A Study on The State Estimation of The Time-Invariant Linear Systems via The Improved Parameter Estimation Method for The Block Pulse Coefficients

개선된 블록 펄스 계수 추정 기법을 이용한 선형 시불변계의 상태 추정에 관한 연구

  • 김태훈 (한국정보보호진흥원) ;
  • 김진태 (성균관대 전기전자 및 컴퓨터공학부) ;
  • 정제욱 (비츠로컴 연구소) ;
  • 심재선 (삼척대 전기공학과)
  • Published : 2002.04.01

Abstract

Because Block Pulse functions are used in a variety of fields such as the analysis and controller design of systems, it is necessary to find the more exact value of the Block Pulse series coefficients. This paper presents a method for the state estimation of the time-invariant linear systems via the improved estimation method for the Block Pulse coefficients by using the Simpson's rule. The proposed method using the Simpson's rule improve the accuracy of the Block Pulse coefficients.

Keywords

References

  1. C. F. Chen and C. H. Hsiao, 'A State-space Approach to Walsh Series Solution of Linear System', Int, J. Systems Sci. Vol. 6, pp.929-935, 1975 https://doi.org/10.1080/00207727508941868
  2. C. F. Chen and C. H. Hsiao, 'Time Domain Synthesis via Walsh Function', Proc. IEEE, Vol. 122, No. 5, pp. 565-570, May, 1975
  3. K. R. Palanisamy and V.P. Arunachalam, 'Analysis of Vibrating System via Walsh Series Approach', Int. J. Sys. Sci., Vol.18, No.8, pp. 1457-1466, 1987 https://doi.org/10.1080/00207728708967126
  4. K. R. Palanisamy, 'Analysis and Optimal Control of Linear Systems via Single Term Walsh Series Approach', Int. J. Sys. Sci., Vol. 12, No. 4, pp. 541-547, 1985
  5. C. F. Chen and C. H. Hsiao, 'Walsh Series Analysis in Optimal Control,' Int. J. Control, Vol.21, pp. 881-897, 1975 https://doi.org/10.1080/00207177508922043
  6. C. F. Chen and C. H. Hsiao, 'Design of Piecewise Constant Gains for Optimal Control via Walsh Functions,' IEEE Trans. Automatic Control, Vol.20, pp. 596-602, 1975 https://doi.org/10.1109/TAC.1975.1101057
  7. S. Omatu, 'Optimal Sensor Location Problem for a Linear Distributed Parameter Systems', IEEE Trans. Automatic Control, Vol.23, pp.665-673, 1978 https://doi.org/10.1109/TAC.1978.1101826
  8. G. Lauster, 'Distributed State Estimation and Optimal Feedback Control', IEEE Trans. Automatic Control, Vol.24, pp.197-, 1979
  9. Shuh-Chuan Tsay and Tsu-Tian Lee, 'Analysis and Optimal Control of Linear Time-varying Systems via General Orthogonal Polynomials', Int. J. System Science, vol.18, no.8, pp.1579-1594, 1987 https://doi.org/10.1080/00207728708967137
  10. 안두수, 제어 시스템 해석을 위한 직교함수와 응용, 복두출판사, 1997
  11. 정상권, 이승래, 권욱현, CEMTool 수치해석, 도서출판 한산, 2000
  12. J. Douglas Faires and Richard L. Burden, Numerical Analysis, PSW publishing company, 1993
  13. 김창근, 수치해석, 교우사, 1997