• Title/Summary/Keyword: 의사역행렬

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Reduction Method based on Sub-domain Structure using Reduced Pseudo Inverse Method (축소 의사역행렬을 이용한 영역분할 기반 축소모델 구축기법 연구)

  • Kim, Hyun-Gi;Cho, Maeng-Hyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.2
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    • pp.173-179
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    • 2009
  • Reduction scheme is remarkably useful in the case requiring the repeated calculation procedure. Recently, the efficiency of the reduction scheme has been improved by combining scheme of sub-domain method. But, when the global domain is partitioned into a few sub-domains, sub-domains without constraints can be produced. it is needed to extract the ritz vector from each sub-domain to construct the reduced system of each sub-domain. it is easy to extract the ritz vector from sub-domain with constraint. on the other hand, pseudo inverse method should be employed to extract the ritz vector from sub-domain without constraint. generally, the pseudo inverse takes a large number of computing time to obtain a reduced system of a sub-domain without boundary condition. This trouble can be overcome by the reduced pseudo inverse scheme which proposed in this study. This scheme is based on the static condensation that is not related with selection of the primary degrees of freedom. Numerical examples demonstrate that present method saves computational cost effectively. In addition, it is shown that the reduced system based on the proposed scheme predicts the accurate eigenvalues of global system.

Redundant Controls Allocation by a Modified Pseudo Inverse Redistribution Method (수정된 의사역행렬 재분배 기법을 이용한 여유 조종력 할당)

  • Jin, Jae-Hyun;Yoo, Chang-Sun;Ryu, Hyeok;Tahk, Min-Jea
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.9
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    • pp.65-71
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    • 2004
  • Redundant control surfaces arc adopted to modern aircraft designs because of high performance and fault tolerant control, so efficient redundancy management is necessary to take advantage of redundant control surfaces. This paper focuses on the control allocation scheme as one of redundancy management methods. A modified pseudo inverse redistribution method is proposed. The existing method sets all saturated controls as their limit values when a pseudo inverse is calculated. But the modified scheme sets only one saturated control as its limit value and redistributes remaining controls. It is shown that the proposed scheme is superior to the existing method by several numerical examples.

Reduction Method based on Sub-domain Structure using Reduced Pseudo Inverse Method (축소 의사역행렬과 영역분할 기반 축소모델 구축 기법 연구)

  • Kim, Hyun-Gi;Cho, Meang-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.139-145
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    • 2009
  • Reduction scheme is remarkably useful in the case requiring the repeated calculation procedure. Recently, the efficiency of the reduction scheme has been improved by combining scheme of sub-domain method. But, when the global domain is partitioned into a few sub-domains, sub-domains without constraints can be produced. it is needed to extract the ritz vector from each sub-domain to construct the reduced system of each sub-domain. it is easy to extract the ritz vector from sub-domain with constraint. on the other hand, pseudo inverse method should be employed to extract the ritz vector from sub-domain without constraint. generally, the pseudo inverse takes a large number of computing time to obtain a reduced system of a sub-domain without boundary condition. This trouble can be overcome by the reduced pseudo inverse scheme which proposed in this study. This scheme is based on the static condensation that is not related with selection of the primary degrees of freedom. Numerical examples demonstrate that present method saves computational cost effectively and predicts the accurate eigenvalues.

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An Algorithm on Optimum Weighting Design in Beamforming for Acoustic Measurement (음향측정을 위한 빔형성에서의 최적 가중상수 설계 기법)

  • Dho Kyeong-Cheol;Son Kweon;Lee Yong-Gon;Son Kyung-Sik
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.121-124
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    • 1999
  • 본 논문에서는 선형배열을 이용하여 음향을 측정하기 위한 새로운 빔형성 알고리듬을 제안한다. 제안 알고리듬은, FIR필터 설계기법에 의해 가중상수 및 원하는 빔패턴을 설정하고 이를 초기치로 사용하여 원하는 빔패턴과의 오차가 최소가 되도록 가중상수를 최적화시킨다. 주파수영역의 지향지수 균일성 유지를 위해 옥타브대역을 부대역으로 세분하고 의사역행렬에 의해 전달행렬을 정방행렬화하여 부대역별로 최적화를 수행한다.

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Implementation of Levitation Controller for Toroidally-Wound Self-Bearing BLDC Motor Using Continuously Invertible Force Model (연속적 역변환이 가능한 힘 모델을 이용한 환형권선 셀프베어링 BLDC 모터의 부상 제어기 구현)

  • Choi, Won-Yeong;Choi, Jung-Kyu;Noh, Myounggyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.7
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    • pp.899-903
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    • 2013
  • A self-bearing is an electric machine that achieves both rotational actuation and magnetic levitation using a single magnetic structure. To be able to stably levitate the rotor in a self-bearing, one needs to have an inverse of the force-current model. However, the force-current model in a self-bearing motor is typically not square. Furthermore, the elements of the matrix vary with respect to the rotational angle, resulting in singularities of the pseudo-inverse at various angles. In this paper, we propose a new force-current model that eliminates the singularities by adding a constraint in coil currents. This constraint eliminates the flux density in the stator core so that the saturation problem in the previous study is avoided. By implementing this force-current model, we are able to implement a levitation controller for a toroidally-wound self-bearing BLDC motor. The model inversion and levitation are validated experimentally.

