• 제목/요약/키워드: error matrix

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스위칭 주파수 신호 주입 IPMSM 센서리스 제어를 위한 회전 행렬 기반의 새로운 위치 오차 추정 기법 (A Novel Rotor Position Error Calculation Method using a Rotation Matrix for a Switching Frequency Signal Injected Sensorless Control in IPMSM)

  • 김상일;김래영
    • 전력전자학회논문지
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    • 제20권5호
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    • pp.402-409
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    • 2015
  • This paper proposes a novel rotor position error calculation method for high-frequency signal-injected sensorless control. The rotor position error using the conventional modulation method can be only measured up to ${\pm}45^{\circ}$. In addition, when the rotor position estimation error is not sufficiently small, the small angle approximation in no longer valid. To overcome these problems, this study introduces a new rotor position error calculation method using the rotating matrix. In this study, the position error measurement range of the proposed method is extended from ${\pm}45^{\circ}$ to ${\pm}90^{\circ}$. The linearity between the real rotor position error and the estimated error is maintained by nearly $90^{\circ}$. These features of the proposed method improve the performance of the sensorless control. The validity of the proposed method is verified by simulations and experiments.

A Two-Step Screening Algorithm to Solve Linear Error Equations for Blind Identification of Block Codes Based on Binary Galois Field

  • Liu, Qian;Zhang, Hao;Yu, Peidong;Wang, Gang;Qiu, Zhaoyang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제15권9호
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    • pp.3458-3481
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    • 2021
  • Existing methods for blind identification of linear block codes without a candidate set are mainly built on the Gauss elimination process. However, the fault tolerance will fall short when the intercepted bit error rate (BER) is too high. To address this issue, we apply the reverse algebra approach and propose a novel "two-step-screening" algorithm by solving the linear error equations on the binary Galois field, or GF(2). In the first step, a recursive matrix partition is implemented to solve the system linear error equations where the coefficient matrix is constructed by the full codewords which come from the intercepted noisy bitstream. This process is repeated to derive all those possible parity-checks. In the second step, a check matrix constructed by the intercepted codewords is applied to find the correct parity-checks out of all possible parity-checks solutions. This novel "two-step-screening" algorithm can be used in different codes like Hamming codes, BCH codes, LDPC codes, and quasi-cyclic LDPC codes. The simulation results have shown that it can highly improve the fault tolerance ability compared to the existing Gauss elimination process-based algorithms.

LMI를 이용한 Well-Conditioned 관측기 설계 (Well-Conditioned Observer Design via LMI)

  • 허건수;정종철
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2003년도 춘계학술대회 논문집
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    • pp.21-26
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    • 2003
  • The well-conditioned observer in a stochastic system is designed so that the observer is less sensitive to the ill-conditioning factors in transient and steady-state observer performance. These factors include not only deterministic issues such as unknown initial estimation error, round-off error, modeling error and sensing bias, but also stochastic issues such as disturbance and sensor noise. In deterministic perspectives, a small value in the L$_2$ norm condition number of the observer eigenvector matrix guarantees robust estimation performance to the deterministic issues and its upper bound can be minimized by reducing the observer gain and increasing the decay rate. Both deterministic and stochastic issues are considered as a weighted sum with a LMI (Linear Matrix Inequality) formulation. The gain in the well-conditioned observer is optimally chosen by the optimization technique. Simulation examples are given to evaluate the estimation performance of the proposed observer.

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Well-Conditioned 관측기 설계 - A Linear Matrix Inequality Approach - (Design of the Well-Conditioned Observer - A Linear Matrix Inequality Approach -)

  • 정종철;허건수
    • 대한기계학회논문집A
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    • 제28권5호
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    • pp.503-510
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    • 2004
  • In this paper, the well-conditioned observer for a stochastic system is designed so that the observer is less sensitive to the ill-conditioning factors in transient and steady-state observer performance. These factors include not only deterministic uncertainties such as unknown initial estimation error, round-off error, modeling error and sensing bias, but also stochastic uncertainties such as disturbance and sensor noise. In deterministic perspectives, a small value in the L$_{2}$ norm condition number of the observer eigenvector matrix guarantees robust estimation performance to the deterministic uncertainties. In stochastic viewpoints, the estimation variance represents the robustness to the stochastic uncertainties and its upper bound can be minimized by reducing the observer gain and increasing the decay rate. Both deterministic and stochastic issues are considered as a weighted sum with a LMI (Linear Matrix Inequality) formulation. The gain in the well-conditioned observer is optimally chosen by the optimization technique. Simulation examples are given to evaluate the estimation performance of the proposed observer.

