• Title/Summary/Keyword: nonlinear prediction

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Adaptive Predictive Control using Multiple Models, Switching and Tuning

  • Giovanini Leonardo;Ordys Andrzej W.;Grimble Michael J.
    • International Journal of Control, Automation, and Systems
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    • v.4 no.6
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    • pp.669-681
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    • 2006
  • In this work, a new method of design adaptive controllers for SISO systems based on multiple models and switching is presented. The controller selects the model from a given set, according to a switching rule based on output prediction errors. The goal is to design, at each sample instant, a predictive control law that ensures the robust stability of the closed-loop system and achieves the best performance for the current operating point. At each sample the proposed control scheme identifies a set of linear models that best characterizes the dynamics of the current operating region. Then, it carries out an automatic reconfiguration of the controller to achieve the best possible performance whilst providing a guarantee of robust closed-loop stability. The results are illustrated by simulations a nonlinear continuous and stirred tank reactor.

A Mechanical Model of the End Anchorage Zone of Prestressed Concrete Members

  • Kang, Won-Ho;You, Young-Min;Oh, Seung-Hyun;Lee, Sang-Woo
    • International Journal of Concrete Structures and Materials
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    • v.18 no.1E
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    • pp.35-41
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    • 2006
  • It is expected that recent development of mechanical models will soon supersede previous empirical methods of detailing. In this study, a mechanical model is proposed to analyze the behavior of the anchorage zone of prestressed concrete members. The main characteristics of the proposed model lies in its rational consideration of material properties such as concrete strength in biaxial stress state and that of local zone reinforced by spirals. The shear friction strength of concrete surrounding a spiral is also considered. The computational results of the proposed model as well as the existing Strut-and-Tie model(STM) and nonlinear finite element analysis are compared with experimental results. The results of the comparison revealed that the proposed model showed better prediction of the failure mode as well as the failure load. Additionally, the proposed model also explained the three-dimensional failure mechanism very well, while other methods based on two-dimensional analysis could not do so well.

NUMERICAL SOLUTION OF STOCHASTIC DIFFERENTIAL EQUATION CORRESPONDING TO CONTINUOUS DISTRIBUTIONS

  • Amini, Mohammad;Soheili, Ali Reza;Allahdadi, Mahdi
    • Communications of the Korean Mathematical Society
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    • v.26 no.4
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    • pp.709-720
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    • 2011
  • We obtain special type of differential equations which their solution are random variable with known continuous density function. Stochastic differential equations (SDE) of continuous distributions are determined by the Fokker-Planck theorem. We approximate solution of differential equation with numerical methods such as: the Euler-Maruyama and ten stages explicit Runge-Kutta method, and analysis error prediction statistically. Numerical results, show the performance of the Rung-Kutta method with respect to the Euler-Maruyama. The exponential two parameters, exponential, normal, uniform, beta, gamma and Parreto distributions are considered in this paper.

Neural Networks Based Identification and Control of a Large Flexible Antenna

  • Sasaki, Minoru;Murase, Takuya;Ukita, Nobuharu
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1711-1716
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    • 2004
  • This paper presents identification and control of a 10-m antenna via accelerometers and angle encoder data. Artificial Neural Networks can be used effectively for the identification and control of nonlinear dynamical system such as a large flexible antenna. Some identification results are shown and compared with the results of conventional prediction error method. And we use a neural network inverse model for control the large flexible antenna. In the neural network inverse model, a neural network is trained, using supervised learning, to develop an inverse model of the antenna. The network input is the process output, and the network output is the corresponding process input. The control results show the validation of the ANN approach for identification and control of the 10-m flexible antenna.

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The Structural Design for Nonlinear Hyperelastic Materials Based on CFD (CFD 기반의 비선형 초탄성 재료의 구조 설계)

  • Jung Dae-Seok;Kim Ji-Young;Lee Jong-Moon;Park Young-Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.4 s.247
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    • pp.379-386
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    • 2006
  • The hyper-elastic material has been used gradually and its range was extended all over the industry. The performance prediction of hyper-elastic material was required not only experimental methods but also numerical methods. In this study, we presented the process how to use numerical method for hyper-elastic material and applied it to seat-ring of butterfly valve. The finite element analysis was executed to evaluate the mechanical characteristics of hyper-elastic material. And the optimum model considered conditions and features. According to that model, the load conditions were obtained by using CFD analysis.

