• Title/Summary/Keyword: Instrumental Variable Algorithm

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Extending the SRIV Identification Algorithm to MIMO LMFD Models

  • Akroum, Mohamed;Hariche, Kamel
    • Journal of Electrical Engineering and Technology
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    • v.4 no.1
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    • pp.135-142
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    • 2009
  • In this paper the Simplified Refined Instrumental Variable (SRIV) identification algorithm for SISO systems is extended to MIMO systems described by a Left Matrix Fraction Description (LMFD). The performance of the extended algorithm is compared to the well-known MIMO four-step instrumental variable (IV4) algorithm. Monte Carlo simulations for different signal to noise ratios are conducted to assess the performance of the algorithm. Moreover, the algorithm is applied to a simulated quadruple tank process.

Covariance Lattice Instrumental Variable Algorithm for Spectral Estimation (스펙트럼 추정을 위한 공분산 기구변수 격자 앨고리즘)

  • 양흥석;남현도;김진기
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.35 no.4
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    • pp.156-162
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    • 1986
  • The last few years have seen a rapid development of so-called lattice algorithms for the fast solution of finite date algorithms. So far, most of the work on ladder form has been done for the prewindowed case. In this paper, the covariance lattice algorithm for instrumental variable recusions is presented. This algorithm can be used in various areas of adaptive signal processing, spectral estimation and system identification. The behavior of the proposed algorithm is illustrated by some simulation results for spectral estimation.

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Modified Instrumental Variable Methods for ARMA Spectral Estimation (ARMA 스펙트럼 추정을 위한 변형기구 변수법에 관한 연구)

  • 양흥석;정찬수;남도현;김국헌
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.35 no.10
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    • pp.438-444
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    • 1986
  • The signal can be modeled as a linear combination of its past values and present and past values of a hypothetical input to system whose output is given signal. Using this model spectral estimation problem can be reduced to estimate the ARMA parameters. This paper presents recursive modified instrumental variable algorithm which can estimate AR and MA parameters. For more accurate estimation, overdetermined modified IV algorithm is also derived. Computer simulations are presented to illustrate the above methods.

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A Recursive Estimation Algorithm for FIR System Using Higher Order Cumulants (고차 큐뮬런트를 이용한 FIR 시스템의 회귀 추정 알고리듬)

  • Kim, Hyoung-Ill;Yang, Tae-Won;Jeon, Bum-Ki;Sung, Koeng-Mo
    • The Journal of the Acoustical Society of Korea
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    • v.16 no.3
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    • pp.81-85
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    • 1997
  • In this paper, a recursive estimation algorithm for FIR systems is proposed using the 3rd and 4th order cumulants. To obtain the Overdetermined Recursive Instrumental Variable(ORIV) method type algorithm, we transform the 3'th and 4'th order cumulant relationship to a certain matrix form which is consist of only output data. From the matrix form, we induce the proposed algorithm procedure following the ORIV method. The proposed algorithm provides improved estimation accuracy with smaller data and can be applied to a time varying system as well. In addition, it reduces the estimation error due to the additive Gaussian noise compared to conventional 2'rd order based algorithms since it only uses higher than 2'rd order cumulant. Simulation results are presented to compare the performance with other HOS-based algorithms.

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An Application of the Instrumental Variable Method(IVM) to a Parameter Identification of a Noise Contaminated Bearing Test Rig (IV 방법을 이용한 잡음이 포함된 베어링 실험 장치의 동특성 파라미터 추출)

  • 이용복;김창호;최동훈
    • Journal of KSNVE
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    • v.6 no.5
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    • pp.679-684
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    • 1996
  • The Instrumental Variable Method(IVM), modified from least square algorithm, is applied to parameter identification of a noise contaminated bearing test rig. The signal to noise ratio included in Frequency Response Function(FRF) can cause significant errors in parameter identification. Therefore, among several candidates of parameter identification method, results of the applied IVM were compared with noise-contaminated least square method. This study shows that the noise-contaminated least square method can have indonsistent accuracy depending on the degree of noise level, while the IVM has robuster performance to signal to noise ratio than least square method.

