• Title/Summary/Keyword: FXLMS(filtered-x least mean square)

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Disturbance Compensation Control by FXLMS Algorithm (FXLMS 알고리즘을 이용한 외란보상 제어기 설계)

  • 강민식
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.11
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    • pp.100-107
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    • 2003
  • This paper represents a disturbance compensation control for attenuating disturbance responses. In the consideration of the requirements on the model accuracy in the model based compensator designs, an experimental feed forward compensator design based on adaptive estimation by Filtered-x least mean square (FXLMS) algorithm is proposed. The convergence properties of the FXLMS algorithm are discussed and its conditions for the asymptotic convergence are derived theoretically. The effectiveness of the proposed method and the theoretical proof are verified by computer simulation.

Geometric Analysis of Convergence of FXLMS Algorithm (FXLMS 알고리즘 수렴성의 기하학적 해석)

  • Kang Min Sig
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.1
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    • pp.40-47
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    • 2005
  • This paper concerns on Filtered-x least mean square (FXLMS) algorithm for adaptive estimation of feedforward control parameters. The conditions for convergence in ensemble mean of the FXLMS algorithm are derived and the directional convergence properties are discussed from a new geometric vector analysis. The convergence and its directionality are verified along with some computer simulations.

A Nonlinear Filtered-X LMS Algorithm for the Nonlinear Compensation of the Secondary Path in Active Noise Control (능동 소음 제어 시스템의 2차 경로 비선형 특성을 보상하기 위한 적응 비선형 Filtered-X Least Mean Square (FX-LMS) 알고리듬)

  • Jeong, I.S.;Kim, D.H.;Nam, S.W.
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.565-567
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    • 2004
  • In active noise control (ANC) systems, the convergence behavior of the conventional Filtered-X Least Mean Square (FXLMS) algorithm may be affected by nonlinear distortions in the secondary path (e.g., in the power amplifiers, loudspeakers, transducers, etc.), which may lead to degradation of the error-reduction performance of the ANC systems. In this paper, a stable FXLMS algorithm with fast convergence is proposed to compensate for undesirable nonlinear distortions in the secondary-path of ANC systems by employing the Volterra filtering approach. In particular, the proposed approach is based on the utilization of the conventional P-th order inverse approach to nonlinearity compensation in the secondary path of ANC systems. Finally, the simulation results showed that the proposed approach yields a better convergence behavior In the nonlinear ANC systems than the conventional FXLMS.

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Disturbance Compensation Control in Active Magnetic Bearing Systems by Filtered-x LMS Algorithm (전자기베어링에서 Filtered-x LMS 알고리즘을 이용한 외란보상 제어기 설계)

  • 강민식;강윤식;이대옥
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.447-450
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    • 2003
  • This paper concerns on application of active magnetic bearing(AMB) system to levitate the elevation axis of an electro-optical sight mounted on moving vehicles. In such a system. it is desirable to retain the elevation axis within the predetermined air-gap while the vehicle is moving. A disturbance compensation control is proposed to reduce the base motion response. In the consideration of the uncertainty of the system model, a filtered-x least-mean-square(FXLMS) algorithm is used to estimate adaptively the frequency response function of the feedforward control which cancels disturbance responses. The frequency response function is fitted to an optimal feedforward control. Experimental results demonstrate that the proposed control reduces the air-gap deviation to 27.7% that by feedback control alone.

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Active Noise Control of a Closed Rectangular Cavity Using FXLMS Algorithms (FXLMS 알고리듬을 이용한 사각밀폐공간의 능동소음제어)

  • Ryu, Kyung-Wan;Hong, Chin-Suk;Shin, Chang-Joo;Jeong, Weui-Bong
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.11
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    • pp.983-990
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    • 2011
  • This paper investigates active noise control(ANC) of a rectangular cavity using single channel filtered-x least mean square(FXLMS) algorithms to globally reduce the interior noise. To obtain the global reduction of the interior noise, multichannel active control should be incorporated in general. We, however, examined firstly the optimal location of the secondary source that produces a global reduction of the interior noise field using single channel control. We then investigated the frequency characteristics of the reduction to yield the effective frequency band of the active control system. It follows that the secondary source should be located as close to the primary source as possible in order to obtain the global reduction.

