• 제목/요약/키워드: gradient method

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Explicit M.R.A.C. 알고리즘을 이용한 직류 전동기 속도 제어 (D.C. Motor Speed control Using Explicit M.R.A.C. Algorithms)

  • 김종환;박준렬;최계근
    • 대한전자공학회논문지
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    • 제20권6호
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    • pp.11-17
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    • 1983
  • 본 연구는 explicit M.K.A.C. 알고리즘으로 마이크로프로세서를 사용하여 직류전동기 속도 제어를 하였다. 실험에 사용된 적응 제어 알고리즘으로는 먼저 지수함수적 가중 최소사승법 (exponentially wighted least square method: E.W.L.S) 알고리즘의 계산상의 불안정과 수행시간을 최소로 하기 위하여 시간 지연이 있는 E.W.L.S.알고리즘에 EDUt-_인수화법을 도입한 UDUt-인수화법 알고리즘을 사용하였고, 또한 gradient-type의 알고리즘으로도 초기에 dtatl-zollr을 갖는 직류전동기를 효과적으로 제어하기 위하여 gradient-type의 알고리즘에 smoothing polynomal과 상수ℓ을 사용한 SM gradient-쇼pe의 알고리즘을 제안하였다. UDTt인수화법 알고리즘을 적용한 결과 수행시간이 단축되었으며, SM gradient-type의 알고리즘의 경우는 dead-zone을 위한 기동전압을 사용하지 않고도 효과적인 속도제어를 할 수 있음을 확인하였다.

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가속 Uzawa 방법을 이용한 유도전하계산법 (Induced Charge Distribution Using Accelerated Uzawa Method)

  • 김재현;조광현;하윤도
    • 한국전산구조공학회논문집
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    • 제34권4호
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    • pp.191-197
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    • 2021
  • 분자동역학에서의 원자들의 유도전하를 계산하기 위해서는 유도전하를 미지수로 하는 선형방정식을 풀어야 하는데 원자들의 위치가 변화할 때마다 필요한 계산이므로 상당한 계산비용이 요구된다. 따라서 효율적인 유도전하 계산 방법은 다양한 시스템을 해석하기 위해서 필수적이다. 본 연구에서는 constraints가 존재하는 Lagrange 방정식의 해에 대한 선형 시스템, 즉 saddle point를 가지는 문제를 해결하기 위해서 Uzawa method를 도입하였다. Uzawa 매개변수가 수렴 속도에 영향을 미치는 단점을 극복하고 행렬 연산의 효율성을 위해서 Schur complement와 preconditioned conjugate gradient (PCG) 방법을 통해 계산의 효율성을 극대화하는 가속 Uzawa algorithm을 적용한다. 두 금속 나노입자가 전기장에 놓여진 분자동역학 수치모델을 통해서 제시된 방법이 유도전하계산의 수렴성, 효율성 측면에서 모두 향상된 결과를 도출함을 확인하였다. 특히 기존의 가우스 소거법에 의한 계산보다 약 1/10으로 계산비용이 절감되었고, 기본 Uzawa method에 비하여 conjugate gradient (CG)의 높은 수렴성이 입증되었다.

Structure Optimization of Solute Molecules via Free Energy Gradient Method

  • Nagaoka, Masataka
    • Bulletin of the Korean Chemical Society
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    • 제24권6호
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    • pp.805-808
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    • 2003
  • Fundamental ideas of the free energy gradient method are briefly reviewed with three applications: the stable structures of glycine and ammonia-water molecule pair in aqueous solution and the transition state (TS) structure of a Menshutkin reaction $NH_3 + CH_3Cl → CH_3NH_3^+ + Cl^-$ in aqueous solution, which is the first example of full TS optimization of all internal degrees of freedom.

Gradient Projection법을 이용한 철골평면구조물의 최적설계연구 (Study on Optimum Design of Steel Plane Frame By Using Gradient Projection Method)

  • LEE HAN-SEON;HONG SUNG-MOK
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1994년도 봄 학술발표회 논문집
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    • pp.38-45
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    • 1994
  • The general conceptual constitution of structural optimization is formulated. The algorithm using the gradient projection method and design sensitivity analysis is discussed. Examples of minimum-weight design for six-story steel plane frame are taken to illustrate the application of this algorithm. The advantages of this algorithm such as marginal cost and design sensitivity analysis as well as system analysis are explained.

