• 제목/요약/키워드: Recursive least squares

검색결과 174건 처리시간 0.026초

재순환 버퍼 RLS 알고리즘에서 가중치 갱신을 이용한 개선된 수렴 특성에 관한 연구 (A study on the Improved Convergence Characteristic over Weight Updating of Recycling Buffer RLS Algorithm)

  • 나상동
    • 한국통신학회논문지
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    • 제25권5B호
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    • pp.830-841
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    • 2000
  • We extend the sue of the method of least square to develop a recursive algorithm for the design of adaptive transversal filters such that, given the least-square estimate of this vector of the filter at iteration n-1, we may compute the updated estimate of this vector at iteration a upon the arrival of new data. We begin the development of the RLS algorithm by reviewing some basic relations that pertain to the method of least squares. Then, by exploiting a relation in matrix algebra known as the matrix inversion lemma, we develop the RLS algorithm. An important feature of the RLS algorithm is that it utilizes information contained in the input data, extending back to the instant of time when the algorithm is initiated. In this paper, we propose new tap weight updated RLS algorithm in adaptive transversal filter with data-recycling buffer structure. We prove that convergence speed of learning curve of RLS algorithm with data-recycling buffer is faster than it of exiting RL algorithm to mean square error versus iteration number. Also the resulting rate of convergence is typically an order of magnitude faster than the simple LMS algorithm. We show that the number of desired sample is portion to increase to converge the specified value from the three dimension simulation result of mean square error according to the degree of channel amplitude distortion and data-recycle buffer number. This improvement of convergence character in performance, is achieved at the (B+1)times of convergence speed of mean square error increase in data recycle buffer number with new proposed RLS algorithm.

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DESIGN OF A PWR POWER CONTROLLER USING MODEL PREDICTIVE CONTROL OPTIMIZED BY A GENETIC ALGORITHM

  • Na, Man-Gyun;Hwang, In-Joon
    • Nuclear Engineering and Technology
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    • 제38권1호
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    • pp.81-92
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    • 2006
  • In this study, the core dynamics of a PWR reactor is identified online by a recursive least-squares method. Based on the identified reactor model consisting of the control rod position and the core average coolant temperature, the future average coolant temperature is predicted. A model predictive control method is applied to designing an automatic controller for the thermal power control of PWR reactors. The basic concept of the model predictive control is to solve an optimization problem for a finite future at current time and to implement as the current control input only the first optimal control input among the solutions of the finite time steps. At the next time step, this procedure for solving the optimization problem is repeated. The objectives of the proposed model predictive controller are to minimize both the difference between the predicted core coolant temperature and the desired temperature, as well as minimizing the variation of the control rod positions. In addition, the objectives are subject to the maximum and minimum control rod positions as well as the maximum control rod speed. Therefore, a genetic algorithm that is appropriate for the accomplishment of multiple objectives is utilized in order to optimize the model predictive controller. A three-dimensional nuclear reactor analysis code, MASTER that was developed by the Korea Atomic Energy Research Institute (KAERI) , is used to verify the proposed controller for a nuclear reactor. From the results of a numerical simulation that was carried out in order to verify the performance of the proposed controller with a $5\%/min$ ramp increase or decrease of a desired load and a $10\%$ step increase or decrease (which were design requirements), it was found that the nuclear power level controlled by the proposed controller could track the desired power level very well.

유전자 알고리즘에 의해 최적화된 모델예측제어를 이용한 PWR 출력제어기 (A Pressurized Water Reactor Power Controller Using Model Predictive Control Optimized by a Genetic Algorithm)

  • 나만균;황인준
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 학술대회 논문집 정보 및 제어부문
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    • pp.104-106
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    • 2005
  • In this work, a PWR reactor core dynamics is identified online by a recursive least squares method. Based on this identified reactor model consisting of the control rod position and the core average coolant temperature, the future average coolant temperature is predicted. A model predictive control method is applied to design an automatic controller for thermal power control in PWRs. The basic concept of the model predictive control is to solve an optimization problem for a finite future at current time and to implement as the current control input only the first optimal control input among the solutions of the finite time steps. At the next time step, the procedure to solve the optimization problem is then repeated. The objectives of the proposed model predictive controller are to minimize both the difference between the predicted core coolant temperature and the desired one, and the variation of the control rod positions. Also, the objectives are subject to maximum and minimum control rod positions and maximum control rod speed. Therefore, the genetic algorithm that is appropriate to accomplish multiple objectives is used to optimize the model predictive controller. A 3-dimensional nuclear reactor analysis code, MASTER that was developed by Korea Atomic Energy Research Institute (KAERI), is used to verify the proposed controller for a nuclear reactor. From results of numerical simulation to check the performance of the proposed controller at the 5%/min ramp increase or decrease of a desired load and its 10% step increase or decrease which are design requirements, it was found that the nuclear power level controlled by the proposed controller could track the desired power level very well.

