• Title/Summary/Keyword: Real root method

Search Result 150, Processing Time 0.026 seconds

Pole Placement Method to Move a Equal Poles with Jordan Block to Two Real Poles Using LQ Control and Pole's Moving-Range (LQ 제어와 근의 이동범위를 이용한 조단 블록을 갖는 중근을 두 실근으로 이동시키는 극배치 방법)

  • Park, Minho
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.19 no.2
    • /
    • pp.608-616
    • /
    • 2018
  • If a general nonlinear system is linearized by the successive multiplication of the 1st and 2nd order systems, then there are four types of poles in this linearized system: the pole of the 1st order system and the equal poles, two distinct real poles, and complex conjugate pair of poles of the 2nd order system. Linear Quadratic (LQ) control is a method of designing a control law that minimizes the quadratic performance index. It has the advantage of ensuring the stability of the system and the pole placement of the root of the system by weighted matrix adjustment. LQ control by the weighted matrix can move the position of the pole of the system arbitrarily, but it is difficult to set the weighting matrix by the trial and error method. This problem can be solved using the characteristic equations of the Hamiltonian system, and if the control weighting matrix is a symmetric matrix of constants, it is possible to move several poles of the system to the desired closed loop poles by applying the control law repeatedly. The paper presents a method of calculating the state weighting matrix and the control law for moving the equal poles with Jordan blocks to two real poles using the characteristic equation of the Hamiltonian system. We express this characteristic equation with a state weighting matrix by means of a trigonometric function, and we derive the relation function (${\rho},\;{\theta}$) between the equal poles and the state weighting matrix under the condition that the two real poles are the roots of the characteristic equation. Then, we obtain the moving-range of the two real poles under the condition that the state weighting matrix becomes a positive semi-finite matrix. We calculate the state weighting matrix and the control law by substituting the two real roots selected in the moving-range into the relational function. As an example, we apply the proposed method to a simple example 3rd order system.

Market sentiment and its effect on real estate return: evidence from China Shenzhen

  • LI, ZHUO
    • Journal of the Korea Society of Computer and Information
    • /
    • v.27 no.9
    • /
    • pp.243-251
    • /
    • 2022
  • In this paper, we propose a phenomenon that analyze the impact of market sentiment on China's real estate market through the perspective of behavioral economics. Previously, real estate market analyzation basically focus on some fundamental principles which include market price, monetary policies and income, etc. However, little research has explored market sentiment and its influence. By using principal components analysis (PCA), this study first creates buyer's sentiment and seller's sentiment to measure the heat of China's real estate market. Different from using traditional estimation method, the vector autoregressive model (VAR) is used to analyze how both sentiments affect real estate return. The overall results show that from unit root test and impulse response analyzation, the impact of seller's sentiment is positive to real estate market while buyer's sentiment is negative. At the same time, the higher seller's sentiment will have different influence on the housing market compared with the higher buyer's sentiment.

Model-based inverse regression for mixture data

  • Choi, Changhwan;Park, Chongsun
    • Communications for Statistical Applications and Methods
    • /
    • v.24 no.1
    • /
    • pp.97-113
    • /
    • 2017
  • This paper proposes a method for sufficient dimension reduction (SDR) of mixture data. We consider mixture data containing more than one component that have distinct central subspaces. We adopt an approach of a model-based sliced inverse regression (MSIR) to the mixture data in a simple and intuitive manner. We employed mixture probabilistic principal component analysis (MPPCA) to estimate each central subspaces and cluster the data points. The results from simulation studies and a real data set show that our method is satisfactory to catch appropriate central spaces and is also robust regardless of the number of slices chosen. Discussions about root selection, estimation accuracy, and classification with initial value issues of MPPCA and its related simulation results are also provided.

