• Title/Summary/Keyword: State Approximation

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Analysis of a Tunnel-Diode Oscillator Circuit by Predictor-Corrector Method (프레딕터.코렉터방법에 의한 터널다이오드 발진회로의 해석)

  • 이정한;차균현
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.10 no.6
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    • pp.45-55
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    • 1973
  • This paper discusses the nonlinear time-invarient circuit composed of a tunnel diode. Prior to determine the solution of the nonlinear network which has negative resistance elements, the static characteristics of the nonlinear resistance elements need to be represented by function. Polynomial curve fitting is discussed to represent the static characteristies by least squares approximation. In order to solve the nonlinear network, the state equations for the networks are set up and solved by prediction corrector method. Finally, the limit cycle is plotted to discuss the stability of the nonlinear network and the oscillation condition.

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State-Matching Properties and Stability of Redesigned Fuzzy Digital Control System (근사 이산화 모델들을 이용한 재설계된 퍼지 디지털 제어시스템의 상태-정합 특성 몇 안정도)

  • Kim, Do-Wan;Ju, Yeong-Hun;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.04a
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    • pp.409-412
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    • 2007
  • 본 논문에서는 근사 이산-시간 모델 기반 지능형 디지털 재설계 기법의 타당성에 대해서 논의한다. 타당성을 검증하기 위해 재설계된 디지털 제어 퍼지 시스템의 안정도 및 상태-정합에 특성이 분석된다. 구체적으로 근사 이산-시간 모델들의 상태 사이의 비정합의 크기가 충분히 작으면 재설계된 디지털 제어 퍼지 시스템의 평형점은 점근적 안정함을 보인다. 또한 이러한 비정합이 영으로 수렴함에 따라 재설계된 디지털 제어 퍼지 시스템과 주어진 아날로그 제어시스템 사이의 비정합은 매우 작아짐을 보인다.

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Fuzzy Model-Based Digital Controller Using Dual-Rate Sampling (듀얼레이트 샘플링을 이용한 퍼지 모델 기반 디지털 제어기)

  • 김도완;주영훈;박진배
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09b
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    • pp.129-132
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    • 2003
  • This paper proposes a novel and efficient intelligent digital redesign technique for a Takagi-Sugeno (TS) fuzzy system. The term of intelligent digital redesign involves converting an existing analog fuzzy-model-based controller into an equivalent digital counterpart in the sense of state matching. In this paper, we suggest the discretization method based on the dual-rate sampling approximation is first proposed, and then attempt to globally match the states of the overall closed-loop TS fuzzy system with the pre-designed analog fuzzy-model-based controller and those with the digitally redesigned fuzzy-model-based controller. To show the feasibility and the effectiveness of the proposed method, a computer simulation is provided.

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Prediction of Continuous Reactors Performance Based on Batch Reactor Deactivation Kinetics Data of Immobilized Lipase

  • Murty, V.Ramachandra;Bhat, Jayadev;Muniswaran, P.K.A.
    • Biotechnology and Bioprocess Engineering:BBE
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    • v.7 no.4
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    • pp.225-230
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    • 2002
  • Experiments on deactivation kinetics of immobilized lipase enzyme from Candida cyl-indracea were performed in stirred bath reactor using rice bran oil as the substrate and temperature as the deactivation parameter. The data were fitted In first order deactivation model. The effect of temperature on deactivation rate was represented by Arrhenius equation. Theoretical equations were developed based on pseudo-steady state approximation and Michaelis -Menten rate expression to predict the time course of conversion due to enzyme deactivation and apparent half-life of the immobilized enzyme activity in PFR and CSTH under constant feed rate polity for no diffusion limitation and diffusion limitation of first order. Stability of enzyme in these continuous reactors was predicted and factors affecting the stability were analyzed.

DEFAULTABLE BOND PRICING USING REGIME SWITCHING INTENSITY MODEL

  • Goutte, Stephane;Ngoupeyou, Armand
    • Journal of applied mathematics & informatics
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    • v.31 no.5_6
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    • pp.711-732
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    • 2013
  • In this paper, we are interested in finding explicit numerical formulas to evaluate defaultable bonds prices of firms. For this purpose, we use a default intensity whose values depend on the credit rating of these firms. Each credit rating corresponds to a state of the default intensity. Then, this regime switches as soon as one of the credit rating of a firm also changes. Moreover, this regime switching default intensity model allows us to capture well some market features or economics behaviors. Thus, we obtain two explicit different formulas to evaluate the conditional Laplace transform of a regime switching Cox Ingersoll Ross model. One using the property of semi-affine of the model and the other one using analytic approximation. We conclude by giving some numerical illustrations of these formulas and real data estimation results.