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Rapid detection of beer-spoilage lactic acid bacteria: Modified hop-gradient agar with ethanol method

  • Hong, Lim Seok;Kim, Ji Hyeon;Kim, Wang June
    • 한국식품과학회지
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    • 제52권3호
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    • pp.296-303
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    • 2020
  • Hop-resistant lactic acid bacteria (LAB) are well-known, major beer-spoilage bacteria. The hop-gradient agar containing ethanol (c-HGA+E) method has been used to examine hop-resistance of beer-spoilage LAB. However, the selection of beer-spoilage bacteria by the c-HGA+E method is either too selective or too inclusive. Furthermore, it is accompanied by a complicated experimental procedure, high-cost and time. To overcome these disadvantages, the modified hop-gradient agar with ethanol (m-HGA+E) method was developed. The most remarkable modifications were the shape of the petri dish and the inoculation method for bacteria. The efficiency and validation of the m-HGA+E approach were proven by the formation of colonies at different hop concentrations in the bottom layer, co-culture with the bacteriocin producer and by PCR detection of hop-resistant genes. This study demonstrated that m-HGA+E is a rapid, economical, and easy method to monitor potential hop-resistant beer-spoilage LAB during the beer brewing process.

A new conjugate gradient method for dynamic load identification of airfoil structure with randomness

  • Lin J. Wang;Jia H. Li;You X. Xie
    • Structural Engineering and Mechanics
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    • 제88권4호
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    • pp.301-309
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    • 2023
  • In this paper, a new modified conjugate gradient (MCG) method is presented which is based on a new gradient regularizer, and this method is used to identify the dynamic load on airfoil structure without and with considering random structure parameters. First of all, the newly proposed algorithm is proved to be efficient and convergent through the rigorous mathematics theory and the numerical results of determinate dynamic load identification. Secondly, using the perturbation method, we transform uncertain inverse problem about force reconstruction into determinate load identification problem. Lastly, the statistical characteristics of identified load are evaluated by statistical methods. Especially, this newly proposed approach has successfully solved determinate and uncertain inverse problems about dynamic load identification. Numerical simulations validate that the newly developed method in this paper is feasible and stable in solving load identification problems without and with considering random structure parameters. Additionally, it also shows that most of the observation error of the proposed algorithm in solving dynamic load identification of deterministic and random structure is respectively within 11.13%, 20%.

GLOBAL CONVERGENCE OF AN EFFICIENT HYBRID CONJUGATE GRADIENT METHOD FOR UNCONSTRAINED OPTIMIZATION

  • Liu, Jinkui;Du, Xianglin
    • 대한수학회보
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    • 제50권1호
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    • pp.73-81
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    • 2013
  • In this paper, an efficient hybrid nonlinear conjugate gradient method is proposed to solve general unconstrained optimization problems on the basis of CD method [2] and DY method [5], which possess the following property: the sufficient descent property holds without any line search. Under the Wolfe line search conditions, we proved the global convergence of the hybrid method for general nonconvex functions. The numerical results show that the hybrid method is especially efficient for the given test problems, and it can be widely used in scientific and engineering computation.

A new conjugate gradient algorithm for solving dynamic load identification

  • Wang, Lin J.;Deng, Qi C.;Xie, You X.
    • Structural Engineering and Mechanics
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    • 제64권2호
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    • pp.271-278
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    • 2017
  • In this paper, we propose a new conjugate gradient method which possesses the global convergence and apply it to solve inverse problems of the dynamic loads identification. Moreover, we strictly prove the stability and convergence of the proposed method. Two engineering numerical examples are presented to demonstrate the effectiveness and speediness of the present method which is superior to the Landweber iteration method. The results of numerical simulations indicate that the proposed method is stable and effective in solving the multi-source dynamic loads identification problems of practical engineering.

최적화용 신경망의 성능개선을 위한 새로운 최적화 기법 (A new optimization method for improving the performance of neural networks for optimization)

  • 조영현
    • 전자공학회논문지C
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    • 제34C권12호
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    • pp.61-69
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    • 1997
  • This paper proposes a new method for improving the performances of the neural network for optimization using a hyubrid of gradient descent method and dynamic tunneling system. The update rule of gradient descent method, which has the fast convergence characteristic, is applied for high-speed optimization. The update rule of dynamic tunneling system, which is the deterministic method with a tunneling phenomenon, is applied for global optimization. Having converged to the for escaping the local minima by applying the dynamic tunneling system. The proposed method has been applied to the travelling salesman problems and the optimal task partition problems to evaluate to that of hopfield model using the update rule of gradient descent method.

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유한요소법에 의한 비선형 자계 해석에 공액 구배법 적응 연구 (A Study on the Application of Conjugate Gradient Method in Nonlinear Magnetic Field Analysis by FEM.)

  • 임달호;신흥교
    • 대한전기학회논문지
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    • 제39권1호
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    • pp.22-28
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    • 1990
  • This paper is a study on the reduction of computation time in case of nonlinear magnetic field analysis by finite element method and Newton-Raphson method. For the purpose, the nonlinear convergence equation is computed by the conjugate gradient method which is known to be applicable to symmetric positive definite matrix equations only. As the results, we can not prove mathematically that the system Jacobian is positive definite, but when we applied this method, the diverging case did not occur. And the computation time is reduced by 25-55% and 15-45% in comparison with the case of direct and successive over-relaxation method, respectively. Therefore, we proved the utility of conjugate gradient method.

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