• Title/Summary/Keyword: State space equation model

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Real Time Estimation in 1-Dimensional Temperature Distribution Using Modal Analysis and Observer (모드해석과 관측기를 이용한 1차원 온도분포의 실시간 예측)

  • An, Jung-Yong;Park, Yeong-Min;Jeong, Seong-Jong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.2
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    • pp.195-201
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    • 2001
  • An inverse heat conduction problem(IHCP) arises when unknown heat fluxes and whole temperature field are to be found with temperature measurements of a few points. In this paper, observers are proposed as solution algorithm for the IHCP. A 1-dimensional heat transfer problem is modeled with modal analysis and state space equations. Position of the heat source is estimated through test heat inputs and the autocorrelation among a few of temperature data. The modified Bass-Gura method is used to design a state observer to estimate the intensity of heat source and the whole temperature field of a 1-dimensional body. To verify the reliability of this estimator, analytic solutions obtained from the proposed method are compared.

Statistical methods for modelling functional neuro-connectivity (뇌기능 연결성 모델링을 위한 통계적 방법)

  • Kim, Sung-Ho;Park, Chang-Hyun
    • The Korean Journal of Applied Statistics
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    • v.29 no.6
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    • pp.1129-1145
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    • 2016
  • Functional neuro-connectivity is one of the main issues in brain science in the sense that it is closely related to neurodynamics in the brain. In the paper, we choose fMRI as a main form of response data to brain activity due to its high resolution. We review methods for analyzing functional neuro-connectivity assuming that measurements are made on physiological responses to neuron activation. This means that we deal with a state-space and measurement model, where the state-space model is assumed to represent neurodynamics. Analysis methods and their interpretation should vary subject to what was measured. We included analysis results of real fMRI data by applying a high-dimensional autoregressive model, which indicated that different neurodynamics were required for solving different types of geometric problems.

Effect of the Stagnation Temperature on the Normal Shock Wave

  • Zebbiche, Toufik
    • International Journal of Aeronautical and Space Sciences
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    • v.10 no.1
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    • pp.1-14
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    • 2009
  • When the stagnation temperature increases, the specific heat does not remain constant and start to vary with this temperature. The gas is perfect, it's state equation remains always valid, except, it was called by gas calorically imperfect or gas at high temperatures. The purpose of this work is to develop a mathematical model for a normal shock wave normal at high temperature when the stagnation temperature is taken into account, less than the dissociation of the molecules as a generalisation model of perfect for constant heat specific. A study on the error given by the perfect gas model compared to our model is presented in order to find a limit of application of the perfect gas model. The application is for air.

Leakage detection of pipeline system based on modeling and identification (모델링과 검증에 의한 파이프 라인 시스템의 유출 탐지)

  • ;;;Lee, K. S.;Song, H. K.
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.905-910
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    • 1991
  • This paper presets a leakage detection method based on modeling the leakage in pipeline systems. For gas pipeline systems, a method based on the state space model is suggested. For liquid pipeline systems, an experiment based on the static model equation was performed. In the experiment, it was possible to detect the leak and to diagnosis the leak situation within the error of .+-.3%.

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Model-independent Constraints on Type Ia Supernova Light-curve Hyperparameters and Reconstructions of the Expansion History of the Universe

  • Koo, Hanwool;Shafieloo, Arman;Keeley, Ryan E.;L'Huillier, Benjamin
    • The Bulletin of The Korean Astronomical Society
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    • v.45 no.1
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    • pp.48.4-49
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    • 2020
  • We reconstruct the expansion history of the universe using type Ia supernovae (SN Ia) in a manner independent of any cosmological model assumptions. To do so, we implement a nonparametric iterative smoothing method on the Joint Light-curve Analysis (JLA) data while exploring the SN Ia light-curve hyperparameter space by Markov Chain Monte Carlo (MCMC) sampling. We test to see how the posteriors of these hyperparameters depend on cosmology, whether using different dark energy models or reconstructions shift these posteriors. Our constraints on the SN Ia light-curve hyperparameters from our model-independent analysis are very consistent with the constraints from using different parameterizations of the equation of state of dark energy, namely the flat ΛCDM cosmology, the Chevallier-Polarski-Linder model, and the Phenomenologically Emergent Dark Energy (PEDE) model. This implies that the distance moduli constructed from the JLA data are mostly independent of the cosmological models. We also studied that the possibility the light-curve parameters evolve with redshift and our results show consistency with no evolution. The reconstructed expansion history of the universe and dark energy properties also seem to be in good agreement with the expectations of the standard ΛCDM model. However, our results also indicate that the data still allow for considerable flexibility in the expansion history of the universe. This work is published in ApJ.

