• 제목/요약/키워드: Optimal Parameter

검색결과 1,851건 처리시간 0.027초

An optimal regularization for structural parameter estimation from modal response

  • Pothisiri, Thanyawat
    • Structural Engineering and Mechanics
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    • 제22권4호
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    • pp.401-418
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    • 2006
  • Solutions to the problems of structural parameter estimation from modal response using leastsquares minimization of force or displacement residuals are generally sensitive to noise in the response measurements. The sensitivity of the parameter estimates is governed by the physical characteristics of the structure and certain features of the noisy measurements. It has been shown that the regularization method can be used to reduce effects of the measurement noise on the estimation error through adding a regularization function to the parameter estimation objective function. In this paper, we adopt the regularization function as the Euclidean norm of the difference between the values of the currently estimated parameters and the a priori parameter estimates. The effect of the regularization function on the outcome of parameter estimation is determined by a regularization factor. Based on a singular value decomposition of the sensitivity matrix of the structural response, it is shown that the optimal regularization factor is obtained by using the maximum singular value of the sensitivity matrix. This selection exhibits the condition where the effect of the a priori estimates on the solutions to the parameter estimation problem is minimal. The performance of the proposed algorithm is investigated in comparison with certain algorithms selected from the literature by using a numerical example.

Asymmetrically Reweighted Penalized Least Squares을 이용한 기준선 보정에서 최적 매개변수 자동 선택 방법 (Automatic Selection of Optimal Parameter for Baseline Correction using Asymmetrically Reweighted Penalized Least Squares)

  • 박아론;백성준;박준규;서유경;원용관
    • 전자공학회논문지
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    • 제53권3호
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    • pp.124-131
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    • 2016
  • 분광법을 이용한 많은 응용에서 스펙트럼 데이터의 기준선 보정은 분석 시스템의 성능을 좌우하는 매우 중요한 과정이다. 기준선은 많은 경우에 육안 검사로 매개변수를 선택하여 추정한다. 이 과정은 매우 주관적이고 특히 대량의 데이터인 경우 지루한 작업을 동반하므로 좋은 분석 결과를 보장하기 어렵다. 이러한 이유로 기준선 보정에서 최적의 매개변수를 자동으로 선택하기 위한 객관적인 방법이 필요하다. 이전의 연구에서 PLS(penalized least squares) 방법에 새로운 가중 방식을 도입하여 기준선을 추정하는 arPLS(asymmetrically reweighted PLS) 방법을 제안하였다. 본 연구에서는 arPLS 방법에서 최적의 매개변수를 자동으로 선택하는 방법을 제안한다. 이 방법은 가능한 매개변수의 범위에서 추정한 기준선의 적응도와 평활도를 계산한 다음 정규화한 적응도와 평활도의 합이 최소가 되는 매개변수를 선택한다. 경사 기준선, 곡선 기준선, 이중 곡선 기준선의 모의실험 데이터와 실제 라만 스펙트럼을 이용한 실험에서 제안한 방법이 기준선 보정을 위한 최적 매개변수의 선택에 효과적으로 적용될 수 있음을 확인하였다.

범주형 품질특성의 최적설계 사례연구 (Case Studies on the Optimal Parameter Design with Respect to Categorial Characteristics)

  • 박종인;배석주;김만수
    • 산업경영시스템학회지
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    • 제32권3호
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    • pp.135-141
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    • 2009
  • A variety of statistical methods are applied to model and optimize responses, related to product or system's quality, in terms of control and noise factors at design and manufacturing stages. Most of them assume continuous response variables but, assessing the performance of a product or system often involves categorical observations, such as ratings and scores. Although most previous works to deal with the categorical data provide sorhisticated response models and ensure unbiased outcomes, they require heavy computation to estimate the model parameters, as well as enough replications. In this study, we present some practical approaches for optimal parameter design with ordered categorical response when only a few or no replication is available. Two real-life examples are given to illustrate the presented methods.

팰리배열 월쉬함수를 이용한 정속 이동 금속판의 열교환 최적제어에 관한 연구 (A Study on Optimal Control of Heat Exchange of Thin Metal Moving at Constant Velocity Via the Paley Order of Walsh Functions)

  • 김태훈;이명규;안두수
    • 대한전기학회논문지:시스템및제어부문D
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    • 제50권11호
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    • pp.514-521
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    • 2001
  • This paper uses the distributed heating thin metal moving at constant velocity which are modeled as distributed parameter systems, and applies the Paley order of Walsh functions to high order partial differential equations and matrix partial differential equations. This thesis presents a new algorithm which usefully exercises the optimal control in the distributed parameter systems. In this paper, the excellent consequences are found without using the existing decentralized control or hierarchical control method.

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OPTIMALITY CONDITIONS AND DUALITY MODELS FOR MINMAX FRACTIONAL OPTIMAL CONTROL PROBLEMS CONTAINING ARBITRARY NORMS

  • G. J., Zalmai
    • 대한수학회지
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    • 제41권5호
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    • pp.821-864
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    • 2004
  • Both parametric and parameter-free necessary and sufficient optimality conditions are established for a class of nondiffer-entiable nonconvex optimal control problems with generalized fractional objective functions, linear dynamics, and nonlinear inequality constraints on both the state and control variables. Based on these optimality results, ten Wolfe-type parametric and parameter-free duality models are formulated and weak, strong, and strict converse duality theorems are proved. These duality results contain, as special cases, similar results for minmax fractional optimal control problems involving square roots of positive semi definite quadratic forms, and for optimal control problems with fractional, discrete max, and conventional objective functions, which are particular cases of the main problem considered in this paper. The duality models presented here contain various extensions of a number of existing duality formulations for convex control problems, and subsume continuous-time generalizations of a great variety of similar dual problems investigated previously in the area of finite-dimensional nonlinear programming.

