• 제목/요약/키워드: Subspace system identification

검색결과 49건 처리시간 0.025초

Vibration-based identification of rotating blades using Rodrigues' rotation formula from a 3-D measurement

  • Loh, Chin-Hsiung;Huang, Yu-Ting;Hsiung, Wan-Ying;Yang, Yuan-Sen;Loh, Kenneth J.
    • Wind and Structures
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    • 제21권6호
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    • pp.677-691
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    • 2015
  • In this study, the geometrical setup of a turbine blade is tracked. A research-scale rotating turbine blade system is setup with a single 3-axes accelerometer mounted on one of the blades. The turbine system is rotated by a controlled motor. The tilt and rolling angles of the rotating blade under operating conditions are determined from the response measurement of the single accelerometer. Data acquisition is achieved using a prototype wireless sensing system. First, the Rodrigues' rotation formula and an optimization algorithm are used to track the blade rolling angle and pitching angles of the turbine blade system. In addition, the blade flapwise natural frequency is identified by removing the rotation-related response induced by gravity and centrifuge force. To verify the result of calculations, a covariance-driven stochastic subspace identification method (SSI-COV) is applied to the vibration measurements of the blades to determine the system natural frequencies. It is thus proven that by using a single sensor and through a series of coordinate transformations and the Rodrigues' rotation formula, the geometrical setup of the blade can be tracked and the blade flapwise vibration frequency can be determined successfully.

DS/CDMA DMB 하향 링크에서의 신호 공간에 기초한 블라인드 채널 추정 (Blind Signal Subspace-Based Channel Identification for DS/CDMA DM Downlink)

  • 양완철;이병섭
    • 한국전자파학회논문지
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    • 제15권9호
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    • pp.848-855
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    • 2004
  • 본 논문에서는 긴 코드 DS/CDMA DMB 하향링크 시스템에서의 신호공간에 기초한 새로운 채널추정기법을 제안한다. 신호공간과 잡음공간과의 직교성을 이용하는 종래의 부분공간 방식과는 달리 신호공간만을 이용하여 채널응답을 추정할 수 있다. 신호공간만을 이용하므로 제안된 기법은 종래의 부분공간 방식에서의 연산복잡도 문제를 해결할 수 있고 따라서 실제 구현 가능한 적절한 사이즈의 공분산 행렬로 부분공간 분석을 통한 채널추정기법에 사용될 수 있다. 논문을 통하여 제안된 기법과 관련된 수식을 도출하고 시뮬레이션 및 수치결과를 통해 제안된 기법의 유효성을 보인다.

An Interpretation of QR Factorization in Subspace Identification

  • Takei, Yoshinori;Imai, Jun;Wada, Kiyoshi
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1999년도 제14차 학술회의논문집
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    • pp.121-124
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    • 1999
  • Subspace-based state space system identification (4SID) methods have been demonstrated to per-form well in a number of applications, but the properties of these have not been fully analyzed or understood yet. For applying the methods, no assumptions on structure of realization are needed and any coordinate transformation is allowed for the estimates. This is one reason why many kinds of properties expected for identification procedures have not been clarified yet. We illustrate, by using Schur complement, an interpretation of the R matrix yielded by the QR factorization in the 4SID procedure. The results in this paper can be useful for analysis of properties of parameters obtained by 4SID methods.

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System identification of highway bridges from ambient vibration using subspace stochastic realization theories

