• 제목/요약/키워드: Optimal rate of convergence

검색결과 258건 처리시간 0.026초

최적제어이론과 관련된 "리카티" 미분방정식의 수식해 (Numerical Solution of Riccati Differential Equation in Optimal Control Theory)

  • 경규학
    • 한국경영과학회지
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    • 제9권2호
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    • pp.28-33
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    • 1984
  • In this paper some procedures are given whereby an analytic solution may be found for the Riccati differential equation and algebraic Riccati equation in optimal control theory. Some iterative techniques for solving these equations are presented. Rate of convergence and initialization of the iterative processes are discussed.

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마이크로 유전자 알고리즘을 적용한 구조 최적설계에 관한 비교 연구 (Comparative Study on Structural Optimal Design Using Micro-Genetic Algorithm)

  • 한석영;최성만
    • 한국공작기계학회논문집
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    • 제12권3호
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    • pp.82-88
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    • 2003
  • SGA(Single Genetic Algorithm) is a heuristic global optimization method based on the natural characteristics and uses many populations and stochastic rules. Therefore SGA needs many function evaluations and takes much time for convergence. In order to solve the demerits of SGA, ${\mu}GA$(Micro-Genetic Algorithm) has recently been developed. In this study, ${\mu}GA$ which have small populations and fast convergence rate, was applied to structural optimization with discrete or integer variables such as 3, 10 and 25 bar trusses. The optimized results of ${\mu}GA$ were compared with those of SGA. Solutions of ${\mu}GA$ for structural optimization were very similar or superior to those of SGA, and faster convergence rate was obtained. From the results of examples, it is found that ${\mu}GA$ is a suitable and very efficient optimization algorithm for structural design.

진화 시스템을 위한 유전자 알고리즘 프로세서의 구현 (Implementation of an Adaptive Genetic Algorithm Processor for Evolvable Hardware)

  • 정석우;김현식;김동순;정덕진
    • 대한전기학회논문지:시스템및제어부문D
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    • 제53권4호
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    • pp.265-276
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    • 2004
  • Genetic Algorithm(GA), that is shown stable performance to find an optimal solution, has been used as a method of solving large-scaled optimization problems with complex constraints in various applications. Since it takes so much time to execute a long computation process for iterative evolution and adaptation. In this paper, a hardware-based adaptive GA was proposed to reduce the serious computation time of the evolutionary process and to improve the accuracy of convergence to optimal solution. The proposed GA, based on steady-state model among continuos generation model, performs an adaptive mutation process with consideration of the evolution flow and the population diversity. The drawback of the GA, premature convergence, was solved by the proposed adaptation. The Performance improvement of convergence accuracy for some kinds of problem and condition reached to 5-100% with equivalent convergence speed to high-speed algorithm. The proposed adaptive GAP(Genetic Algorithm Processor) was implemented on FPGA device Xilinx XCV2000E of EHW board for face recognition.

전자빔 가속기에 의한 페놀의 분해 I - 페놀의 분해와 생물학적 처리의 가능성 연구 - (Decomposition of Phenol by Electron Beam Accelerator I - Degree of Decomposition of Phenol and Possiblity of Biological Treatment -)

  • 양해영
    • 한국산업융합학회 논문집
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    • 제15권3호
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    • pp.71-77
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    • 2012
  • This study gives the optimal reaction conditions, reaction mechanisms, reaction rates leaded from the oxidation of phenol by electron beam accelerator and ozone used for recent water treatment. It gives the new possibility of water treatment process to effectively manage industrial sewage containing toxic organic compounds and biological refractory materials. The high decomposition of phenol was observed at the low dose rate, but at this low dose rate, the reaction time was lengthened. So we must find out the optimal dose rate to promote high oxidation of reactants. The reason why the TOC value of aqueous solution wasn't decreased at the low dose was that there were a lot of low molecular organic acids as an intermediates such as formic acid or glyoxalic acid. In order to use both electron beam accelerator and biological treatment for high concentration refractory organic compounds, biological treatment is needed when low molecular organic compounds exist abundantly in sewage. In this experiment, the condition of making a lot of organic acids is from 5 kGy into 20 kGy dose. Decomposition rate of phenol by electron beam accelerator was first order reaction up to 300ppm phenol solution on the basic of TOC value and also showed first order reaction by using both air and ozone as an oxidants.

Kernel Regression Estimation for Permutation Fixed Design Additive Models

  • Baek, Jangsun;Wehrly, Thomas E.
    • Journal of the Korean Statistical Society
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    • 제25권4호
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    • pp.499-514
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    • 1996
  • Consider an additive regression model of Y on X = (X$_1$,X$_2$,. . .,$X_p$), Y = $sum_{j=1}^pf_j(X_j) + $\varepsilon$$, where $f_j$s are smooth functions to be estimated and $\varepsilon$ is a random error. If $X_j$s are fixed design points, we call it the fixed design additive model. Since the response variable Y is observed at fixed p-dimensional design points, the behavior of the nonparametric regression estimator depends on the design. We propose a fixed design called permutation fixed design, and fit the regression function by the kernel method. The estimator in the permutation fixed design achieves the univariate optimal rate of convergence in mean squared error for any p $\geq$ 2.