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A Study on Identification of State-Space Model for Refuse Incineration Plant (쓰레기 소각플랜트의 상태공간모델 규명에 관한 연구)

  • Hwang, l-Cheol;Jeon, Chung-Hwan;Lee, Jin-Kul
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.3
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    • pp.354-362
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    • 2000
  • This paper identifies a discrete-time linear combustion model of Refuse Incineration Plant(RIP) which characterizes steam generation quantity, where the RIP is considered as a MIMO system with thirteen-inputs and one-output. The structure of RIP model is described as an ARX model which are analytically obtained from the combustion dynamics. Furthermore, using the Instrumental Variable(IV) identification algorithm, model structure and unknown parameters are identified from experimental input-output data sets, In result, it is shown that the identified ARX model well approximates the input-output combustion characteristics given by experimental data sets.

Analysis and Lattice Implementation of Extended Instrumental Variable Methods for High Resolution Spectral Analysis (고해상도 스텍트럼 해석을 위한 확장 기구변수법의 해석 및 격자구조실현)

  • Nam, Hyun-Do
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.3
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    • pp.312-320
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    • 1990
  • Analysis and lattice implementation of Extended Instrumental Variable (EIV) methods for high resolution spectral analysis are presented. The performance of EIV is improved by using prefilters and the unbiasness of EIV is proved by using the fact that residual processes are white. We derive the order and time update formulas for the covariance lattice algorithm which is particularly useful in case of short data or nonstationary processes. The ARMA model can be modeled as two channel AR processes. Using this model, the lattice algorithms of EIV are derived. Computer simulations are performed to show the usefulness of the proposed algorithms.

A Learning Model of Forward Slip Ratio Based on Model Identification in Hot Strip Finishing Mill Process (모델규명법에 기초한 열간 사상압연 선진율 학습모델)

  • Hwang, I Cheol;Kim, Shin Il
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.1
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    • pp.63-68
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    • 2017
  • This paper reviews the learning model of a forward slip ratio in order to improve the mass-flow stability and strip qualities in the hot strip finishing mill process. Firstly, it is shown, from mathematical analysis, that the significant parameters of the forward slip ratio are the tension, looper angle, and roll velocity. Secondly, a discrete-time learning model of the forward slip ratio is proposed from these parameters, which is identified by an instrumental variable (IV) identification algorithm. Finally, it is shown from computer simulation that the proposed learning model is more effective than the existing learning model.

Robust System Identification Algorithm Using Cross Correlation Function

  • Takeyasu, Kazuhiro;Amemiya, Takashi;Goto, Hiroyuki;Masuda, Shiro
    • Industrial Engineering and Management Systems
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    • v.1 no.1
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    • pp.79-86
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    • 2002
  • This paper proposes a new algorithm for estimating ARMA model parameters. In estimating ARMA model parameters, several methods such as generalized least square method, instrumental variable method have been developed. Among these methods, the utilization of a bootstrap type algorithm is known as one of the effective approach for the estimation, but there are cases that it does not converge. Hence, in this paper, making use of a cross correlation function and utilizing the relation of structural a priori knowledge, a new bootstrap algorithm is developed. By introducing theoretical relations, it became possible to remove terms, which is liable to include much noise. Therefore, this leads to robust parameter estimation. It is shown by numerical examples that using this algorithm, all simulation cases converge while only half cases succeeded with the previous one. As for the calculation time, judging from the fact that we got converged solutions, our proposed method is said to be superior as a whole.

Identification of a Parametric ARX Model of a Steam Generation and Exhaust Gases for Refuse Incineration Plants (소각 프린트의 증기발생 및 배기가스에 대한 파라메트릭 ARX 모델규명)

  • Hwang, Lee-Cheol
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.7
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    • pp.556-562
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    • 2002
  • This paper studies the identification of a combustion model, which is used to design a linear controller of a steam generation quantity and harmful exhaust gases of a Refuse Incineration Plant(RIP). Even though the RIP has strong nonlinearities and complexities, it is identified as a MIMO parametric ARX model from experimental input-output data sets. Unknown model parameters are decided from experimental input-output data sets, using system identification algorithm based on Instrumental Variables(IV) method. It is shown that the identified model well approximates the input-output combustion characteristics.