• Title/Summary/Keyword: recursive equation

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Childrearing Expenditure and the Intension to Have the Second Childbirth (자녀 양육비와 둘째 자녀 출산의도)

  • Lee, Seong-Lim
    • Journal of the Korean Home Economics Association
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    • v.48 no.10
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    • pp.105-119
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    • 2010
  • This study investigated the association between the expenditures for childrearing and the intention to have the second childbirth applying the recursive equation models. The major results were as follows. First, more than half of the households with one child did not have an intention to have the second childbirth. Second, about 40% of the household expenditure was spent for childrearing. About 36% of the childrearing expenditure was spent on the childcare and education, and about 64% on purchase of goods and services for child. Third, the variables which had a significant effect on the intention to have the second childbirth were child's age, mother's education, father's income, the private educational expenditure, and consumption expenditure for child. The intention to have the second childbirth did not have a significant effect on the level of childrearing expenditure. The implications for the family policies were suggested.

A Study on the Direct Pole Placement PID Self-Tuning Controller design for DC Servo Motor Control (직류 서어보 전동기 제어를 위한 직접 극배치 PID 자기동조 제어기의 설계)

  • Rhee, Kyu-Young;Nam, Moon-Hyun
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.327-331
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    • 1989
  • This paper concerned about a study on the direct pole placement PID self-tuning controller design for Robot manipulator control system. The method of a direct pole placement self-tuning PID control for a DC motor of robot manipulator tracks a reference velocity in spite of the parameters uncertainties in nonminimum phase system. In this scheme, the parameters of controller are estimated by the recursive least square(RLS) identification algorithm, the pole placement method and diophantine equation. A series of simulation in which minimum phase system and nonminimum phase system are subjected to a pattern of system parameter changes is presented to show some of the features of the proposed control algorithm. The proposed control algorithm which shown are effective for the practical application, and experiments of DC motor speed control for Robot manipulator by a microcomputer IRH-PC/AT are performed and the results are well suited.

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The Design of Model Reference Adaptive Controller via Block Pulse Functions (블럭펄스 함수를 이용한 기준 모델 적응 제어기 설계)

  • Kim, Jin-Tae;Kim, Tai-Hoon;Lee, Myung-Kyu;Ahn, Doo-Soo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.1
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    • pp.1-7
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    • 2002
  • This paper proposes a algebraic parameter determination of MRA(Model Reference Adaptive Control) controller using block Pulse functions and block Pulse function's differential operation. Generally, adaption is performed by solving differential equations which describe adaptive low for updating controller parameter. The proposes algorithm transforms differential equations into algebraic equation, which can be solved much more easily inn a recursive manner. We believe that proposes methods are very attractive and proper for parameter estimation of MRAC controller on account of its simplicity and computational convergence.

Analysis of Time-Varying Linear System Using the New Integral Operational Matrix via Block Pulse Functions (블록펄스 함수의 새로운 적분연산 행렬을 이용한 선형 시변계의 해석)

  • Cho, Young-Ho;Shin, Seung-Kwon;Park, Jung-Ho;Lee, Han-Seok;Kim, Jae-Il;Ahn, Doo-Soo
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.755-757
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    • 1999
  • The operational properties of BPF(block-pulse functions) are much applied to the analysis of time-varying linear systems. The integral operational matrix of BPF converts the systems in the form of the differential equation into the algebraic problems. But the errors caused by using the integral operational matrix make it difficult that we exactly analyze time-varying linear systems. So, in this paper, to analyze time-varying linear systems we had used the recursive algorithm derived from the new integral operational matrix. And the usefulness of the proposed method is verified by the example.

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An adaptive predictive control of distillation process using bilinear model (쌍일차 모델을 이용한 증류공정의 적응예측제어)

  • Lo, Kyun;Yeo, Yeong-Koo;Song, Hyung-Keun;Yoon, En-Sup
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.99-104
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    • 1991
  • An adaptive predictive control method for SISO and MIMO plants is proposed. In this method, future predictions of process output based on a bilinear CARIMA model are used to calculate the control input. Also, a classical recursive adaptation algorithm, equation error method, is used to decrease the uncertainty of the process model. As a result of the application on distillation process, the ability of the set-point tracking and the disturbance rejection is acceptable to apply to the industrial distillation processes.