Applications of recently proposed closure approximations to injection molding filling simulation of short-fiber reinforced plastics

  • Chung, Du-Hwan;Kwon, Tai-Hun
    • Korea-Australia Rheology Journal
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    • v.12 no.2
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    • pp.125-133
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    • 2000
  • The present work is aimed at performing injection molding filling simulation of fiber suspension in polymer based matrix. The numerical simulation incorporates the coupling effect between the flow field and the fiber orientation state together with in-plane velocity gradient effect with recently proposed closure approximations. Predicted orientation components are compared with available experimental data of a film-gated strip and a center-gated disk. Predictions with IBOF closure approximation show excellent behaviors with regard to accuracy and numerical efficiency. However, predicted results seem to have consistent errors in comparison with experimental data. Diffusivity term which accounts for fiber-fiber interaction might have to be modified.

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Wind Mapping of Singapore Using WindSim (WindSim을 이용한 싱가폴 바람지도 작성)

  • Kim, Hyun-Goo;Lee, Jia-Hua
    • Journal of Environmental Science International
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    • v.20 no.7
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    • pp.839-843
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    • 2011
  • We have established a wind map of Singapore, a city-state characterized its land cover by urban buildings to confirm a possibility of wind farm development. As a simple but useful approximation of urban canopy, a zero-plane displacement concept was employed. The territory is divided into 15 sectors having similar urban building layouts, and zero-plane displacement, equivalent roughness height at each sector was calculated to setup a terrain boundary condition. Annual mean wind speed and mean wind power density map were drawn by a CFD micrositing model, WindSim where Changi International Airport wind data was used as an in-situ measurement. Unfortunately, predicted wind power density does not exceed 80 $W/m^2$ at 50 m above ground level which would not sufficient for wind power generation. However, the established Singapore wind map is expected to be applied for wind environment assessment and urban planning purpose.

A 3-D Wing Aerodynamic Design Optimization Considering Uncertainty Effects (불확실성 요소들을 고려한 3차원 날개의 공력 최적설계)

  • Ahn Joongki;Kim Suhwan;Kwon Jang Hyuk
    • 한국전산유체공학회:학술대회논문집
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    • 2004.03a
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    • pp.9-16
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    • 2004
  • This study presents results of aerodynamic wing optimization under uncertainties. To consider uncertainties, an alternative strategy for reliability-based design optimization(RBDO) is developed. The strategy utilizes a single loop algorithm and a sequential approximation optimization(SAO) technique. The SAO strategy relies on the trust region-SQP framework which validates approximated functions at every iteration. Further improvement in computational efficiency is achieved by applying the same sensitivity of limit state functions in the reliability analysis and in the equivalent deterministic constraint calculation. The framework is examined by solving an analytical test problem to show that the proposed framework has the computational efficiency over existing methods. The proposed strategy enables exploiting the RBDO technique in aerodynamic design. For the aerodynamic wing design problem, the solution converges to the reliable point satisfying the probabilistic constraints.

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Robust Adaptive Output Feedback Controller Using Fuzzy-Neural Networks for a Class of Uncertain Nonlinear Systems (퍼지뉴럴 네트워크를 이용한 불확실한 비선형 시스템의 출력 피드백 강인 적응 제어)

  • Hwang, Young-Ho;Lee, Eun-Wook;Kim, Hong-Pil;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.187-190
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    • 2003
  • In this paper, we address the robust adaptive backstepping controller using fuzzy neural network (FHIN) for a class of uncertain output feedback nonlinear systems with disturbance. A new algorithm is proposed for estimation of unknown bounds and adaptive control of the uncertain nonlinear systems. The state estimation is solved using K-fillers. All unknown nonlinear functions are approximated by FNN. The FNN weight adaptation rule is derived from Lyapunov stability analysis and guarantees that the adapted weight error and tracking error are bounded. The compensated controller is designed to compensate the FNN approximation error and external disturbance. Finally, simulation results show that the proposed controller can achieve favorable tracking performance and robustness with regard to unknown function and external disturbance.

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A Controller Design of a Magnetic Levitation System (자기부상 시스템의 제어기 설계)

  • Ha, Y.W.
    • Journal of Power System Engineering
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    • v.4 no.3
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    • pp.62-71
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    • 2000
  • A mathematical modeling for a magnetic levitation system is proposed using the Taylor series expansion of differential function for obtaining linearity. It is confirmed that this kind of linear approximation method can be used to the modeling of a magnetic levitation system. The two-degree-of-freedom optimal servo system for a constant reference signal is proposed using the LQ optimization technique. An additional state feedback is introduced at the output of the integrator to cancel the integral action for reference signal if there is no modeling error of the plant and no disturbance input to the plant. When the modeling error or the disturbance input exists, the integral effect appears. The system has a free parameter which can b used to tune the effect of the integral compensation.

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