The Transactions of the Korean Institute of Electrical Engineers A (대한전기학회논문지:전력기술부문A)

The Korean Institute of Electrical Engineers (대한전기학회)
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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

  • 조영호 (성균관대 전기전자컴퓨터공학부) ;
  • 신승권 (성균관대 전기전자컴퓨터공학부) ;
  • 이한석 (한국원자력연구소) ;
  • 안두수 (성균관대 전기전자컴퓨터공학부)
  • Published : 1999.06.01
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Abstract

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.

Keywords

References

  1. orthogonal Functions in Systems and Control K. B. Datta;M. Mohan
  2. Block Pulse Functions and Their Applications in Control Systems Z. H. Jian;W. Schoufelberger
  3. Int. J. Control v.33 no.6 Analysis and Optimal Control of time-varying linear systems Via block-pulse functions N. S. Hsu;B. Cheng
  4. 대한전기학회 논문지 v.47 no.4 블럭펄스 함수에 의한 비선형계의 2계층 최적제어 이한석;조영호;이명규;안두수
  5. Int. J. Control v.46 no.2 New Approach to Hierarchical Control Via Block Pulse Transformation J. M. Zhu;Y. Z. Lu
  6. Int. J. Systems Sci. v.21 no.7 Convergence of block pulse series approximation solution for optimal control problem W. Shienyu
  7. Advanced Engineering Mathematics (7th Ed.) E. Kreyszig
  8. J. Franklin Inst. v.334B no.2 All-integrator Approach to Linear SISO Control System Analysis using Block Pulse Functions (BPF) A. Deb;G. Sarkar;M. Bhattacharjee;S. K. Sen
  9. IEE Proc. Control Theory Appl v.142 no.1 Linearly pulse width modulated block pulse functions and their application to linear SISO feedback control system identification A. Dab;G. Sarkar;S. K. Sen