropy(ApEn), Poincare plot method to describe the nonlinear characteristics of HRV signal. Nonlinear characteristics of HRV signals decreased with driving time. Statistical significant is appeared after 60 min in all parameters.

Robustness analysis of vibration control in structures with uncertain parameters using interval method

  • Chen, Su Huan;Song, Min;Chen, Yu Dong
    • Structural Engineering and Mechanics
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    • v.21 no.2
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    • pp.185-204
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    • 2005
  • Variations in system parameters due to uncertainties may result in system performance deterioration. Uncertainties in modeling of structures are often considered to ensure that control system is robust with respect to response errors. Hence, the uncertain concept plays an important role in vibration control of the engineering structures. The paper discusses the robustness of the stability of vibration control systems with uncertain parameters. The vibration control problem of an uncertain system is approximated by a deterministic one. The uncertain parameters are described by interval variables. The uncertain state matrix is constructed directly using system physical parameters and avoided to use bounds in Euclidean norm. The feedback gain matrix is determined based on the deterministic systems, and then it is applied to the actual uncertain systems. A method to calculate the upper and lower bounds of eigenvalues of the close-loop system with uncertain parameters is presented. The lower bounds of eigenvalues can be used to estimate the robustness of the stability the controlled system with uncertain parameters. Two numerical examples are given to illustrate the applications of the present approach.

Robust Transfer Alignment Method based on Krein Space (크레인 공간에 기반한 강인한 전달정렬 기법)

  • Sung-Hye Choe;Ki-Young Park;Hyoung-Min Kim;Cheol-Kwan Yang
    • Journal of Advanced Navigation Technology
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    • v.25 no.6
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    • pp.543-549
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    • 2021
  • In this paper, a robust transfer alignment method is proposed for a strapdown inertial navigation system(SDINS) with norm-bounded parametric uncertainties. The uncertainties are described by the energy bound constraint, i.e., sum quadratic constraint(SQC). It is shown that the SQC can be coverted into an indefinite quadratic cost function in the Krein space. Krein space Kalman filter is designed by modifying the measurement matrix and the variance of measurement noises in the conventional Kalman filter. Since the proposed Krein space Kalman filter has the same recursive structure as a conventional Kalman filter, the proposed filter can easily be designed. The simulation results show that the proposed filter achieves robustness against measurement time delay and high dynamic environment of the vehicle.