Predictions of Microscale Separated Flow using Langmuir Slip Boundary Condition (Langmuir 미끄럼 경계조건을 이용한 미소 박리유동의 예측)

  • Lee, Do-Hyung;Meang, Joo-Sung;Choi, Hyung-Il;Na, Wook-Sang
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.8
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    • pp.1097-1104
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    • 2003
  • The current study analyzes Langmuir slip boundary condition theoretically and it is tested in practical numerical analysis for separation-associated flow. Slip phenomenon at the channel wall is properly implemented by various numerical slip boundary conditions including Langmuir slip model. Compressible backward-facing step flow is compared to other analysis results with the purpose of diatomic gas Langmuir slip model validation. The numerical solutions of pressure and velocity distributions where separation occurs are in good agreement with other numerical results. Numerical analysis is conducted for Reynolds number from 10 to 60 for a prediction of separation at T-shaped micro manifold. Reattachment length of flows shows nonlinear distribution at the wall of side branch. The Langmuir slip model predicts fairly the physics in terms of slip effect and separation.

Development of Low-Reynolds-Number Ssecond Moment Turbulence Closure by DNS Data (DNS 자료에 의한 저레이놀즈수 2차 모멘트 난류모형의 개발)

  • Sin, Jong-Geun;Choe, Yeong-Don
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.8
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    • pp.2572-2592
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    • 1996
  • A low-Reynolds-number second moment turbulence closure was developed with the aid of DNS data. Model coefficients of nonlinear return to isotropy term were derived by use of Cayley-Hamilton theorem and two component turbulence limit condition as the functions of invariances of anisotropy and turbulent Reynolds number. Launder and Tselepidakis' cubic mean pressure strain model was modified to fit the predicted pressure-strain components to the DNS data. Two component turbulence limit condition was the precondition to be satisfied in developing the second moment turbulence closure for the realizable Reynolds stress prediction. But the satisfactions of Reynolds stress level and pressure-strain level of each component were compromised because the satisfaction of both levels was impossible.

Higher Order Spectra and Their Application to Mechanical Systems(II) -Analysis on the Interactions of Harmonics in Exhaust Pipe of Engines- (고차스펙트럼과 기계적 시스템의 응용연구(2)-기관 배기관내의 조화파 상호작용 해석-)

  • 이준서;차경옥
    • Transactions of the Korean Society of Automotive Engineers
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    • v.8 no.4
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    • pp.85-92
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    • 2000
  • The pulsating pressure waves are composed of fundamental frequency and higher order harmonics in exhaust pipe of engines. The nonlinearity in exhaust pipe is caused by their interactions. The error which is between prediction and measurement is induced by the nonlinearity. We can not explain this phenomenon using linear acoustic theory which is existing theory. So power spectrum which was used in linear theory is not useful. Bispectrum and bicoherence functions which are a higher order spectrum are applicable to explain this phenomenon. This paper proposes a nonlinear effect of pulsating pressure waves. The phenomenon proposed here is identified by using of higher order spectrum density functions.

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Prediction of Concrete Strength by a Modified Rate Constant Model (수정 반응률 상수 모델에 의한 콘크리트의 강도의 예측)

  • 한상훈;김진근
    • Proceedings of the Korea Concrete Institute Conference
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    • 1999.10a
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    • pp.155-158
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    • 1999
  • This paper discusses the validity of models to predict the compressive strength of concrete subjected to various temperature histories and the shortcomings of existing rate constant model and apparent activation energy concept. Based on the discussion, a modified rate constant model is proposed. The modified rate constant model, in which apparent activation energy is a nonlinear function of curing temperature and age, accurately estimates the development of the experimental compressive strengths by a few researches. Also, the apparent activation energy of concrete cured with high temperature decreases rapidly with age, but that cured with low temperature decreases gradually with age. Finally a generalized model to predict apparent activation energy and compressive strength is proposed, which is based on the regression results.

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The Estimation of the Depth of Anesthetic Using Higher-Order Spectrum Analysis of EEG Signals

  • Park, Jong-Duk;Ye, Soo-Young;Jeon, Gye-Rok;Huh, Young
    • Journal of Biomedical Engineering Research
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    • v.28 no.2
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    • pp.287-293
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    • 2007
  • The researchers have studied for a long time about the depth of anesthesia but they don't make criteria for the depth of anesthesia. Anesthetists can't make a prediction about patient's reaction. Therefore, patients have potential risk such as poisonous side effect, late-awake, early-awake and strain reaction. In this study, the distributed characteristics on the bispectrum and bicoherence, the type of nonlinear signal processing, as a result of the coupling of EEG were presented according to depth of anesthesia. These results were consistent with a trend of delta ratio that the index of evaluation for the depth of anesthesia. The higher-order spectrum (HOS), the bispectrum and bicoherence, gives the useful information about depth of anaesthesia than other indexes.