  • Ali, Md. Rajab;Okabayashi, Takatoshi
    • Earthquakes and Structures
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    • 제2권2호
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    • pp.189-206
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    • 2011
  • In this study, the subspace stochastic realization theories (SSR model I and SSR model II) have been applied to a real bridge for estimating its dynamic characteristics (natural frequencies, damping constants, and vibration modes) under ambient vibration. A numerical simulation is carried out for an arch-type steel truss bridge using a white noise excitation. The estimates obtained from this simulation are compared with those obtained from the Finite Element (FE) analysis, demonstrating good agreement and clarifying the excellent performance of this method in estimating the structural dynamic characteristics. Subsequently, these methods are applied to the vibration induced by both strong and weak winds as obtained by remote monitoring of the Kabashima bridge (an arch-type steel truss bridge of length 136 m, and situated in Nagasaki city). The results obtained with this experimental data reveal that more accurate estimates are obtained when strong wind vibration data is used. In contrast, the vibration data obtained from weak wind provides accurate estimates at lower frequencies, and inaccurate accuracy for higher modes of vibration that do not get excited by the wind of lower intensity. On the basis of the identified results obtained using both simulated data and monitored data from a real bridge, it is determined that the SSR model II realizes more accurate results than the SSR model I. In general, the approach investigated in this study is found to provide acceptable estimates of the dynamic characteristics of highway bridges as well as for the vibration monitoring of bridges.

RHC를 기반으로 하는 열간압연 루퍼 제어 (RHC based Looper Control for Hot Strip Mill)

  • 박철재
    • 제어로봇시스템학회논문지
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    • 제14권3호
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    • pp.295-300
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    • 2008
  • In this paper, a new looper controller is proposed to minimize the tension variation of a strip in the hot strip finishing mill. The proposed control technology is based on a receding horizon control (RHC) to satisfy the constraints on the control input/state variables. The finite terminal weighting matrix is used instead of the terminal equality constraint. The closed loop stability of the RHC for the looper system is analyzed to guarantee the monotonicity of the optimal cost. Furthermore, the RHC is combined with a 4SID(Subspace-based State Space System Identification) model identifier to improve the robustness for the parameter variation and the disturbance of an actuator. As a result, it is shown through a computer simulation that the proposed control scheme satisfies the given constraints on the control inputs and states: roll speed, looper current, unit tension, and looper angle. The control scheme also diminishes the tension variation for the parameter variation and the disturbance as well.

전단빌딩의 강성행렬 및 부재의 강성추정을 위한 부분공간 시스템 확인기법에서의 행켈행렬의 크기 결정 (Determining the Size of a Hankel Matrix in Subspace System Identification for Estimating the Stiffness Matrix and Flexural Rigidities of a Shear Building)

  • 박승근;박현우
    • 한국전산구조공학회논문집
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    • 제26권2호
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    • pp.99-112
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    • 2013
  • 이 논문은 부분공간 시스템 확인기법을 이용하여 전단빌딩의 강성행렬과 부재의 강성을 추정하는 기법을 소개한다. 시스템 행렬은 입력-출력 데이터로 구성된 행켈행렬을 LQ 분해와 특이치 분해를 통해 추정한다. 추정된 시스템 행렬은 닮음 변환을 통해 실제 좌표축으로 변환하고, 변환된 시스템 행렬로부터 강성행렬을 계산한다. 추정된 강성행렬의 정확성과 안정성은 행켈행렬의 크기에 따라 변한다. 전단빌딩의 기저 유한요소 모델을 이용하여 행켈행렬의 크기에 따른 강성행렬의 추정 오차 곡선을 구한다. 오차 곡선을 이용하여 목표 정확도 수준에 부합하는 행켈행렬의 크기들을 결정한다. 이렇게 선택된 행렬의 크기들 중에서 부분공간 시스템 확인의 계산비용을 고려하여 보다 적절한 행렬의 크기를 결정할 수 있다. 결정된 크기의 행켈행렬을 이용하여 강성행렬을 추정하고 추정된 강성행렬로부터 부재의 강성을 추정한다. 제안된 방법을 손상 전후의 5층 전단빌딩 수치 예제에 적용하여 타당성을 검증한다.