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Seismic Response Prediction Method of Cabinet Structures in a Nuclear Power Plant Using Vibration Tests (진동시험을 이용한 원자력발전소 캐비닛 구조의 지진응답예측기법)

  • Koo, Ki-Young;Cui, Jintao;Cho, Sung-Gook;Kim, Doo-Kie
    • Journal of the Earthquake Engineering Society of Korea
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    • v.12 no.5
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    • pp.57-63
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    • 2008
  • This paper presents a seismic response prediction method using vibration tests of cabinet-type electrical equipment installed in a nuclear power plant. The proposed method consists of three steps: 1) identification of earthquake-equivalent forces based on lumped-mass system idealization, 2) identification of a state-space-equation model relating input-output measurements obtained from the vibration tests, 3) seismic prediction using the identified earthquake-equivalent forces and the identified state-space-equation. The proposed method is advantageous compared to other methods based on FEM (finite element method) model update, since the proposed method is not influenced by FEM modeling errors. Through a series of numerical verifications on a frame model and 3-dimensional shell model, it was found that the proposed method could be used to accurately predict the seismic responses, even under considerable measurement noise conditions. Experimental validation is needed for further study.

The Model-Following Robust Controller Design for the Vector-Controlled Induction Motor (벡터제어 유도전동기의 모델추종 견실제어기 설계)

  • Chi Hwan Lee
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.30B no.11
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    • pp.93-101
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    • 1993
  • The transfer function of vector-controlled induction motor is represented along with both unstructured and structured uncertainty such as the error of rotor time constant and current ripple. The low-pass-filter behavior of a magnetizing inductance gets rid of unstructured uncertainty in the transfer function. The robust controller to compensate variation of the transfer function is designed using simple P-I linear controllers. The coefficients of speed PI controller are determined from an overshoot and a rising time of system and the coefficients of model-following PI controller are obtained using the solution of Riccati equation of LQR control in the state space equation of the error system. Experimental results with the DSP-based model-following robust controller are shown a good robustness against the structured uncertainty of the motor.

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Identification of Closed Loop System by Subspace Method (부분공간법에 의한 페루프 시스템의 동정)

  • Lee, Dong-Cheol;Bae, Jong-Il;Hong, Soon-Il;Kim, Jong-Kyung;Jo, Bong-Kwan
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2143-2145
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    • 2003
  • In the linear system identification using the discrete time constant coefficients, there is a subspace method based on 4SID recently much suggested instead of the parametric method like as the maximum likelihood method. The subspace method is not related with the impulse response and difference equation in its input-output equation, but with the system matrix of the direct state space model from the input-output data. The subspace method is a very useful tool to adopt in the multivariable system identification, but it has a shortage unable to adopt in the closed-loop system identification. In this paper, we are suggested the methods to get rid of the shortage of the subspace method in the closed-loop system identification. The subspace method is used in the estimate of the output prediction values from the estimating of the state space vector. And we have compared the results with the outputs of the recursive least square method in the numerical simulation.

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NEW MODELING AND CONTROL OF AN ASYMMETRIC HYDRAULIC ACTIVE SUSPENSION SYSTEM

  • Kim, Wanil;Sangchul Won
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.490-495
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    • 1998
  • In this paper an asymmetric hydraulic actuator which consists of single acting cylinder and servo valve is modeled for a quarter car active suspension system. This model regards the force as an internal state rather than a control input. The control input of the model is the sum of oil flows that pass through the valve's orifices. The resulting dynamic equation in the state space ap-pears a feedback connection of a nominal linear time in-variant term with a nonlinear bounded uncertain block. Since this model makes it possible to eliminate the force control phase, analysis and controller design are made straightforward and simple. Well known LQR method is then applied. Simulation and test rig experiment show the effectiveness of this approach in modeling and control.

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Systematic Dynamic Modeling of an Integrated Single-stage Power Converter

  • Choi, Ki-Young;Lee, Kui-Jun;Kim, Yong-Wook;Kim, Rae-Young
    • Journal of Electrical Engineering and Technology
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    • v.10 no.6
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    • pp.2288-2296
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    • 2015
  • This paper proposes a novel systematic modeling approach for an integrated single-stage power converter in order to predict its dynamic characteristics. The basic strategy of the proposed modeling is substituting the internal converters with an equivalent current source, and then deriving the dynamic equations under a standalone operation using the state-space averaging technique. The proposed approach provides an intuitive modeling solution and simplified mathematical process with accurate dynamic prediction. The simulation and experimental results by using an integrated boost-flyback converter prototype provide verification consistent with theoretical expectations.