• Title/Summary/Keyword: Weighted least squares method

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Frequency-Domain RLS Algorithm Based on the Block Processing Technique (블록 프로세싱 기법을 이용한 주파수 영역에서의 회귀 최소 자승 알고리듬)

  • 박부견;김동규;박원석
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.240-240
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    • 2000
  • This paper presents two algorithms based on the concept of the frequency domain adaptive filter(FDAF). First the frequency domain recursive least squares(FRLS) algorithm with the overlap-save filtering technique is introduced. This minimizes the sum of exponentially weighted square errors in the frequency domain. To eliminate discrepancies between the linear convolution and the circular convolution, the overlap-save method is utilized. Second, the sliding method of data blocks is studied Co overcome processing delays and complexity roads of the FRLS algorithm. The size of the extended data block is twice as long as the filter tap length. It is possible to slide the data block variously by the adjustable hopping index. By selecting the hopping index appropriately, we can take a trade-off between the convergence rate and the computational complexity. When the input signal is highly correlated and the length of the target FIR filter is huge, the FRLS algorithm based on the block processing technique has good performances in the convergence rate and the computational complexity.

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An Artificial Pancreas Using the Pole Assignment Self-Tuning Algorithm (PASTR을 이용한 인공췌장의 연구)

  • 김영철;우응제;박광석;민병구;양흥석
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.34 no.7
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    • pp.257-266
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    • 1985
  • A new method for the artificial beta cell which can be used to control the hyperglycemia in diabetic patients was represented. The relationship between the insulin infusion rate and the blood glucose concentration was described by the second order ARMA model, and the time varying parameters were identified by exponentially weighted least squares estimator. The design of controller was based on the pole assignment self tuning altorithm with discrete blood sampling and the constraints of input and output responsse rate were considered. The results of animal experiments show that this method may be a fruitful approach for regulating the blood glucose level. We expect that this device can be used as both therapeutic and research tools providing that its stability and reliability are improved a little more.

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해석적 사진측정에 있어서 경중률을 고려한 표정해석에 관한 연구

  • 안철호;유복모;염재홍
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.1 no.2
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    • pp.16-22
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    • 1983
  • The method of least squares is an adequate method of adjustment in various fields of engineering where redundant observations are necessary to obtain accurate values. The Consideration of weight of each Observation can improve the accuracy if the reliabilities of observations vary. The strip coordinates were weighted as inversely proportionate to the rotations $\kappa, \varphi, \omega$ which occur in the computation of model coordinates. The resulting errors in absolute coordinates were compared with the errors unweighted case to investigate the influence of orientation elements on absolute coordinates.

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Adaptive Control of End Milling Machine to Improve Machining Straightness (직선도 개선을 위한 엔드밀링머시인 의 적응제어)

  • 김종선;정성종;이종원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.5
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    • pp.590-597
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    • 1985
  • A recursive geometric adaptive control method to compensate for machining straightness error in the finished surface due to tool deflection and guideway error generated by end milling process is developed. The relationship between the tool deflection and the feedrate is modeled by a modified Taylor's tool life equation. Without a priori knowledge on the variations off cutting parameters, time varying parameters are then estimated by an exponentially windowed recursive least squares method with only post-process measurements of the straightness error. The location error is controlled by shifting the milling bed in the direction perpendicular to the finished surface and adding a certain amount of feedrate with respect to the tool deflection model before cutting. The waviness error is compensated by adjusting the feedrate during machining. Experimental results show that location error is controlled within a range of fixturing error of the bed on the guideway and that about 60% reduction in the waviness error can be achieved within a few steps of parameter adaption under wide operating ranges of cutting conditions even if the parameters do not converge to fixed values.

Analysis of the Effect of Urban Characteristics on the Number of COVID-19 Confirmed Patients (도시특성이 코로나19 확진자 수에 미치는 영향 분석)

  • Oh, Hoo;Bae, Min Ki
    • Journal of the Korean Society of Safety
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    • v.37 no.4
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    • pp.80-91
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    • 2022
  • The purpose of this study is to contribute to strengthening the response of local governments to the emergence of new infectious diseases by identifying the urban characteristics affecting their spread. To this end, the urban characteristics influencing the spread of infectious diseases were identified from previous studies. Moreover, the variations in the impact of urban characteristics that affected the number of confirmed COVID-19 patients was spatially analyzed using geographically weighted regression (GWR). The analysis indicated that the explanatory power of the GWR was approximately 12.4% higher than that of the ordinary least squares method. Moreover, the explanatory power of the model in the northern regions, such as Seoul, Gyeonggi, and Gangwon, was particularly high, indicating that the urban characteristics affecting the spread of COVID-19 vary by region. The results of this study can be used as a basis for suggesting the formulation of customized policies reflecting the characteristics of each local government rather than a uniform spread reduction policy.

