• Title/Summary/Keyword: ARMA Model Identification

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GENERALISED PARAMETERS TECHNIQUE FOR IDENTIFICATION OF SEASONAL ARMA (SARMA) AND NON SEASONAL ARMA (NSARMA) MODELS

  • M. Sreenivasan;K. Sumathi
    • Journal of applied mathematics & informatics
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    • v.4 no.1
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    • pp.135-135
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    • 1997
  • Times series modeling plays an important role in the field of engineering, Statistics, Biomedicine etc. Model identification is one of crucial steps in the modeling of an AutoRegreesive Moving Average(ARMA(p, q)) process for real world problems. Many techniques have been developed in the literature (Salas et al., McLeod et al. etc.) for the identification of an ARMA(p, q) Model. In this paper, a new technique called The Generalised Parameters Technique is formulated for seasonal and non-seasonal ARMA model identification. This technique is very simple and can e applied to any given time series. Initial estimates of the AR parameters of the ARMA model are also obtained by this method. This model identification technique is validated through many theoretical and simulated examples.

A New Variant of Correlation Approach for ARMA Model Identification

  • Seong, Sang-Man
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1903-1906
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    • 2005
  • We proposed a new variant of correlation approach for ARMA model. The proposed method is is intended to make the current prediction error uncorrelated with the past one. In the investigation of the properties, the uniqueness, consistency and asymptotic normality of the estimate are shown. Via simulation results, we show that the proposed method give good estimates for various systems.

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An ARMA Model Identification Method By Direct Whitening Of Prediction Error and Its Application to Estimation of Gyroscope Random Error (예측오차 직접 백색화에 의한 ARMA 모델 식별 기법 및 자이로 불규칙오차 추정에의 적용)

  • Seong, Sang-Man;Lee, Dal-Ho
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.7
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    • pp.423-427
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    • 2005
  • In this paper, we proposed a new ARMA model identification which estimate the parameters to make the current prediction error uncorrelated with the past one. As good properties of the proposed method, we show the uniqueness, consistency of the estimate and asymptotic normality of the estimation error. Via simulation results, we show that the proposed method give good estimates for various systems which have different power spectrum. Moreover, the estimation of gyroscope random errors shows that the proposed method is applicable to the real data.

Design of An Integrated Neural Network System for ARMA Model Identification (ARMA 모형선정을 위한 통합된 신경망 시스템의 설계)

  • Ji, Won-Cheol;Song, Seong-Heon
    • Asia pacific journal of information systems
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    • v.1 no.1
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    • pp.63-86
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    • 1991
  • In this paper, our concern is the artificial neural network-based patten classification, when can resolve the difficulties in the Autoregressive Moving Average(ARMA) model identification problem To effectively classify a time series into an approriate ARMA model, we adopt the Multi-layered Backpropagation Network (MLBPN) as a pattern classifier, and Extended Sample Autocorrelation Function (ESACF) as a feature extractor. To improve the classification power of MLBPN's we suggest an integrated neural network system which consists of an AR Network and many small-sized MA Networks. The output of AR Network which will gives the MA order. A step-by-step training strategy is also suggested so that the learned MLBPN's can effectively ESACF patterns contaminated by the high level of noises. The experiment with the artificially generated test data and real world data showed the promising results. Our approach, combined with a statistical parameter estimation method, will provide a way to the automation of ARMA modeling.

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Multivariable Nonlinear Model Predictive Control of a Continuous Styrene Polymerization Reactor

  • Na, Sang-Seop;Rhee, Hyun-Ku
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.45-48
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    • 1999
  • Model predictive control algorithm requires a relevant model of the system to be controlled. Unfortunately, the first principle model describing a polymerization reaction system has a large number of parameters to be estimated. Thus there is a need for the identification and control of a polymerization reactor system by using available input-output data. In this work, the polynomial auto-regressive moving average (ARMA) models are employed as the input-output model and combined into the nonlinear model predictive control algorithm based on the successive linearization method. Simulations are conducted to identify the continuous styrene polymerization reactor system. The input variables are the jacket inlet temperature and the feed flow rate whereas the output variables are the monomer conversion and the weight-average molecular weight. The polynomial ARMA models obtained by the system identification are used to control the monomer conversion and the weight-average molecular weight in a continuous styrene polymerization reactor It is demonstrated that the nonlinear model predictive controller based on the polynomial ARMA model tracks the step changes in the setpoint satisfactorily. In conclusion, the polynomial ARMA model is proven effective in controlling the continuous styrene polymerization reactor.