Active Noise Control of Closed Rectangular Cavity using the FXLMS Algorithms (FXLMS 알고리듬을 이용한 사각밀폐공간의 능동소음제어)

  • Ryu, Kyung-Wan;Hong, Chin-Suk;Jeong, Wei-Bong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2009.04a
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    • pp.247-249
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    • 2009
  • This paper investigates active noise control(ANC) of a rectangular cavity using single channel filtered-x least mean square(FXLMS) algorithms to reduce interior noise globally. To obtain global reduction of the interior noise, multichannel active control should be incorporated in general. We, however, examined firstly the optimal location of the secondary speaker that produces a global reduction of the interior noise field. We then investigated the frequency characteristics of the reduction to yield the effective frequency band of the active control system. It follows that the secondary speaker should be located as close to the primary source as possible in order to obtain global reduction.

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Active Noise Control by Using Wavelet Packet and Comparison Experiments (웨이브렛 패킷을 이용한 능동 소음제어 및 비교실험)

  • Jang, Jae-Dong;Kim, Young-Joong;Lim, Myo-Taeg
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.6
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    • pp.547-554
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    • 2007
  • This thesis presents a kind of active noise control(ANC) algorithm for reducing noise due to engine inside a car. The proposed control algorithm is, by using WP(Wavelet Packet), a one improving the instability due to delay of noise transmission and the lack of response ability for the rapid change of noise, which are defects of the existing FXLMS(Filtered-X Least Mean Square) algorithm. The chief character of this system is a thing that faster operation than the FXLMS is implemented by inserting WP in the secondary path. In other words, WP implements parallel operation. Then, the weights of filter in the adaptive algorithm will be updated faster. In addition, because WP have so excellent a resolution, they can process very minute noise. The efficiency of this control algorithm will be demonstrated in the matlab simulation and in the actual experiments by using a Labview program and a car.

Acceleration Feedforward Control in Active Magnetic Bearing System Subject to Base Motion by Filtered-x LMS Algorithm (베이스 가진을 받는 능동자기베어링 시스템에서 Filtered-x LMS 알고리듬을 이용한 가속도 앞먹임 제어)

  • Kang, Min-Sig
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.10
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    • pp.1712-1719
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    • 2003
  • This paper concerns on application of active magnetic bearing(AMB) system to levitate the elevation axis of an electro-optical sight mounted on moving vehicles. In such a system, it is desirable to retain the elevation axis within the predetermined air-gap while the vehicle is moving. An optimal base acceleration feedforward control is proposed to reduce the base motion response. In the consideration of the uncertainty of the system model, a filtered-x least-mean-square(FXLMS) algorithm is used to estimate the frequency response function of the feedforward control which cancels base motions. The frequency response function is fitted to an optimal feedforward control. Experimental results demonstrate that the proposed control reduces the air-gap deviation to 27.7% that by feedback control alone.

Disturbance Compensation Control of An Active Magnetic Bearing System by Multiple FXLMS Algorithm - Experiments (MFXLMS 알고리즘을 이용한 전자기베어링계의 외란보상 제어기 - 실험)

  • 강민식;정종수
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.2
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    • pp.83-91
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    • 2004
  • This paper illustrates the feasibility and the effectiveness of the disturbance feedforward compensation control proposed in the previous paper. The compensator is designed experimentally by means of the Multiple Filtered-x Least Mean Square algorithm. A 2-DOF active magnetic bearing system subject to base motion is built and the compensation control is applied. The experimental results demonstrate that the compensation control reduces the air-gap responses within 10$%$ of those by the feedback control alone without increasing the control inputs.

Disturbance Compensation Control of An Active Magnetic Bearing System by Multiple FXLMS Algorithm - Theory (MFXLMS 알고리즘을 이용한 전자기배어링계의 외란 보상 제어기 - 이론)

  • 강민식;정종수
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.2
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    • pp.74-82
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    • 2004
  • In this paper, a disturbance feedforward compensator design technique is proposed for an active magnetic bearing system subject to base motion for attenuating disturbance responses. In the consideration of the requirements on the model accuracy in the model based compensator designs, an experimental feedforward compensator design based on adaptive estimation by means of the Multiple Filtered-x least mean square(MFXLMS) algorithm is proposed. The performance and the effectiveness of the proposed technique will be presented in the succeeding paper in which the proposed technique is applied to a 2-DOF active magnetic bearing system subject to base motion.