• 제목/요약/키워드: Perturbation matrix

검색결과 119건 처리시간 0.027초

고해상도 DOA 시스템을 위한 새로운 방법 제안 (A new mthod for high resolution DOA systems)

  • 고학임;문대철
    • 한국통신학회논문지
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    • 제21권2호
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    • pp.340-346
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    • 1996
  • In this paper, we propose a ne weighted backward covariance matrix method to enhance the resolution for direction-of-arrival(DOA) estimation. The proposed method (MEVM:modified eigenvector method) is an enhanced covariance matrix method which is an extended form of the conventional covariance matrix. We analyze the effect of using the weighted forward-baskward covariance matrix on the performance of the eigenvector method(EVM). By comparing the perturbation angle of the noise-subspace, we show that the spectral estimate obtained using the proposed method is less distorted than the spectral estimate obtained using the conventional EVM. The simulation results show that the new method is more accurate and has better resolution than the conventional EVM under the same noise conditions.

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불확실성을 고려한 횡축형 자기 베어링 시스템의 로버스트 제어에 관한 연구 (A Study on the Robust Control of Horizontal-Shaft Magnetic Bearing System Considering Perturbation)

  • 김창화;정병건;양주호
    • Journal of Advanced Marine Engineering and Technology
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    • 제34권1호
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    • pp.92-101
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    • 2010
  • 본 연구에서는 회전체를 지지하는 자기 베어링에 관하여, 2장에서는 적분형 서보계를 이용하여 횡축형 자기베어링 시스템(Horizontal-shaft Magnetic Bearing System: HMBS)에 대한 불확실성을 고려하면서 과도상태 응답개선에 대한 이론적인 고찰과 제어기설계 수식을 유도한다. 그리고 HMBS에 대해 물리 퍼래미터 변동에 대한 강인성과 외란의 영향을 저감하고 기준위치 변경에 따른 추종성을 갖도록 상태 피드백 제어기를 LMI 기법을 이용하여 설계한다. 3장에서는 설계한 제어칙을 가지고 시스템 불확실성의 변동에 대해 시간영역의 설계사양을 고려한 경우와 고려하지 않은 경우에 대하여 시뮬레이션을 행하고 실제 적용 가능성을 검토한다.

Edge perturbation on electronic properties of boron nitride nanoribbons

  • K.L. Wong;K.W. Lai;M.W. Chuan;Y. Wong;A. Hamzah;S. Rusli;N.E. Alias;S. Mohamed Sultan;C.S. Lim;M.L.P. Tan
    • Advances in nano research
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    • 제15권5호
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    • pp.385-399
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    • 2023
  • Hexagonal boron nitride (h-BN), commonly referred to as Boron Nitride Nanoribbons (BNNRs), is an electrical insulator characterized by high thermal stability and a wide bandgap semiconductor property. This study delves into the electronic properties of two BNNR configurations: Armchair BNNRs (ABNNRs) and Zigzag BNNRs (ZBNNRs). Utilizing the nearest-neighbour tight-binding approach and numerical methods, the electronic properties of BNNRs were simulated. A simplifying assumption, the Hamiltonian matrix is used to compute the electronic properties by considering the self-interaction energy of a unit cell and the interaction energy between the unit cells. The edge perturbation is applied to the selected atoms of ABNNRs and ZBNNRs to simulate the electronic properties changes. This simulation work is done by generating a custom script using numerical computational methods in MATLAB software. When benchmarked against a reference study, our results aligned closely in terms of band structure and bandgap energy for ABNNRs. However, variations were observed in the peak values of the continuous curves for the local density of states. This discrepancy can be attributed to the use of numerical methods in our study, in contrast to the semi-analytical approach adopted in the reference work.

Coprime Factor Reduction of Parameter Varying Controller

  • Saragih, Roberd;Widowati, Widowati
    • International Journal of Control, Automation, and Systems
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    • 제6권6호
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    • pp.836-844
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    • 2008
  • This paper presents an approach to order reduction of linear parameter varying controller for polytopic model. Feasible solutions which satisfy relevant linear matrix inequalities for constructing full-order parameter varying controller evaluated at each polytopic vertices are first found. Next, sufficient conditions are derived for the existence of a right coprime factorization of parameter varying controller. Furthermore, a singular perturbation approximation for time invariant systems is generalized to reduce full-order parameter varying controller via parameter varying right coprime factorization. This generalization is based on solutions of the parameter varying Lyapunov inequalities. The closed loop performance caused by using the reduced order controller is developed. To examine the performance of the reduced-order parameter varying controller, the proposed method is applied to reduce vibration of flexible structures having the transverse-torsional coupled vibration modes.

CONDITION NUMBERS WITH THEIR CONDITION NUMBERS FOR THE WEIGHTED MOORE-PENROSE INVERSE AND THE WEIGHTED LEAST SQUARES SOLUTION

  • Kang Wenhua;Xiang Hua
    • Journal of applied mathematics & informatics
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    • 제22권1_2호
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    • pp.95-112
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    • 2006
  • In this paper, the authors investigate the condition number with their condition numbers for weighted Moore-Penrose inverse and weighted least squares solution of min /Ax - b/M, where A is a rank-deficient complex matrix in $C^{m{\times}n} $ and b a vector of length m in $C^m$, x a vector of length n in $C^n$. For the normwise condition number, the sensitivity of the relative condition number itself is studied, the componentwise perturbation is also investigated.