A Study on the Control Model Identification and H(sub)$\infty$ Controller Design for Trandem Cold Mills

  • Lee, Man-Hyung;Chang, Yu-Shin;Kim, In-Soo
    • Journal of Mechanical Science and Technology
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    • 제15권7호
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    • pp.847-858
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    • 2001
  • This paper considers the control model identification and H(sub)$\infty$ controller design for a tandem cold mill (TCM). In order to improve the performance of the existing automatic gauge control (AGC) system based on the Taylor linearized model of the TCM, a new mathematical model that can complement the Taylor linearized model is constructed by using the N4SID algorithm based on subspace method and the least squares algorithm based on ARX model. It is shown that the identified model had dynamic characteristics of the TCM than the existing Taylor linearized model. The H(sub)$\infty$ controller is designed to have robust stability to the system parameters variation, disturbance attenuation and robust tracking capability to the set-up value of strip thickness. The H(sub)$\infty$ servo problem is formulated and it is solved by using LMI (linear matrix inequality) techniques. Simulation results demonstrate the usefulness and applicability of the proposed H(sub)$\infty$ controller.

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Hybrid evolutionary identification of output-error state-space models

  • Dertimanis, Vasilis K.;Chatzi, Eleni N.;Spiridonakos, Minas D.
    • Structural Monitoring and Maintenance
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    • 제1권4호
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    • pp.427-449
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    • 2014
  • A hybrid optimization method for the identification of state-space models is presented in this study. Hybridization is succeeded by combining the advantages of deterministic and stochastic algorithms in a superior scheme that promises faster convergence rate and reliability in the search for the global optimum. The proposed hybrid algorithm is developed by replacing the original stochastic mutation operator of Evolution Strategies (ES) by the Levenberg-Marquardt (LM) quasi-Newton algorithm. This substitution results in a scheme where the entire population cloud is involved in the search for the global optimum, while single individuals are involved in the local search, undertaken by the LM method. The novel hybrid identification framework is assessed through the Monte Carlo analysis of a simulated system and an experimental case study on a shear frame structure. Comparisons to subspace identification, as well as to conventional, self-adaptive ES provide significant indication of superior performance.

스탠드간 간섭현상을 고려한 연속 냉간압연기의 선형모델 규명 (Identification of Linear Model for Tandem Cold Mill Considering Interstand Interference)

  • 김인수;장유신;황이철;주효남;이만형
    • 한국정밀공학회지
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    • 제17권8호
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    • pp.78-86
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    • 2000
  • This study identified a linear time-invariant mathematical model of each stand of a five-stand tandem cold mill. Two model identification methods are applied to construct a linear model of each stand of the tandem cold mill. For the model identification the input-output data that have interstand interference property in tandem cold rolling are obtained from a nonlinear simulator of the tandem cold mill. And a linear model of each stand is identified with N4SD(numerical algorithms for subspace state space system identification) method based on a state-space model and Least Square algorithm based on a transfer function. Furthermore a modeling error of the tandem cold mill is quantitatively analyzed from a maximum singular value plot of error function between an identified nominal model and uncertain model. In conclusion the comparison of the output signals between the existing Taylor linearized model the identified linear model and the nonlinear model of the tandem cold mill shows the accuracy and the applicability of the proposed identified model.

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System identification of a cable-stayed bridge using vibration responses measured by a wireless sensor network

  • Kim, Jeong-Tae;Ho, Duc-Duy;Nguyen, Khac-Duy;Hong, Dong-Soo;Shin, Sung Woo;Yun, Chung-Bang;Shinozuka, Masanobu
    • Smart Structures and Systems
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    • 제11권5호
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    • pp.533-553
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    • 2013
  • In this paper, system identification of a cable-stayed bridge in Korea, the Hwamyung Bridge, is performed using vibration responses measured by a wireless sensor system. First, an acceleration based-wireless sensor system is employed for the structural health monitoring of the bridge, and wireless sensor nodes are deployed on a deck, a pylon and several selected cables. Second, modal parameters of the bridge are obtained both from measured vibration responses and finite element (FE) analysis. Frequency domain decomposition and stochastic subspace identification methods are used to obtain the modal parameters from the measured vibration responses. The FE model of the bridge is established using commercial FE software package. Third, structural properties of the bridge are updated using a modal sensitivity-based method. The updating work improves the accuracy of the FE model so that structural behaviors of the bridge can be represented better using the updated FE model. Finally, cable forces of the selected cables are also identified and compared with both design and lift-off test values.