• 제목/요약/키워드: Approximate function

검색결과 655건 처리시간 0.021초

다층 신경회로망을 이용한 비선형 시스템의 견실한 제어 (Robust control of nonlinear system using multilayer neural network)

  • 성홍석;이쾌희
    • 전자공학회논문지S
    • /
    • 제34S권9호
    • /
    • pp.41-49
    • /
    • 1997
  • In this paper, we describe the algorithm which controls an unknown nonlinear system with disturbance a using multilayer neural network. The multilayer neural network can be used to approximate any continuous function to any desired degree of accuracy. With the former fact, we approximate an unknown nonlinear system by using of multilayer neural netowrk. WE include a disturbance among the modelling error, and the weight-update rule of multilayer neural network is derived to satisfy Laypunov stability. The whole control system constitutes controller using the feedback linearization method. The weight of neural network which is used to implement nonlinear function is updated by the derived update-rule. The proposed control algorithm is verified through computer simulation.

  • PDF

AN APPROACH FOR SOLVING OF A MOVING BOUNDARY PROBLEM

  • Basirzadeh, H.;Kamyad, A.V.
    • Journal of applied mathematics & informatics
    • /
    • 제14권1_2호
    • /
    • pp.97-113
    • /
    • 2004
  • In this paper we shall study moving boundary problems, and we introduce an approach for solving a wide range of them by using calculus of variations and optimization. First, we transform the problem equivalently into an optimal control problem by defining an objective function and artificial control functions. By using measure theory, the new problem is modified into one consisting of the minimization of a linear functional over a set of Radon measures; then we obtain an optimal measure which is then approximated by a finite combination of atomic measures and the problem converted to an infinite-dimensional linear programming. We approximate the infinite linear programming to a finite-dimensional linear programming. Then by using the solution of the latter problem we obtain an approximate solution for moving boundary function on specific time. Furthermore, we show the path of moving boundary from initial state to final state.

신경회로망을 이용한 비선형 시스템 제어 (Nonlinear system control using neural network)

  • 성홍석;이쾌희
    • 전자공학회논문지B
    • /
    • 제33B권7호
    • /
    • pp.32-39
    • /
    • 1996
  • In this paper, we describe the algorithm which controls an unknown nonlinear system with multilayer neural network. The multilayer neural netowrk can be used to approximate any continuous function to any desired degree of accuracy. With the former fact, we approximate unknown nonlinear function on the nonlinear system by using of multilayer neural netowrk. The weights on the hidden layer of multilayer neural network are updated by gradient method. The weight-update rule on the output layer is derived to satisfy lyapunov stability. Also, we obtain secondary controller form deriving step. The global control system consists of controller using feedback linearization method and secondary controller is order to satisfy layapunov stability. The proposed control algorithm is verified through computer simulation.

  • PDF

퍼지논리 제어기의 scaling factor의 분석 및 동조 (Analysis and Tuninig of Scaling Factors of Fuzzy Logic Controller)

  • 이철희;김광호
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1995년도 하계학술대회 논문집 B
    • /
    • pp.717-719
    • /
    • 1995
  • In this paper, we analyze the effects of scaling factors on the performance of a fuzzy controller and propose the tuning method for them. The quantitative relation between input and output variables of a fuzzy controller is obtained by using a quasi-linear fuzzy model. An approximate transfer function of a fuzzy controller is derived from the comparison a fuzzy controller with the conventional PID controller. We analyze the effects of scaling factor using this approximate transfer function and propose a fuzzy tuning method based on that of Maeda et al[4].

  • PDF

계단형 불연속 함수의 근사화를 위한 새로운 모듈형 신경회로망 학습 알고리즘 (A new modular neural network training algorithm for step-like discontinuous function approximation)

  • 이혁준
    • 한국통신학회논문지
    • /
    • 제22권12호
    • /
    • pp.2613-2625
    • /
    • 1997
  • Theoretically, a multi-layered feedforward network has been known to be able to approximate a continuous function to an arbitrary degree of accuracy. However, these networks fail to approximate discontinuous functions when they are trained by well-known training algorithms. This paper presents a training algorithm which doesn't work consists of one or more modules, which are trained in a sequential order within subspaces of the input space, and is trained very rapidely once all modules are trained and merged. The experimantal results of applying this method indicates the proposed training algorithm is superior to traditional ones such as baskpagation.