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ARMA Model Identification Using the Bayes Factor

  • Son, Young-Sook
    • Journal of the Korean Statistical Society
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    • v.28 no.4
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    • pp.503-513
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    • 1999
  • The Bayes factor for the identification of stationary ARM(p,q) models is exactly computed using the Monte Carlo method. As priors are used the uniform prior for (\ulcorner,\ulcorner) in its stationarity-invertibility region, the Jefferys prior and the reference prior that are noninformative improper for ($\mu$,$\sigma$\ulcorner).

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Adaptive predictive level control of waste heat steam boiler based on bilinear model (쌍일차 모델을 이용한 폐열 스팀 보일러의 액위 적응 예측 제어)

  • Oh, Sea-Cheon;Yeo, Yeong-Koo
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.4
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    • pp.344-350
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    • 1996
  • An adaptive predictive level control of waste heat steam boiler was studied by using mathematical models considering the inverse response. The simulation experiments of the model identification were performed by using linear and bilinear models. From the results of simulations it was found that the bilinear model represented the actual dynamic behavior of steam boiler very well. ARMA model was used in the model identification and the adaptive predictive controller. To verify the performance and effectiveness of the adaptive predictive controller used in this study the simulation results of the adaptive predictive level control for waste heat steam boiler based on bilinear model were compared to those of P, PI and PID controller. The results of simulations showed that the adaptive predictive controller provides the fast arrival to setpoint of liquid level.

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A Method to Enhance Dynamic Range for Seismic Sensor Using ARMA Modelling of Low Frequency Noise and Kalman Filtering (지진계 저주파수 잡음의 ARMA 모델링 및 칼만필터를 이용한 지진계 동적범위 향상 방법)

  • Seong, Sang-Man;Lee, Byeung-Leul;Won, Jang-Ho
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.19 no.4
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    • pp.43-48
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    • 2015
  • In this study, a method to enhance the dynamic range of seismic sensor is proposed. The low frequency noise included in the measurement of seismic sensor is modelled as an ARMA(Auto Regressive Moving Average) model and the order and parameters of the model are identified through system identification method. The identified noise model is augmented into Kalmman filter which estimate seismic signal from sensor measurement. The proposed method is applied to a newly developed seismic sensor which is MEMS based 3-axis accelerometer type. The experiment show that the proposed method can enhance the dynamic range compared to the simple low pass filtering.

Combining Multiple Neural Networks by Dempster's Rule of Combination for ARMA Model Identification (Dempster's Rule of Combination을 이용한 인공신경망간의 결합에 의한 ARMA 모형화)

  • Oh, Sang-Bong
    • Journal of Information Technology Application
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    • v.1 no.3_4
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    • pp.69-90
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    • 1999
  • 본 논문은 시계열자료의 ARMA 모형화를 위해 계층적(Hierarchical) 문제해결 방식인 인공신경망 기초 의상결정트리분류기상의 인공신경망 구조를 개선하여 지역문제(Local Problem)를 해결하는 복수개의 인공신경망 결과를 Dempster's rule of combination을 이용하여 종합하는 병행적인 (Parallel) ARMA 모형활르 위한 방법론을 제시함으로써 의사결정트리분류기에 근거한 방법론의 단점을 보완하였다. 본 논문에서 제시한 ARMA 모형화를 위한 방법론은 세 단계로 구성되어 있다: 1) ESACF 특성 벡터 추출단계; 2) 개별 인공신경망에 의한 부분적 모델링 단계; 3) Conflict Resolution 단계, 제시한 방법론을 검증하기 위해 모의실험용 자료와 실제 시계열자료를 이용하여 제시된 방법론을 검증하였으며 실험결과 기존 연구에 비해 ARMA 모형화와 정확도가 높은 것으로 나타났다.

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