A Fixed-point implementation of MPEG-4 CELP coder (고정소수점 연산구조에 기초한 MPEG-4 CELP coder구현)

  • 이우종;이재식;박지태;장태규;이전우
    • Proceedings of the IEEK Conference
    • /
    • 2001.06d
    • /
    • pp.119-122
    • /
    • 2001
  • 본 논문에서는 음성압축 앨고리즘인 MPEG-4 CELP coder를 16 bit DSP 구현에 필요한 고정소수점 연산구조로 구현하였다. 기본 앨고리즘 중에 LSP 계수를 구하는 방법인 Chebyshev series method 대신 고정소수점 구현에 유리한 Real root method 앨고리즘을 사용하였다. 또한 cosine, log 둥 DSP 명령어가 지원하지 않는 수학 함수들은 미리 계산하여 테이블 적용기법을 사용하였고 고정 소수점 연산에 불리한 나눗셈 연산을 최대한 배제하였다. 고정 소수점 연산 구조로 변환한 후 부동 소수점 연산구조와의 비교를 통하여 오차를 최소화하도록 하였다 구현한 음성코더를 남, 여 각 5문장에 적용했을 때 부동 소수점 연산구조에 비교해 음질의 열화가 없음을 확인하였다.

  • PDF

Comparison of Methods for Detecting and Quantifying Variation in Copy Numbers of Duplicated Genes

  • Jeon, Jin-Tae;Ahn, Sung-Jin
    • Communications for Statistical Applications and Methods
    • /
    • v.16 no.6
    • /
    • pp.1037-1046
    • /
    • 2009
  • Copy number variations(CNVs) are known as one of the most important factors in susceptibility to genetic disorders because they affect expression levels of genes. In previous studies, pyrosequencing, mini-sequencing real-time polymerase chain reaction(PCR), invader assays and other techniques have been used to detect CNVs. However, the higher the copy number in a genome, the more difficult it is to resolve the copies, so a more accurate method for measuring CNVs and assigning genotype is needed. PCR followed by a quantitative oligonucleotide ligation assay(qOLA) was developed for quantifying CNVs. The aim of this study was to compare the two methods for detecting and quantifying the CNVs of duplicated gene: the published pyrosequencing assay(pyro_CNV) and the newly developed qOLA_CNV. The accuracy and precision of the assay were evaluated for porcine KIT, which was selected as a model locus. Overall, the root mean squares(RMSs) of bias and standard deviation of qOLA_CNV were 2.09 and 0.45, respectively. These values are less than half of those of pyro CNV.

Model selection for unstable AR process via the adaptive LASSO (비정상 자기회귀모형에서의 벌점화 추정 기법에 대한 연구)

  • Na, Okyoung
    • The Korean Journal of Applied Statistics
    • /
    • v.32 no.6
    • /
    • pp.909-922
    • /
    • 2019
  • In this paper, we study the adaptive least absolute shrinkage and selection operator (LASSO) for the unstable autoregressive (AR) model. To identify the existence of the unit root, we apply the adaptive LASSO to the augmented Dickey-Fuller regression model, not the original AR model. We illustrate our method with simulations and a real data analysis. Simulation results show that the adaptive LASSO obtained by minimizing the Bayesian information criterion selects the order of the autoregressive model as well as the degree of differencing with high accuracy.

Lightweight Algorithm for Digital Twin based on Diameter Measurement using Singular-Value-Decomposition (특이값 분해를 이용한 치수측정 기반 디지털 트윈 알고리즘 경량화)

  • Seungmin Lee;Daejin Park
    • IEMEK Journal of Embedded Systems and Applications
    • /
    • v.18 no.3
    • /
    • pp.117-124
    • /
    • 2023
  • In the machine vision inspection equipment, diameter measurement is important process in inspection of cylindrical object. However, machine vision inspection equipment requires complex algorithm processing such as camera distortion correction and perspective distortion correction, and the increase in processing time and cost required for precise diameter measurement. In this paper, we proposed the algorithm for diameter measurement of cylindrical object using the laser displacement sensor. In order to fit circle for given four input outer points, grid search algorithms using root-mean-square error and mean-absolute error are applied and compared. To solve the limitations of the grid search algorithm, we finally apply the singular-value-decomposition based circle fitting algorithm. In order to compare the performance of the algorithms, we generated the pseudo data of the outer points of the cylindrical object and applied each algorithm. As a result of the experiment, the grid search using root-mean-square error confirmed stable measurement results, but it was confirmed that real-time processing was difficult as the execution time was 10.8059 second. The execution time of mean-absolute error algorithm was greatly improved as 0.3639 second, but there was no weight according to the distance, so the result of algorithm is abnormal. On the other hand, the singular-value-decomposition method was not affected by the grid and could not only obtain precise detection results, but also confirmed a very good execution time of 0.6 millisecond.