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가변 망각인자를 사용한 커널 RLS 알고리즘 (Kernel RLS Algorithm Using Variable Forgetting Factor)

  • 임준석;편용국
    • 한국통신학회논문지
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    • 제40권9호
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    • pp.1793-1801
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    • 2015
  • 최근 KRLS-T라고 하는 커널 기반의 RLS 알고리즘이 제안되었다. 이 알고리즘은 비정재 환경에서 베이지안 이론에 기반한 망각 기저를 사용하고 있다. 이런 망각 기저의 핵심은 고정 망각인자를 사용하는 것이다. 그러나 실제 환경에서는 시스템의 비정재 정도까지도 시변인 경우가 많다. 이 경우 고정 망각인자로는 시스템의 바른 추정이 불가하다. 본 논문에서는 가변 망각인자를 사용한 KRLS-T를 제안한다. 그리고 모의 실험에서 가변 망각인자를 가진 KRLS-T가 시변 시스템의 추정에 더 효과적임을 보인다.

Design of the Magnetic Field Sensing System for Downlink Signal Reception and Interference Cancelling for Through-the-Earth Communication

  • Zhao, Peng;Jiang, Yu-zhong;Zhang, Shu-xia;Ying, Wen-wei
    • Journal of Magnetics
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    • 제21권3호
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    • pp.330-339
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    • 2016
  • A magnetic field sensing system with a single primary sensor and multiple reference sensors deployed locally and orthogonally, was proposed for downlink signal reception and interference cancelling for Through-the-Earth Communication (TEC). This paper mathematically analyzes a design optimization process for a search coil magnetometer (SCM), and applies that process to minimize the bandwidth of the primary SCM for TEC signal reception and the volume of reference SCMs for multiple distributions. The primary SCM achieves a 3-dB bandwidth of 7 Hz, a sensitivity threshold of 120 fT/${\surd}$Hz, and a volume of $2.32{\times}10^{-4}m^3$. The entire sensing system volume is as small as $10^{-2}m^3$. Experiments with interference from industrial frequency harmonics demonstrated an average of 36 dB and 18 dB improvements in signal-to-interference ratio and signal-to-interference plus noise ratio, respectively, using multichannel recursive-least-squares algorithm. Thus, the proposed sensing system can reduce the interference effectively and allows reliable downlink signal reception.

A New Calibration Method Based on the Recursive Linear Regression with Variables Selection

  • Park, Kwang-Su;Jun, Chi-Hyuck
    • 한국근적외분광분석학회:학술대회논문집
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    • 한국근적외분광분석학회 2001년도 NIR-2001
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    • pp.1241-1241
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    • 2001
  • We propose a new calibration method, which uses the linearization method for spectral responses and the repetitive adoptions of the linearization weight matrices to construct a frature. Weight matrices are estimated through multiple linear regression (or principal component regression or partial least squares) with forward variable selection. The proposed method is applied to three data sets. The first is FTIR spectral data set for FeO content from sinter process and the second is NIR spectra from trans-alkylation process having two constituent variables. The third is NIR spectra of crude oil with three physical property variables. To see the calibration performance, we compare the new method with the PLS. It is found that the new method gives a little better performance than the PLS and the calibration result is stable in spite of the collinearity among each selected spectral responses. Furthermore, doing the repetitive adoptions of linearization matrices in the proposed methods, uninformative variables are disregarded. That is, the new methods include the effect of variables subset selection, simultaneously.