An Algorithm on Optimum Weighting Design in Beamforming for Acoustic Measurement (음향측정을 위한 빔형성에서의 최적 가중상수 설계 기법)

  • Dho, Kyeong-Cheol;Son, Kweon;Lee, Yong-Gon;Son, Kyung-Sik
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.8
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    • pp.61-67
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    • 1999
  • This paper proposes a new beamforming algorithm for acoustic measurement by using the nested linear array. In this algorithm, the weighting is optimized by minimizing the LMS error with the initial value obtained by FIR filter design algorithm. The optimization process is applied to each sub-band, which is divided from the octave band, to produce the uniform directivity index. For the optimization pseudo inverse matrix is used for the transfer matrix. As the simulation results, it is found that the proposed algorithm can get the desired beam pattern and unform directivity index so as to be used efficiently for the acoustic measurement by using a nested linear array.

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Performance Improvement of Integrated Chassis Control with Determination of Rear Wheel Steering Angle (후륜 조향각 결정을 통한 통합 섀시 제어기의 성능 향상)

  • Yim, Seongjin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.2
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    • pp.111-119
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    • 2017
  • This paper presents a method to determine the rear steering angle in integrated chassis control with electronic stability control (ESC) and rear wheel steering (RWS). A control yaw moment needed to stabilize a vehicle should be distributed into the tire forces generated by the ESC and RWS. Weighted pseudo-inverse control allocation (WPCA) is adopted to determine the tire forces. Four methods are proposed to calculate the rear wheel steering angle. To validate the proposed methods, a simulation is performed using a vehicle simulation software package, CarSim. The simulation results show that the proposed method for determining the rear wheel steering angle improves the performance of the integrated chassis control.

Control Allocation of Reaction Wheels for Maximum Torque Generation (반작용 휠의 최대 가용 토크 분배법칙)

  • Choi, Yoon-Hyuk;Lee, Hen-Zeh;Bang, Hyo-Choong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.7
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    • pp.651-657
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    • 2008
  • A new approach for maximizing torque capability of low efficient reaction wheel assembly is addressed in this paper. At first, to find out a solution in constrainted field, weighted pseudo-inverse and momentum minimized allocation are suggested instead of a general control allocation called pseudo-inverse. The second method is a structural manner to enlarge torque capability of specific axis by changing installed skew angle of wheels. Two proposed methods are applied to large angle maneuvers of satellite. Improvement of control performance and feasibility for applying to commercial satellite attitude control are demonstrated by numeric simulations.

Magnetic Beamforming for Optimum Efficiency Wireless Power Transfer (최적 효율 무선 전력 전송을 위한 Magnetic Beam 형성)

  • Jung, Hyung-Jon;Choy, Ick
    • The Journal of the Korea institute of electronic communication sciences
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    • v.15 no.1
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    • pp.79-84
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    • 2020
  • Wireless power transfer is more convenient than wired power transfer, but has a shorter transfer distance and lower efficiency. In addition, it is difficult to charge multiple devices simultaneously. In this paper, we propose a method of magnetic beam forming by using multiple transmitters in order to increase transfer distance and improve efficiency of wireless power transfer. To do this, the relationship between the transmitter coil current and magnetic field at the center of receiver coil is modelled, and calculate the optimal transmitter coil current using the characteristics of the pseudoinverse. Finally, the validity of the proposed method is verified by simulation.

Pseudo-inverse-filtering type decorrelating detector for asynchronous CDMA channels (비동기 CDMA 채널을 위한 의사 역행렬 형태의 역상관 검출기)

  • 맹승주;이병기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.23 no.8
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    • pp.2072-2079
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    • 1998
  • In this paper, we propose a new decorrelating detector called pseudo-inverse-filtering type decorrelating detector for asynchronous CDMA channels. We first show that the matched filtering and decorrelating operations of the existing decorrelating detectors can be replaced with the pseudo-inverse filtering operations in synchronous channels, and using this fact we show that the decorrelating detector has the largest SNR among the linear detectors that can eliminate MAI. Then we introduce asynchronous pseudo-inverse filtering type decorrelating detector by extending this result for asynchronous channels, and discuss implementation methods of the proposed decorrelating detectors. Since the proposed scheme employs a decentralized structure for updating coefficients, it has the flexibility to add/remove users. Finally we analyze the performance of the proposed decorrelating detector in terms of the bit error rate, and examine its performance improvements over the conventional detectors through computer simulations.

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