Journal of the Korean Institute of Illuminating and Electrical Installation Engineers (조명전기설비학회논문지)

The Korean Institute of IIIuminating and Electrical Installation Engineers (한국조명전기설비학회)
권호 표지

A Study on State Analysis of Heat Exchange between Counter-Flow Fluid via Fast Walsh Transform

고속 월쉬 변환을 이용한 이동 유체간 열교환 상태 해석에 관한 연구

  • Published : 2001.11.01
Download PDF
⟨ Previous Next ⟩

Abstract

This study uses the distributed parameter systems resented by the spatial discretization technique. In this paper, the distributed parameter systems are converted into lumped parameter systems, End fast Walsh transform and the Picard's iteration method are allied to analysis the state of the systems. This thesis presents a new algorithm which usefully exercises the optimal contro1 in the distributed parameter systems. In exercising the optimal control of the distributed parameter systems, the excellent consequences are found without using the existing decentralized contro1 or hierarchical control method. This study can be applied to the linear time-varying systems and the non-linear systems. Farther researches are required to solve the problems of convergence in case of the numerous applicable intervals. The simulation proves the effectiveness of the proposed algorithm.

분포정수계는 시스템이 두 개 이상의 독립변수로 표현되면서 또한 각 변수에 대한 미분을 포함하는 편미분 방정식으로 표현되므로, 분포정수계에 직접적인 최적제어 논리를 도입하는 것은 매우 어렵다. 본 연구에서 제시하고자하는 새로운 알고리즘은 월쉬 함수 고유특성을 그대로 유지할 수 있는 유한급수전개방법을 이용함과 동시에 계산의 편리성을 위하여 고속 월쉬 변환을 사용하는 것으로서, 본 연구 방법을 사용하면 역행렬 연산이 필요 없게 되므로 기존의 방법에 의해 처리하기 힘든 분포정수계, 선형시변계, 비선형계의 해석 및 제어문제어도 쉽게 적용할 수 있다.

Keywords

References

  1. Distributed Parameter Systems Approximation methods for Distributed Parameter Systems Seidman T.J.
  2. Int. J. of Control v.34 Parameter Estimation of One and Two-Dimentional Heat Conduction Processes using a Microcomputer Kitamura s.;Y. Taniguchi
  3. Trans. of Asme v.105 A Fast Computational Approach in Optimal Distributed Parameter State Estimation K. Watanabe;M. Iwasaki
  4. AICHE J. v.32 Comparition of linear distributed parameter filters to lumped approximants D.J. Cooper
  5. Int. J. Control v.46 Simple method for design of Lyapunov functional in distributed parameter systems T.J. Godon
  6. IEEE Trans. Circuit Theory v.20 Solution of Differential and Integral Equations with Walsh Functions M.S. Corrington
  7. Int. J. System Science v.21 no.9 Fourier Series Approach for the Solution of Linear Two-Point Boundary Value Problems with Time Varying Coefficients M. Razzaghi
  8. 직교함수와 응용 안두수
  9. Automatica v.15 Finite Difference Implementation of Distributed Parameter Filters Koda M.
  10. IEEE Trans. Automatic Control v.20 Least square simulation of distributed paraneter systems P.A. Orner
  11. Int. J. System Science v.13 Identification on heat transfer system using the Gelerkin method Y. Yoshimura
  12. Control System Lab. Uni. of Patras Design of distributed parameter optimal controllers and filters via Walsh-Gelerkin expansions S. G. Tzafestas
  13. Int. J. System Science v.18 no.8 Analysis and Optimal Control of Linear Time-rarying Systems via General Orthogonal Polynomials Shuh-ChuanTsay;Tsu-Tian Lee
  14. Optimal system control A.P. Sage
  15. Trans. of ASME v.105 Optimal Control of Linear Distributed Parameter System by Shifted Legendre Polynomials M.L. Wang;R.Y. Chang