• Title/Summary/Keyword: Lagrage's interpolation

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The New Integral Operational Matrix of Block Pulse Function using Interpolation Method (보간법을 이용한 블록펄스 함수에 대한 새로운 적분 연산행렬의 유도)

  • Jo, Yeong-Ho;Sin, Seung-Gwon;Lee, Han-Seok;An, Du-Su
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.6
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    • pp.753-759
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    • 1999
  • BPF(block pulse function) has been used widely in the system analysis and controller design. The integral operational matrix of BPF converts the system represented in the form of the differential equation into the algebraic problem. Therefore, it is important to reduce the error caused by the integral operational matrix. In this paper, a new integral operational matrix is derived from the approximating function using Lagrange's interpolation formula. Comparing the proposed integral operational matrix with another, the result by proposed matrix is closer to the real value than that by the conventional matrix. The usefulness of th proposed method is also verified by numerical examples.

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