  • PDF

Goodness-of-fit test for the logistic distribution based on multiply type-II censored samples

  • Kang, Suk-Bok;Han, Jun-Tae;Cho, Young-Seuk
    • Journal of the Korean Data and Information Science Society
    • /
    • 제25권1호
    • /
    • pp.195-209
    • /
    • 2014
  • In this paper, we derive the estimators of the location parameter and the scale parameter in a logistic distribution based on multiply type-II censored samples by the approximate maximum likelihood estimation method. We use four modified empirical distribution function (EDF) types test for the logistic distribution based on multiply type-II censored samples using proposed approximate maximum likelihood estimators. We also propose the modified normalized sample Lorenz curve plot for the logistic distribution based on multiply type-II censored samples. For each test, Monte Carlo techniques are used to generate the critical values. The powers of these tests are also investigated under several alternative distributions.

Estimation for the Half Logistic Distribution under Progressive Type-II Censoring

  • Kang, Suk-Bok;Cho, Young-Seuk;Han, Jun-Tae
    • Communications for Statistical Applications and Methods
    • /
    • 제15권6호
    • /
    • pp.815-823
    • /
    • 2008
  • In this paper, we derive the approximate maximum likelihood estimators(AMLEs) and maximum likelihood estimator of the scale parameter in a half-logistic distribution based on progressive Type-II censored samples. We compare the proposed estimators in the sense of the mean squared error for various censored samples. We also obtain the approximate maximum likelihood estimators of the reliability function using the proposed estimators. We compare the proposed estimators in the sense of the mean squared error.

Reliability Estimation for the Exponential Distribution under Multiply Type-II Censoring

  • Kang, Suk-Bok;Lee, Sang-Ki;Choi, Hui-Taeg
    • 한국데이터정보과학회:학술대회논문집
    • /
    • 한국데이터정보과학회 2005년도 추계학술대회
    • /
    • pp.13-26
    • /
    • 2005
  • In this paper, we derive the approximate maximum likelihood estimators of the scale parameter and location parameter of the exponential distribution based on multiply Type-II censored samples. We compare the proposed estimators in the sense of the mean squared error for various censored samples. We also obtain the approximate maximum likelihood estimator (AMLE) of the reliability function by using the proposed estimators. And then we compare the proposed estimators in the sense of the mean squared error.

  • PDF

근사신뢰도기법을 이용한 효율적인 공력 형상 설계에 관한 연구 (Study of the Efficient Aerodynamic Shape Design Optimization Using the Approximate Reliability Method)

  • 김수환;권장혁
    • 한국전산유체공학회:학술대회논문집
    • /
    • 한국전산유체공학회 2004년도 추계 학술대회논문집
    • /
    • pp.187-191
    • /
    • 2004
  • The conventional reliability based design optimization(RBDO) methods require high computational cost compared with the deterministic design optimization(DO) methods. To overcome the computational inefficiency of RBDO, single loop methods have been proposed. These need less function calls than that of RBDO but much more than that of DO. In this study, the approximate reliability method is proposed that the computational requirement is nearly the same as DO and the reliability accuracy is good compared with that of RBDO. Using this method, the 3-D viscous aerodynamic shape design optimization with uncertainty is performed very efficiently.

  • PDF

이점 볼록 근사화 기법을 적용한 최적설계 (Design Optimization Using the Two-Point Convex Approximation)

  • 김종립;최동훈
    • 대한기계학회논문집A
    • /
    • 제27권6호
    • /
    • pp.1041-1049
    • /
    • 2003
  • In this paper, a new local two-point approximation method which is based on the exponential intervening variable is proposed. This new algorithm, called the Two-Point Convex Approximation(TPCA), use the function and design sensitivity information from the current and previous design points of the sequential approximate optimization to generate a sequence of convex, separable subproblems. This paper describes the derivation of the parameters associated with the approximation and the numerical solution procedure. In order to show the numerical performance of the proposed method, a sequential approximate optimizer is developed and applied to solve several typical design problems. These optimization results are compared with those of other optimizers. Numerical results obtained from the test examples demonstrate the effectiveness of the proposed method.