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ON THE RATIONAL RECURSIVE SEQUENCE $x_{n+1}=\frac{{\alpha}x_n+{\beta}x_{n-1}+{\gamma}x_{n-2}+{\delta}x_{n-3}}{Ax_n+Bx_{n-1}+Cx_{n-2}+Dx_{n-3}}$

  • Zayed E.M.E.;El-Moneam M.A.
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.247-262
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    • 2006
  • The main objective of this paper is to study the boundedness character, the periodic character and the global stability of the positive solutions of the following difference equation $x_{n+1}=\frac{{\alpha}x_n+{\beta}x_{n-1}+{\gamma}x_{n-2}+{\delta}x_{n-3}}{Ax_n+Bx_{n-1}+Cx_{n-2}+Dx{n-3}}$, n=0, 1, 1, ... where the coefficients A, B, C, D, ${\alpha},\;{\beta},\;{\gamma},\;{\delta}$ and the initial conditions x-3, x-2, x-1, x0 are arbitrary positive real numbers.

Stable Generalized Predictive Control Using Frequency Domain Design (주파수역 설계를 통한 안정한 일반형 예측제어)

  • Yun, Gang-Seop;Lee, Man-Hyeong
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.11
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    • pp.58-66
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    • 2001
  • GPC has been reported as a useful self-tuning control algorithm for systems with unknown time-delay and parameters. GPC is easy to understand and implement, and thus has won popularity among many practicing engineers. Despite its success, GPC does not guarantee is nominal stability. So, in this paper, GPC is rederived in frequency domain instead of in the time domain to guarantee its nominal stability. Derivation of GPC in frequency domain involves spectral factorization and Diophantine equation. Frequency domain GPC control law is stable because the zeros of characteristic polynomial are strictly Schur. Recursive least square algorithm is used to identify unknown parameters. To see the effectiveness of the proposed controller, the controller is simulated for a numerical problem that changes in dead-time, in order and in parameters.

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A New Consideration for Discrete-System Reduction via Impulse Response Gramian

  • Younseok Choo;Park, Jaeho
    • International Journal of Control, Automation, and Systems
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    • v.2 no.3
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    • pp.384-389
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    • 2004
  • Recently a method of model reduction for discrete systems has been proposed in the literature based on a new impulse response Gramian. In this method, the system matrix$A_r$ of a reduced model is computed by approximating the reduced-order impulse response Gramian. The remaining matrices $b_r$ and $c_r$ are obtained so that various initial Markov parameters and time-moments of the original system are preserved in the reduced model. In this paper a different approach is presented based on the recursive relationship among the impulse response Gramians.

A MULTILEVEL BLOCK INCOMPLETE CHOLESKY PRECONDITIONER FOR SOLVING NORMAL EQUATIONS IN LINEAR LEAST SQUARES PROBLEMS

  • Jun, Zhang;Tong, Xiao
    • Journal of applied mathematics & informatics
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    • v.11 no.1_2
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    • pp.59-80
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    • 2003
  • An incomplete factorization method for preconditioning symmetric positive definite matrices is introduced to solve normal equations. The normal equations are form to solve linear least squares problems. The procedure is based on a block incomplete Cholesky factorization and a multilevel recursive strategy with an approximate Schur complement matrix formed implicitly. A diagonal perturbation strategy is implemented to enhance factorization robustness. The factors obtained are used as a preconditioner for the conjugate gradient method. Numerical experiments are used to show the robustness and efficiency of this preconditioning technique, and to compare it with two other preconditioners.

Spherically symmetric transient responses of functionally graded magneto-electro-elastic hollow sphere

  • Wang, H.M.;Ding, H.J.
    • Structural Engineering and Mechanics
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    • v.23 no.5
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    • pp.525-542
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    • 2006
  • On the basis of equilibrium equations for static electric and magnetic fields, two unknown functions related to electric and magnetic fields were firstly introduced to rewrite the governing equations, boundary conditions and initial conditions for mechanical field. Then by introducing a dependent variable and a special function satisfying the inhomogeneous mechanical boundary conditions, the governing equation for a new variable with homogeneous mechanical boundary conditions is obtained. By using the separation of variables technique as well as the electric and magnetic boundary conditions, the dynamic problem of a functionally graded magneto-electro-elastic hollow sphere under spherically symmetric deformation is transformed to two Volterra integral equations of the second kind about two unknown functions of time. Cubic Hermite polynomials are adopted to approximate the two undetermined functions at each time subinterval and the recursive formula for solving the integral equations is derived. Transient responses of displacements, stresses, electric and magnetic potentials are completely determined at the end. Numerical results are presented and discussed.