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TWO-LAYER MULTI-PARAMETERIZED SCHWARZ ALTERNATING METHOD FOR 3D-PROBLEM

  • KIM, SANG-BAE
    • Journal of applied mathematics & informatics
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    • 제34권5_6호
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    • pp.383-395
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    • 2016
  • The convergence rate of a numerical procedure based on Schwarz Alternating Method (SAM) for solving elliptic boundary value problems depends on the selection of the interface conditions applied on the interior boundaries of the overlapping subdomains. It has been observed that the Robin condition (mixed interface condition), controlled by a parameter, can optimize SAM's convergence rate. In [8], one formulated the twolayer multi-parameterized SAM and determined the optimal values of the multi-parameters to produce the best convergence rate for one-dimensional elliptic boundary value problems. Two-dimensional implementation was presented in [10]. In this paper, we present an implementation for threedimensional problem.

MULTI-PARAMETERIZED SCHWARZ ALTERNATING METHOD FOR 3D-PROBLEM

  • Kim, Sang-Bae
    • Journal of applied mathematics & informatics
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    • 제33권1_2호
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    • pp.33-44
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    • 2015
  • The convergence rate of a numerical procedure based on Schwarz Alternating Method(SAM) for solving elliptic boundary value problems depends on the selection of the interface conditions applied on the interior boundaries of the overlapping subdomains. It has been observed that the Robin condition (mixed interface condition), controlled by a parameter, can optimize SAM's convergence rate. In [7], one formulated the multi-parameterized SAM and determined the optimal values of the multi-parameters to produce the best convergence rate for one-dimensional elliptic boundary value problems. Two-dimensional implementation was presented in [8]. In this paper, we present an implementation for three-dimensional problem.

DS 알고리즘을 이용한 마이크로 그리드 최적운영기법 (Optimal Operation Method of Microgrid System Using DS Algorithm)

  • 박시나;이상봉
    • 조명전기설비학회논문지
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    • 제29권5호
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    • pp.34-40
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    • 2015
  • This paper presents an application of Differential Search (DS) meta-heuristic optimization algorithm for optimal operation of micro grid system. DS algorithm has the benefit of high convergence rate and precision compared to other optimization methods. The micro grid system consists of a wind turbine, a diesel generator, and a fuel cell. The simulation is applied to micro grid system only. The wind turbine generator is modeled by considering the characteristics of variable output. One day load data which is divided every 20 minute and wind resource for wind turbine generator are used for the study. The method using the proposed DS algorithm is easy to implement, and the results of the convergence performance are better than other optimization algorithms.

Analysis of the dynamical behavior of piezoceramic actuators using piezoelectric isogeometric finite elements

  • Willberg, Christian
    • Advances in Computational Design
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    • 제1권1호
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    • pp.37-60
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    • 2016
  • In this paper an electromechanically coupled isogeometric finite element is utilized to analyse Lamb wave excitation with piezoceramic actuators. An effective actuator design reduces the energy needed for Lamb wave excitation, which is beneficial if a structural health monitoring system should be applied for a structure. For a better understanding of the actuator behavior the piezoeceramics are studied both free and bonded at a structure. The numerical part of the analysis is performed utilizing isogeometric finite elements. To obtain the optimal performance for the numerical analysis the effect of k-refinement of the isogeometric element with respect to the convergence is studied and discussed. The optimal numerical setup with the best convergence rate is proposed and is validated with free piezoeceramic actuators. The validated model is then utilized to study the impact of actuator shape and adhesive bondline effect to the wave amplitude. The study shows that simplified analytical equations do not predict the optimal excitation frequencies for all piezoceramic designs accurately.

퍼지 보상기와 자기구성 신경회로망을 이용한 매니퓰레이터의 역기구학 해에 관한 연구 (A Study on the Soiution of Inverse Kinematic of Manipulator using Self-Organizing Neural Network and Fuzzy Compensator)

  • 김동희;이수흠;신위재
    • 융합신호처리학회논문지
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    • 제2권3호
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    • pp.79-85
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    • 2001
  • 본 논문에서는 퍼지 보상기와 자기구성 신경회로망을 이용하여 3축 매니퓰레이터의 역 기구학 해를 구하는 방법을 제안한다. 가우시안 위치 함수를 활성화 함수로 사용하는 자기구성 신경회로망은 학습 시작시 1개의 은닉층 노드를 가지고 학습을 하면서 점차적으로 은닉층의 노드수를 증가시킴으로서 최적의 노드수를 얻을 수 있으며, 퍼지 보상기는 신경회로망의 양호한 학습비를 얻는다. 이와 같이 시스템을 구성하여 빠른 학습속도와 학습비의 개선 그리고 빠른 정상상태로의 수렴을 확인하였다.

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