Identification of guideway errors in the end milling machine using geometric adaptive control algorithm (기하학적 적응제어에 의한 엔드밀링머시인의 안내면 오차 규명)

  • 정성종;이종원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.1
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    • pp.163-172
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    • 1988
  • An off-line Geometric Adaptive Control Scheme is applied to the milling machine to identify its guideway errors. In the milling process, the workpiece fixed on the bed travels along the guideway while the tool and spindle system is fixed onto the machine. The scheme is based on the exponential smoothing of post-process measurements of relative machining errors due to the tool, workpiece and bed deflections. The guideway error identification system consists of a gap sensor, a, not necessarily accurate, straightedge, and the numerical control unit. Without a priori knowledge of the variations of the cutting parameters, the time-varying parameters are also estimated by an exponentially weighted recursive least squares method. Experimental results show that the guideway error is well identified within the range of RMS values of geometric error changes between machining passes disregarding the machining conditions.

A GPS Positioning and Receiver Autonomous Integrity Monitoring Algorithm Considering SA Fade Away (고의잡음의 제거를 고려한 GPS항법 및 무결성 검정알고리즘)

  • Choi, Jae-Youl;Park, Soon;Park, Chan-Sik
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.5
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    • pp.425-433
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    • 2002
  • After the removal of SA (Selective Availability), horizontal accuracy of 25m(2dRMS) is easily obtained using GPS (Global Positioning System). In this paper, the error characteristics without SA are analyzed and a navigation algorithm concerns this error characteristics is proposed to further improve the accuracy. The proposed method utilizes the relationship between elevation angle and errors that are remained after ionospheric and troposheric delay compensation. The relationship is derived from real measurements and used as a weighting matrix of weighted least squares estimator. Furthermore, a RAIM (Receiver Autonomous Integrity Monitoring) technique is included to remove abnormal measurements affected by multi-path or low SNR (Signal-to-Noise Ratio). It is shown that using the proposed method, more than 4 times accurate result, which is comparable with DGPS (Differential GPS), can be obtained from experiments with real data. Besides accuracy and reliability, the proposed method reduces large jumps in position and maintains better performance than a method using mask angle to completely remove satellites below this mask angle. Thus it is expected that the proposed method can be efficiently applied to land navigation where some satellites are blocked by building or forest.

A Substation-Oriented Approach to Optimal Phasor Measurement Units Placement

  • Bao, Wei;Guo, Rui-Peng;Han, Zhen-Xiang;Chen, Li-Yue;Lu, Min
    • Journal of Electrical Engineering and Technology
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    • v.10 no.1
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    • pp.18-29
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    • 2015
  • State Estimation (SE) is the basis of a variety of advanced applications used in most modern power systems. An SE problem formed with enough phasor measurement units (PMUs) data is simply a linear weighted least squares problem requiring no iterations. Thus, designing a minimum-cost placement of PMUs that guarantees observability of a power system becomes a worthy challenge. This paper proposes an equivalent integer linear programming method for substation-oriented optimal PMU placement (SOOPP). The proposed method uses an exhaustive search to determine a globally optimal solution representing the best PMU placement for that particular power system. To obtain a more comprehensive model, contingencies and the limitation of the number of PMU measurement channels are considered and embodied in the model as changes to the original constraints and as additional constraints. The proposed method is examined for applicability using the IEEE 14-bus, 118-bus and 300-bus test systems. The comparison between SOOPP results and results obtained by other methods reveals the excellence of SOOPP. Furthermore, practical large-scale power systems are also successfully analyzed using SOOPP.

Application of universal kriging for modeling a groundwater level distribution 2. Restricted maximum likelihood method (지하수위 분포 모델링을 위한 UNIVERSAL KRIGING의 응용 2. 제한적 최대 우도법)

  • 정상용
    • The Journal of Engineering Geology
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    • v.3 no.1
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    • pp.51-61
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    • 1993
  • Restricted maximum likelihood(RML) method was used to determine the parameters of generalized covariance, and universal krigig with RML was applied to estimate a groundwater level distribution of nonstationarv random function. Universal kriging with RML was compared to IRF-k with weighted least squares method for the comparison of their accuracies. Cross validation shows that two methods have nearly the same ability for the estimation of groundwater levels. Scattergram of estimates versus true values and contour maps of groundwater levels have nearly the same results. The reason why two methods produced the same results is thought to be the non-Gaussian distribution and the snaall number of sample data.

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Online analysis of iron ore slurry using PGNAA technology with artificial neural network

  • Haolong Huang;Pingkun Cai;Xuwen Liang;Wenbao Jia
    • Nuclear Engineering and Technology
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    • v.56 no.7
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    • pp.2835-2841
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    • 2024
  • Real-time analysis of metallic mineral grade and slurry concentration is significant for improving flotation efficiency and product quality. This study proposes an online detection method of ore slurry combining the Prompt Gamma Neutron Activation Analysis (PGNAA) technology and artificial neural network (ANN), which can provide mineral information rapidly and accurately. Firstly, a PGNAA analyzer based on a D-T neutron generator and a BGO detector was used to obtain a gamma-ray spectrum dataset of ore slurry samples, which was used to construct and optimize the ANN model for adaptive analysis. The evaluation metrics calculated by leave-one-out cross-validation indicated that, compared with the weighted library least squares (WLLS) approach, ANN obtained more precise and stable results, with mean absolute percentage errors of 4.66% and 2.80% for Fe grade and slurry concentration, respectively, and the highest average standard deviation of only 0.0119. Meanwhile, the analytical errors of the samples most affected by matrix effects was reduced to 0.61 times and 0.56 times of the WLLS method, respectively.