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무선 센서네트워크에서의 시각동기를 위한 실시간 클럭 스큐 추정 (Realtime Clock Skew Estimator for Time Synchronization in Wireless Sensor Networks of WUSB and WBAN)

  • 허경
    • 한국멀티미디어학회논문지
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    • 제15권11호
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    • pp.1391-1398
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    • 2012
  • 무선 센서네트워크에서의 시각동기는 Wireless USB, WBAN 등의 MAC 계층에서부터 응용 계층에 이르기까지 거의 모든 계층에서 다양한 목적을 위해 매우 중요한 기술이다. 본 논문에서는 무선 센서네트워크에서의 시각동기를 위한 실시간 클럭 스큐 추정 방법을 제시한다. 재귀적 최소제곱법을 통해 오프셋 보정 정보들을 얻을 때마다 클럭 스큐가 실시간적으로 추정 및 갱신되며, 아울러 스큐 추정을 위해 각 센서노드에 저장해야할 정보를 최소화한다. 제안한 클럭 스큐 추정 방법은 기존의 클럭 오프셋 보정 방법과 쉽게 통합될 수 있으며, 이 경우 보다 정확하고 효율적인 시각동기화가 가능해진다. 시뮬레이션 및 실험 결과를 통해 제안한 클럭 스큐 추정 방법을 통한 시각동기 정확도의 향상을 보인다.

다이아몬드 터닝 머시인의 극초정밀 절삭공정에서의 시스템 규명 및 제어 (System identification and admittance model-based nanodynamic control of ultra-precision cutting process)

  • 정상화;김상석;오용훈
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.1352-1355
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    • 1996
  • The control of diamond turning is usually achieved through a laser-interferometer feedback of slide position. If the tool post is rigid and the material removal process is relatively static, then such a non-collocated position feedback control scheme may surface. However, as the accuracy requirement gets tighter and desired surface contours become more complex, the need for a direct tool-tip sensing becomes inevitable. The physical constraints of the machining process prohibit any reasonable implementation of a tool-tip motion measurement. It is proposed that the measured force normal to the face of the workpiece can be filtered through an appropriate admittance transfer function to result in the estimated depth of cut. This can be compared to the desired depth of cut to generate the adjustment control action in addition to position feedback control. In this work, the design methodology on the admittance model-based control with a conventional controller is presented. The recursive least-squares algorithm with forgetting factor is proposed to identify the parameters and update the cutting process in real time. The normal cutting forces are measured to identify the cutting dynamics in the real diamond turning process using the precision dynamometer. Based on the parameter estimation of cutting dynamics and the admittance model-based nanodynamic control scheme, simulation results are shown.

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계통변화를 고려한 자율 적응형 과전류 계전기 (Autonomous Adaptive Digital Over Current Relay)

  • 윤준석;이승재;최면송;강상희;김상태;임성일;오성민;김지균;박성준
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2002년도 하계학술대회 논문집 A
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    • pp.6-8
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    • 2002
  • In this paper present Autonomous Adaptive Digital Over Current Relay which acts autonomous setting using voltage and current measured by relay in the change of power systems. Automation of relay setting is required for distribution automation although manual relay setting is used at present. This paper presents Autonomous Relay Setting which knows change of the power system and acquires setting element using the Recursive Least Squares. Relay setting is very difficult work. But proposed relay is expected to decrease burden of relay setting using acquired information of power system change and autonomous setting. Also fast protective ability is expected according to change of power system.

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비선형 구동기의 변수추정을 통한 학습입력성형제어기 (Learning Input Shaping Control with Parameter Estimation for Nonlinear Actuators)

  • 김득현;성윤경;장완식
    • 대한기계학회논문집A
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    • 제35권11호
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    • pp.1423-1428
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    • 2011
  • 본 논문은 비선형 구동기를 포함한 유연시스템의 잔류변위저감을 위한 학습입력성형제어기를 제시한다. 제시되는 제어기는 비선형 구동기에 대한 입력성형제어기, 반복최소자승법 및 설계변수 updating rule 을 통합하여 개발된다. 비선형 구동기에 대응한 입력성형제어기 설계변수의 updating mechanism 을 개선하기 위한 잔류변위 측정함수가 제시된다. 제시된 제어방법을 pendulum system 에 적용하여 변수추정의 수렴성과 변위저감제어성능의 평가를 통해 수치해석적으로 실용성이 검증된다.