Accuracy Analysis of Kinematic SBAS Surveying (SBAS 이동측위 정확도 분석)

  • Kim, Hye In;Son, Eun Seong;Lee, Ho Seok;Kim, Hyun Ho;Park, Kwan Dong
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
    • /
    • v.26 no.5
    • /
    • pp.493-504
    • /
    • 2008
  • Space-Based Augmentation System (SBAS), which is one of the GPS augmentation systems, is a Wide-Area Differential GPS that provides differential GPS corrections and integrity data. In this study, we did performance analysis of kinematic SBAS surveying by conducting Real-Time Kinematic (RTK), DGPS, standalone, and SBAS surveys. Considering static survey results as truth, 2-D Root Mean Square (RMS) error and 3-D RMS error were computed to evaluate the positioning accuracy of each survey method. As a result, the 3-D positioning error of RTK was 13.1cm, DGPS 126.0cm, standalone (L1/L2) 135.7cm, standalone (C/A) 428.9cm, and SBAS 109.2cm. The results showed that the positioning accuracy of SBAS was comparable to that of DGPS.

Detection of flexural damage stages for RC beams using Piezoelectric sensors (PZT)

  • Karayannis, Chris G.;Voutetaki, Maristella E.;Chalioris, Constantin E.;Providakis, Costas P.;Angeli, Georgia M.
    • Smart Structures and Systems
    • /
    • v.15 no.4
    • /
    • pp.997-1018
    • /
    • 2015
  • Structural health monitoring along with damage detection and assessment of its severity level in non-accessible reinforced concrete members using piezoelectric materials becomes essential since engineers often face the problem of detecting hidden damage. In this study, the potential of the detection of flexural damage state in the lower part of the mid-span area of a simply supported reinforced concrete beam using piezoelectric sensors is analytically investigated. Two common severity levels of flexural damage are examined: (i) cracking of concrete that extends from the external lower fiber of concrete up to the steel reinforcement and (ii) yielding of reinforcing bars that occurs for higher levels of bending moment and after the flexural cracking. The purpose of this investigation is to apply finite element modeling using admittance based signature data to analyze its accuracy and to check the potential use of this technique to monitor structural damage in real-time. It has been indicated that damage detection capability greatly depends on the frequency selection rather than on the level of the harmonic excitation loading. This way, the excitation loading sequence can have a level low enough that the technique may be considered as applicable and effective for real structures. Further, it is concluded that the closest applied piezoelectric sensor to the flexural damage demonstrates higher overall sensitivity to structural damage in the entire frequency band for both damage states with respect to the other used sensors. However, the observed sensitivity of the other sensors becomes comparatively high in the peak values of the root mean square deviation index.

An Empirical Study on the Estimation of Housing Sales Price using Spatiotemporal Autoregressive Model (시공간자기회귀(STAR)모형을 이용한 부동산 가격 추정에 관한 연구)

  • Chun, Hae Jung;Park, Heon Soo
    • Korea Real Estate Review
    • /
    • v.24 no.1
    • /
    • pp.7-14
    • /
    • 2014
  • This study, as the temporal and spatial data for the real price apartment in Seoul from January 2006 to June 2013, empirically compared and analyzed the estimation result of apartment price using OLS by hedonic price model for the problem of space-time correlation, temporal autoregressive model (TAR) considering temporal effect, spatial autoregressive model (SAR) spatial effect and spatiotemporal autoregressive model (STAR) spatiotemporal effect. As a result, the adjusted R-square of STAR model was increased by 10% compared that of OLS model while the root mean squares error (RMSE) was decreased by 18%. Considering temporal and spatial effect, it is observed that the estimation of apartment price is more correct than the existing model. As the result of analyzing STAR model, the apartment price is affected as follows; area for apartment(-), years of apartment(-), dummy of low-rise(-), individual heating (-), city gas(-), dummy of reconstruction(+), stairs(+), size of complex(+). The results of other analysis method were the same. When estimating the price of real estate using STAR model, the government officials can improve policy efficiency and make reasonable investment based on the objective information by grasping trend of real estate market accurately.