Stability Analysis and Control of Nonlinear Behavior in V2 Switching Buck Converter

  • Hu, Wei;Zhang, Fangying;Long, Xiaoli;Chen, Xinbing;Deng, Wenting
    • Journal of Power Electronics
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    • 제14권6호
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    • pp.1208-1216
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    • 2014
  • Mismatch between switching frequency and circuit parameters often occurs in industrial applications, which would lead to instability phenomena. The bifurcation behavior of $V^2$ controlled buck converter is investigated as the pulse width modulation period is varied. Nonlinear behavior is analyzed based on the monodromy matrix of the system. We observed that the stable period-1 orbit was first transformed to the period-2 bifurcation, which subsequently changed to chaos. The mechanism of the series of period-2 bifurcations shows that the characteristic eigenvalue of the monodromy matrix passes through the unit circle along the negative real axis. Resonant parametric perturbation technique has been applied to prevent the onset of instability. Meanwhile, the extended stability region of the converter is obtained. Simulation and experimental prototypes are built, and the corresponding results verify the theoretical analysis.

일반화된 고유치 문제를 이용한 시변 섭동의 안정 범위 (A Stability Region of Time-varying Perturbations by Using Generalized Eigenvalue Problem)

  • 이달호;한형석
    • 제어로봇시스템학회논문지
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    • 제11권11호
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    • pp.901-906
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    • 2005
  • The stability robustness problem of continuous linear systems with nominal and delayed time-varying perturbations is considered. In the previous results, the entire bound was derived only for the overall perturbations without separation of the perturbations. In this paper, the sufficient condition for stability of the system with two perturbations, which are nominal and delayed, is expressed as linear matrix inequalities(LMIs). The corresponding stability bounds fer those two perturbations are determined by LMI(Linear Matrix Inequality)-based generalized eigenvalue problem. Numerical examples are given to compare with the previous results and show the effectiveness of the proposed.

Lyapunov 방정식을 이용한 불확실한 선형 시스템의 안정한 섭동 유계 해석 (The Interpretation Stability Uncertain Bound for the Uncertain Linear Systems via Lyapunov Equations)

  • 조도현;이상훈;이종용
    • 전자공학회논문지 IE
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    • 제44권4호
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    • pp.26-29
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    • 2007
  • 본 논문에서는 섭동 시스템 행렬을 가지는 선형 시스템에 대하여 Lyapunov 방정식과 함수를 고려하여 섭동 유계를 유도한다. 그리고 Lyapunov 함수의 도함수가 음의 정의로 보장되는 가장 큰 섭동 구간을 허락하는 Lyapunov 함수의 선택에 대하여 고려한다. 행렬 계수를 가지는 행렬 리카티 방정식의 해 존재에 대하여 살펴보며, 예를 통하여 검증한다.

Damage detection technique for irregular continuum structures using wavelet transform and fuzzy inference system optimized by particle swarm optimization

  • Hamidian, Davood;Salajegheh, Eysa;Salajegheh, Javad
    • Structural Engineering and Mechanics
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    • 제67권5호
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    • pp.457-464
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    • 2018
  • This paper presents a method for detecting damage in irregular 2D and 3D continuum structures based on combination of wavelet transform (WT) with fuzzy inference system (FIS) and particle swarm optimization (PSO). Many damage detection methods study regular structures. This method studies irregular structures and doesn't need response of healthy structures. First the damaged structure is analyzed with finite element methods, and damage response is obtained at the finite element points that have irregular distance, secondly the FIS, which is optimized by PSO is used to obtain responses at points, having equal distance by response at those points that previously obtained by the finite element methods. Then a 2D (for 2D continuum structures) or a 3D (for 3D continuum structures) matrix is performed by equal distance point response. Thirdly, by applying 2D or 3D wavelet transform on 2D or 3D matrix that previously obtained by FIS detail matrix coefficient of WT is obtained. It is shown that detail matrix coefficient can determine the damage zone of the structure by perturbation in the damaged area. In order to illustrate the capability of proposed method some examples are considered.

채널 역변환 매트릭스의 가장 큰 싱귤러 값 영향을 줄이는 다중 사용자 프리코딩 (Power Efficient Precoding by Reducing the Effect of the Largest Singular Value of channel Inverse Matrix)

  • 노세용;양현욱;정정화
    • 디지털산업정보학회논문지
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    • 제8권4호
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    • pp.115-120
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    • 2012
  • In multi-user multi-input multi-output (MU-MIMO) system, zero forcing beamforming (ZFB) is regarded as a realistic solution for transmitting scheme due to its low complexity and simple structure. However, ZFB shows a significant performance degradation when channel matrix has large condition number. In this case, the largest singular value of the channel inversion matrix has a dominant effect on transmit power. In this paper, we propose a perturbation method for reducing an effect of the dominant singular value. In the proposed algorithm, channel inverse matrix is first decomposed by SVD for the transmit signal to be expressed as a combination of singular vectors. Then, the transmit signal is perturbed to reduce the coefficient of the singular vector corresponding to the largest singular value. When a number of transmit antennas is 4, the simulation results of this paper shows that the proposed method shows 8dB performance enhancement at 10-3 uncoded bit error rate (BER) compared with conventional ZFB. Also, the simulation results show that the proposed method provides a comparable performance to Tomlinson-Harashima Precoding (THP) with much lower complexity.