다특성 파라미터설계 방법의 비교 연구 (A Comparison of Parameter Design Methods for Multiple Performance Characteristics)

  • 소우진;염봉진
    • 대한산업공학회지
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    • 제38권3호
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    • pp.198-207
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    • 2012
  • In product or process parameter design, the case of multiple performance characteristics appears more commonly than that of a single characteristic. Numerous methods have been developed to deal with such multi-characteristic parameter design (MCPD) problems. Among these, this paper considers three representative methods, which are respectively based on the desirability function (DF), grey relational analysis (GRA), and principal component analysis (PCA). These three methods are then used to solve the MCPD problems in ten case studies reported in the literature. The performance of each method is evaluated for various combinations of its algorithmic parameters and alternatives. Relative performances of the three methods are then compared in terms of the significance of a design parameter and the overall performance value corresponding to the compromise optimal design condition identified by each method. Although no method is significantly inferior to others for the data sets considered, the GRA-based and PCA-based methods perform slightly better than the DF-based method. Besides, for the PCA-based method, the compromise optimal design condition depends much on which alternative is adopted while, for the GRA-based method, it is almost independent of the algorithmic parameter, and therefore, the difficulty involved in selecting an appropriate algorithmic parameter value can be alleviated.

선형계통의 파라미터 추정을 위한 최적 입력의 설계 (Design of the optimal inputs for parameter estimation in linear dynamic systems)

  • 양흥석;이석원;정찬수
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1986년도 한국자동제어학술회의논문집; 한국과학기술대학, 충남; 17-18 Oct. 1986
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    • pp.73-77
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    • 1986
  • Optimal input design problem for linear regression model with constrained output variance has been considered. It is shown that the optimal input signal for the linear regression model can also be realized as an ARMA process. Monte-Carlo simulation results show that the optimal stochastic input leads to comparatively better estimation accuracy than white input signal.

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Effective Determination of Optimal Regularization Parameter in Rational Polynomial Coefficients Derivation

  • Youn, Junhee;Hong, Changhee;Kim, TaeHoon;Kim, Gihong
    • 한국측량학회지
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    • 제31권6_2호
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    • pp.577-583
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    • 2013
  • Recently, massive archives of ground information imagery from new sensors have become available. To establish a functional relationship between the image and the ground space, sensor models are required. The rational functional model (RFM), which is used as an alternative to the rigorous sensor model, is an attractive option owing to its generality and simplicity. To determine the rational polynomial coefficients (RPC) in RFM, however, we encounter the problem of obtaining a stable solution. The design matrix for solutions is usually ill-conditioned in the experiments. To solve this unstable solution problem, regularization techniques are generally used. In this paper, we describe the effective determination of the optimal regularization parameter in the regularization technique during RPC derivation. A brief mathematical background of RFM is presented, followed by numerical approaches for effective determination of the optimal regularization parameter using the Euler Method. Experiments are performed assuming that a tilted aerial image is taken with a known rigorous sensor. To show the effectiveness, calculation time and RMSE between L-curve method and proposed method is compared.

최적 주속비 구간에서 로터속도 비선형 파라미터를 이용한 풍력터빈의 토크제어 (Torque Control of Wind Turbine Using Nonlinear Parameter of Rotor Speed in the Region of Optimal Tip Speed Ratio)

  • 임채욱;김상균
    • 한국유체기계학회 논문집
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    • 제15권2호
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    • pp.30-35
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    • 2012
  • Aerodynamic torque of wind turbine has nonlinear properties. Nonlinearity of aerodynamic torque is very important in wind turbine in the aspect of control. The traditional torque control method using optimal mode gain has been applied in many wind turbines but its response is slower as wind turbine size is larger. In this paper, a torque control method using a nonlinear parameter of rotor speed among nonlinear properties of aerodynamic torque. Simulink model is implemented to obtain the nonlinear parameter of rotor speed and numerical simulations for a 2MW wind turbine are carried out and simulation results for the traditional and proposed torque control methods are compared.

DTC에 의한 공정 파라메터 추출 및 제작된 소자의 특성 (Characteristics of Fabricated Devices and Process Parameter Extraction by DTC)

  • 서용진;이철인;최현식;김태형;최동진;장의구
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 1993년도 추계학술대회 논문집
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    • pp.29-34
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    • 1993
  • In this paper, we used one-dimensional process simulator, SUPREM-II, and two-dimensional device simulator, MINIMOS 4.0 to extract optimal process parameter that can minimize degradation of device characteristics caused by process parameter variation in the case of short channel nMOSFET and pMOSFET device. From this simulation, we have derieved the relationship between process parameter and device characteristics. Here we have presented a method to extract process parameters from design trend curve(DTC) obtained by process and device simulations. We parameters to verify the validity of the DTC method. The experimental result of 0.8 $\mu\textrm{m}$ channel length devices that have been fabricated with optimal that reduces short channel effects, that is, good drain current-voltage characteristics, low body effects and threshold voltage of 1.0 V, high punchthrough and breakdown voltage of 12 V, low subthreshold swing(S.S) values of 105 mV/decade.

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