• Title/Summary/Keyword: Rosenbrock method

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Comparative Analysis of Parameter Estimation Methods for the Storage Function Model (저류함수모형의 매개변수 산정방법들에 대한 비교 분석)

  • Song JaeHyun;Kim HungSoo;Hong IlPyo;Kim SangUg
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.731-736
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    • 2005
  • 현재 국내 주요 하천의 홍수예경보시스템 운영과 다목적댐의 홍수조절관리를 위하여 수문학적 모형의 하나인 저류함수모형(Storage Function Model)을 사용하고 있다. 저류함수모형은 산지가 많은 유역에 적합하도록 개발된 모형으로, 계산절차가 간편하고 홍수유출의 비선형성을 고려할 수 있는 방법이므로 선형모형보다 합리적이라고 알려져 있다. 그러나 저류함수모형을 실제 홍수유출현상에 적용하는데 있어 매개변수를 결정하는 것이 매우 어렵다. 현재 매개변수들을 결정할 수 있는 객관적이고 합리적인 방법이 제시되어 있지 않기 때문에 모형의 매개변수를 결정할 때 경험식을 이용하거나 수문기술자의 판단에 의한 보정에 의존하고 있다. 따라서, 본 논문에서는 홍수통제소에서 사용하고 있는 저류함수 모형의 대표(평균) 매개변수와 경험식, 시행착오법(trial & error method) 및 최적화기법(optimization technique) 중에 Rosenbrock 방법을 이용하여 매개변수를 산정하고 이들을 비교 분석하고자 한다.

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The Parameters Extraction in Poly TFT Using Optimization Technique (최적화 기법에 의한 다결정 TFT(Thin Film Transistor)의 매개 변수 추출)

  • 김홍배;손상희;박용헌
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.6
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    • pp.582-589
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    • 1991
  • We used Cd Se as the semiconductor to analyze the Poly-TFT. Cd Se TFT is fabricated by the vacuum evaporation method and the characteristics curves of the current-voltage are obtained using the results of measurement of Cd Se TFT devices. Employing least square method and Rosenbrock algorithm, we can extract the device parameters(grain boundary mobility, trap density). The current-voltage relations calculated by extracted parameters are in good agreement with experimental results.

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Development of a back analysis program for reasonable derivation of tunnel design parameters (합리적인 터널설계정수 산정을 위한 역해석 프로그램 개발)

  • Kim, Young-Joon;Lee, Yong-Joo
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.15 no.3
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    • pp.357-373
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    • 2013
  • In this paper, a back analysis program for analyzing the behavior of tunnel-ground system and evaluating the material properties and tunnel design parameters was developed. This program was designed to be able to implement the back analysis of underground structure by combination of using FLAC and optimized algorithm as direct method. In particular, Rosenbrock method which is able to do direct search without obtaining differential coefficient was adopted for the back analysis algorithm among optimization methods. This back analysis program was applied to the site to evaluate the design parameters. The back analysis was carried out using field measurement results from 5 sites. In the course of back analysis, nonlinear regression analysis was carried out to identify the optimum function of the measured ground displacement. Exponential function and fractional function were used for the regression analysis and total displacement calculated by optimum function was used as the back analysis input data. As a result, displacement recalculated through the back analysis using measured displacement of the structure showed 4.5% of error factor comparing to the measured data. Hence, the program developed in this study proved to be effectively applicable to tunnel analysis.

Reliability Based Design Optimization using Moving Least Squares (이동최소자승법을 이용한 신뢰성 최적설계)

  • Park, Jang-Won;Lee, Oh-Young;Im, Jong-Bin;Lee, Soo-Yong;Park, Jung-Sun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.5
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    • pp.438-447
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    • 2008
  • This study is focused on reliability based design optimization (RBDO) using moving least squares. A response surface is used to derive a limit-state equation for reliability based design optimization. Response surface method (RSM) with least square method (LSM) or Kriging will be used as a response surface. RSM is fast to make the response surface. On the other hand, RSM has disadvantage to make the response surface of nonlinear equation. Kriging can make the response surface in nonlinear equation precisely but needs considerable amount of computations. The moving least square method (MLSM) is made of both methods (RSM with LSM+Kriging). Numerical results by MLSM are compared with those by LMS in Rosenbrock function and six-hump carmel back function. The RBDO of engine duct of smart UAV is pursued in this paper. It is proved that RBDO is useful tool for aerospace structural optimal design problems.

A Proposal of Descent Multi-point Search Method and Its Learning Algorithm for Optimum Value (최적치 계산을 위한 점감다점탐색법과 그 학습 알고리즘의 제안)

  • 김주홍;공휘식;이광직
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.8
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    • pp.846-855
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    • 1992
  • In this paper, the decrease multipoint search method and Its learning algorithm for optimum value computatlon method of object function Is proposed. Using this method, the number of evaluation point according to searching time can t)e reduced multipoint of the direct search method by applying the unlivarlate method. And the learning algorithm can reprat the same search method in a new established boundary by using the searched result. In order to Investigate the efficience of algorithm, this method this method is applied to Rosenbrock and Powell, Colvelle function that are Impossible or uncertain in traditional direct search method. And the result of application, the optimum value searching oil every function Is successful. Especially, the algorithm is certified as a good calculation method for producing global(absolute) optimum value.

