• Title/Summary/Keyword: Lagrange second order interpolation polynomial

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The Estimation of The Block Pulse Series by The Lagrange's Second Order Interpolation Polynomial (Lagrange 이차 보간 다항식을 이용한 블록 펄스 급수 추정)

  • Kim, Tai-Hoon;Lee, Hae-Ki
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.6
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    • pp.235-240
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    • 2002
  • This paper presents a new method for estimating the block pulse series coefficients by using the Lagrange's second order interpolation polynomial. Block pulse functions have been used in a variety of fields such as the analysis and controller design of the systems. When the block pulse functions are used, it is necessary to find the more exact value of the block pulse series coefficients. But these coefficients have been estimated by the mean of the adjacent discrete values, and the result is not sufficient when the values are changing extremely. In this paper, the method for improving the accuracy of the block pulse series coefficients by using the Lagrange's second order interpolation polynomial is presented.

Study on The Integration Operational Metrices Improved by The Lagrange Second Order Interpolation Polynomial (Lagrange 이차 보간 다앙식을 이용한 개선된 적분 연산 행렬에 관한 연구)

  • Kim, Tai-Hoon;Lee, Hae-Ki;Chung, Je-Wook
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.7
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    • pp.286-293
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    • 2002
  • This paper presents a new method for finding the Block Pulse series coefficients and deriving the Block Pulse integration operational matrices which are necessary for the control fields using the Block Pulse functions. In order to apply the Block Pulse function technique to the problems of continuous-time dynamic systems more efficiently, it is necessary to find the more exact value of the Block Pulse series coefficients and drives the related integration operational matrices by using the Lagrange second order interpolation polynomial.

A New Block Pulse Operational Matrices Improved by The Second Order Lagrange Interpolation Polynomial (Lagrange 이차 보간 다항식을 이용한 새로운 일반형 블럭 펄스 적분 연산 행렬)

  • 심재선;김태훈
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.6
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    • pp.351-358
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    • 2003
  • This paper presents a new method for finding the Block Pulse series coefficients, deriving the Block Pulse integration operational matrices and generalizing the integration operational matrices which are necessary for the control fields using the Block Pulse functions. In order to apply the Block Pulse function technique to the problems of state estimation or parameter identification more efficiently, it is necessary to find the more exact value of the Block Pulse series coefficients and integral operational matrices. This paper presents the method for improving the accuracy of the Block Pulse series coefficients and derives the related integration operational matrices and generalized integration operational matrix by using the Lagrange second order interpolation polynomial.

A Study on The Error Analysis of Integration Operational Metrices by The Lagrange Second Order Interpolation Polvnomial (Lagrange 이차 보간 다항식을 이용한 적분연산 행렬의 오차 해석에 관한 연구)

  • Lee, Hae-Ki;Kim, Tai-Hoon
    • Proceedings of the KIEE Conference
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    • 2003.07e
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    • pp.55-57
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    • 2003
  • This paper presents a new method for finding the Block Pulse series coefficients and deriving the Block Pulse integration operational matrices which are necessary for the control fields using the Block Pulse functions. In this paper, the accuracy of the Block Pulse series coefficients derived by using the Lagrange second order interpolation polynomial is approved by the mathematical method.

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A Derivation of Operational Matrices via Improved Block Pulse Coefficients Estimation Method (개선된 블럭 펄스 계수 추정 기법을 이용한 적분 연산 행렬 유도)

  • Kim, Tai-Hoon;Shim, Jae-Sun;Lee, Hae-Ki
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2277-2279
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    • 2003
  • This paper presents a new method for finding the Block Pulse series coefficients and deriving the Block Pulse integration operational matrices which are necessary for the control fields using the Block Pulse functions. This paper presents the method for improving the accuracy of the Block Pulse series coefficients and derives the related integration operational matrices by using the Lagrange second order interpolation polynomial and expands that matrix to general form.

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