다축 힘센서에서 힘감지 오차의 전파 (Force-Sensing Error Propagation in Multi-Axis Force Sensors)

  • 강철구
    • 대한기계학회논문집A
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    • 제24권11호
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    • pp.2688-2695
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    • 2000
  • In multi-axis force sensor, compliance matrices representing structural behaviour of internal sensor bodies play an important role in decoupled sensing and accuracy, Recently, error propagation through compliance matrices has been studied via approximation approach. However the upper bound of measured force error has not been known. In this paper, error propagation in force sensing is analysed in a unified way when both strain measurement error and compliance matrix error exist, and the upper bound of the measured force error is derived exactly(not approximately). The analysis is examined through a numerical example.

Hybrid combiner design for downlink massive MIMO systems

  • Seo, Bangwon
    • ETRI Journal
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    • 제42권3호
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    • pp.333-340
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    • 2020
  • We consider a hybrid combiner design for downlink massive multiple-input multiple-output systems when there is residual inter-user interference and each user is equipped with a limited number of radio frequency (RF) chains (less than the number of receive antennas). We propose a hybrid combiner that minimizes the mean-squared error (MSE) between the information symbols and the ones estimated with a constant amplitude constraint on the RF combiner. In the proposed scheme, an iterative alternating optimization method is utilized. At each iteration, one of the analog RF and digital baseband combining matrices is updated to minimize the MSE by fixing the other matrix without considering the constant amplitude constraint. Then, the other matrix is updated by changing the roles of the two matrices. Each element in the RF combining matrix is obtained from the phase component of the solution matrix of the optimization problem for the RF combining matrix. Simulation results show that the proposed scheme performs better than conventional matrix-decomposition schemes.

기준물을 이용한 NC 공작기계의 오차규명 및 보상제어 (Error Identification and Compensation for NC Machine Tools Using the Reference Artifact)

  • 정성종
    • 한국생산제조학회지
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    • 제9권2호
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    • pp.102-111
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    • 2000
  • Methodology of volumetric error identification and compensation is presented to improve the accuracy of NC machine tools by using a reference artifact and a touch trigger probe. Homogeneous transformation matrix and kinematic chain are used for modeling the geo-metric and thermal errors of a three-axis vertical machining center. The reference artifact is designed and fabricated to identify the model parameters by machine tool metrology. Parameters in the error model are able to be identified and updated by direct measurement of the reference artifact on the machine tool under the actual conditions which include the thermal interactions of error sources. A volumetric error compensation system based on IBM/PC is linked with a FANUC CNC controller to compensate for the identified volumetric error in machining workspace.

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On the Error Bound of the Approximate Solution of a Nonclassically Damped Linear System under Periodic Excitations

  • Hwang, Jai-Hyuk
    • The Journal of the Acoustical Society of Korea
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    • 제15권4E호
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    • pp.45-52
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    • 1996
  • One common procedure in the approximate solution of a nonclassically damped linear system is to neglect the off-diagonal elements of the normalized damping matrix. A tight error bound, which can be computed with relative ease, is given for this method of solution. The role that modal coupling plays in the control of error is clarified. If the normalized damping matrix is strongly diagonally dominant, it is shown that adequate frequency separation is not necessary to ensure small errors.

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Unitary 변환을 이용한 Matrix Pencil 방법 (Matrix Pencil Method using Unitary Transform)

  • 고진환;주위위;김태곤
    • 대한전자공학회논문지SP
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    • 제44권2호
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    • pp.102-107
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    • 2007
  • 기존의 Matrix pencil 방식은 하나의 스냅샷으로 프로세싱 하기 때문에 신호의 다중경로가 존재하는 경우이거나 데이터 길이가 짧은 경우, 또는 환경이 nonstationary한 환경에서 DOA 추정에 적합한 방법이다. 그러나 array의 수가 많아지는 경우에는 복소수 계산으로 인하여 계산시간이 상당히 늘어나게 된다. 본 논문에서는 Matrix Pencil 방법의 계산량을 줄이기 위하여 unitary 변환을 이용한 Matrix Pencil방법을 제안 하였다. Unitary 변환이 Matrix Pencil에 성공적으로 적용되었으며, 컴퓨터 실험결과는 SNR에 따른 error을이 일치함을 보여 준다.

기준물을 이용한 NC 공작기계의 체적오차 규명 (Volumetric Error Identification for NC Machine Tools Using the Reference Artifact)

  • 김경돈;정성종
    • 대한기계학회논문집A
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    • 제24권12호
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    • pp.2899-2908
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    • 2000
  • Methodology of volumetric error identification is presented to improve the accuracy of NC machine tools by using a reference artifact and a touch trigger probe. Homogeneous transformation matrix and kinematic chain are used for modeling the geometric and thermal errors of a three-axis vertical machining center. The reference artifact is designed and fabricated to identify the model parameters by machine tool metrology. Parameters in the error model are able to be identified and updated by direct measurement of the reference artifact on the machine tool under the actual conditions which include the thermal interactions of error sources. The proposed method can speed up and simplify volumetric error identification processes.