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Parameters Study of Linear Reservoir Models for Rainfall-Runoff Response (강우-유출에 대한 선형저수지 모형의 매개변수 연구)

  • Seo, Yeong-Je;Kim, Jin-Gyu;Park, Hyeon-Ju
    • Journal of Korea Water Resources Association
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    • v.32 no.6
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    • pp.711-720
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    • 1999
  • In this study, a various rainfall-runoff modelling approaches have been applied to the runoff response of flood hydrograph in three experimental watershed of the western part of korea. Mathematical models of runoff response also have been studied including linear system theory based on modeling techniques. Eight models were operated at the five water level gauging stations and the parameters of each model were computed by the Rosenbrock's hill climbing method to minimize the objective function. For the parameter verification of the models, a different complex rainfall-runoff event was selected in the same of the three river basins and derived IUH of the each model could be calibrated. Furthermore multiple regressions of the logarithmic transformation method between model parameters and catchment characteristics were studied in the selected five station.

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Robust Multiloop Controller Design of Uncertain Affine TFM(Transfer Function Matrix) System (불확실한 Affine TFM(Transfer Function Matrix) 시스템의 강인한 다중 루프 제어기 설계)

  • Byun Hwang-Woo;Yang Hai-Won
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.1
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    • pp.17-25
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    • 2005
  • This paper provides sufficient conditions for the robustness of Affine linear TFM(Transfer Function Matrix) MIMO (Multi-Input Multi-Output) uncertain systems based on Rosenbrock's DNA (Direct Nyquist Array). The parametric uncertainty is modeled through a Affine TFM MIMO description, and the unstructured uncertainty through a bounded perturbation of Affine polynomials. Gershgorin's theorem and concepts of diagonal dominance and GB(Gershgorin Bands) are extended to include model uncertainty. For this type of parametric robust performance we show robustness of the Affine TFM systems using Nyquist diagram and GB, DNA(Direct Nyquist Array). Multiloop PI/PB controllers can be tuned by using a modified version of the Ziegler-Nickels (ZN) relations. Simulation examples show the performance and efficiency of the proposed multiloop design method.

Mutual Detectability and System Enlargement of Detection Filters: An Invariant Zero Approach

  • Kim, Yong-Min;Park, Jae-Hong
    • International Journal of Control, Automation, and Systems
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    • v.4 no.6
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    • pp.769-774
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    • 2006
  • In this paper, we discuss the problem of non-mutual detectability using the invariant zero. We propose a representation method for excess spaces by linear equation based on the Rosenbrock system matrix. As an alternative to the system enlargement method proposed by White[1], we propose an appropriate form of an enlarged system to make a set of faults mutually detectable by assigning sufficient geometric multiplicity of invariant zeros. We show the equivalence between the two methods and a necessary condition for the system enlargement in terms of the geometric and algebraic multiplicities of invariant zeros.

Efficiency Optimization with Sliding Mode Observer for Induction Motor (슬라이딩 모드 관측기를 이용한 유도전동기의 효율 최적화)

  • Lee, Sun-Young;Park, Ki-Kwang;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 2009.04a
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    • pp.74-76
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    • 2009
  • In this paper, search method and sliding mode observer are developed for efficiency optimization of induction motor. The proposed control scheme consists of efficiency controller and adaptive backstepping controller. A search controller for which information of input of fuzzy controller is included in efficiency controller that uses a direct vector controlled induction motor. The search controller is based on the "Rosenbrock" method and finds the flux level at the minimum input power of induction motor. Once this optimal flux level has been determined, this information is utilized to update the rule base of a fuzzy controller A sliding mode observer is designed to estimate rotor flux and an adaptive backstepping controller is also used to compensate for mechanical uncertainties in the speed control of induction motor. Simulation results are presented to validate the proposed controller.

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Controller Design and Stability Analysis of Affine System with Dead-Time (불감시간을 갖는 Affine 시스템의 안정도 해석과 제어기 설계)

  • Yang Hai-Won;Byun Hwang-Woo
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.2
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    • pp.93-102
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    • 2005
  • The Nyquist robust stability margin is proposed as a measure of robust stability for systems with Affine TFM(Transfer Function Matrix) parametric uncertainty. The parametric uncertainty is modeled through a Affine TFM MIMO (Multi-Input Multi-Output) description with dead-time, and the unstructured uncertainty through a bounded perturbation of Affine polynomials. Gershgorin's theorem and concepts of diagonal dominance and GB(Gershgorin Bands) are extended to include model uncertainty. Multiloop PI/PID controllers can be tuned by using a modified version of the Ziegler-Nichols (ZN) relations. Consequently, this paper provides sufficient conditions for the robustness of Affine TFM MIMO uncertain systems with dead-time based on Rosenbrock's DNA. Simulation examples show the performance and efficiency of the proposed multiloop design method for Affine uncertain systems with dead-time.