메뉴 건너뛰기




Volumn 48, Issue 4, 2003, Pages 705-709

Orthogonal rational functions for system identification: Numerical aspects

Author keywords

Least squares; Orthogonal rational functions (ORFs); System identification

Indexed keywords

ALGORITHMS; FREQUENCY DOMAIN ANALYSIS; LEAST SQUARES APPROXIMATIONS; LINEAR CONTROL SYSTEMS;

EID: 0037397959     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.809761     Document Type: Article
Times cited : (27)

References (21)
  • 1
    • 0003432662 scopus 로고
    • Interpolation and approximation
    • Providence, RI
    • J. L. Walsh, "Interpolation and approximation," in Amer. Math. Soc. Colloq. Publ., vol. 20, Providence, RI, 1960.
    • (1960) Amer. Math. Soc. Colloq. Publ. , vol.20
    • Walsh, J.L.1
  • 2
    • 0000899109 scopus 로고
    • On the orthogonal functions and a new formula of interpolation
    • S. Takenaka, "On the orthogonal functions and a new formula of interpolation," Jpn. J. Math., vol. 2, pp. 129-145, 1925.
    • (1925) Jpn. J. Math. , vol.2 , pp. 129-145
    • Takenaka, S.1
  • 3
    • 0007422271 scopus 로고
    • Sur la détermination d'une classe de fonctions analytiques par leurs valeurs dans un ensemble donné de poits
    • Kopenhagen, Copenhagen, Gjellerups
    • F. Malmquist, "Sur la détermination d'une classe de fonctions analytiques par leurs valeurs dans un ensemble donné de poits," in Proc. C.R. 6ième Cong. Math. Scand., (Kopenhagen 1925), Copenhagen 1926, Gjellerups, pp. 253-259.
    • (1925) Proc. C.R. 6ième Cong. Math. Scand. , pp. 253-259
    • Malmquist, F.1
  • 4
    • 0003473124 scopus 로고    scopus 로고
    • System identification: Theory for the user, 2nd ed ser.
    • Upper Saddle River, NJ: Prentice-Hall
    • L. Ljung, System Identification: Theory for the User, 2nd ed, ser. Information and System Sciences Series. Upper Saddle River, NJ: Prentice-Hall, 1999.
    • (1999) Information and System Sciences Series
    • Ljung, L.1
  • 5
    • 85163152800 scopus 로고
    • Synthesis of electrical networks by means of the Fourier transforms of Laguerre functions
    • Y. W. Lee, "Synthesis of electrical networks by means of the Fourier transforms of Laguerre functions," J. Math. Phys., vol, 11, pp. 83-113, 1933.
    • (1933) J. Math. Phys. , vol.11 , pp. 83-113
    • Lee, Y.W.1
  • 6
    • 84937349081 scopus 로고
    • Transient synthesis in the time domain
    • W. H. Kautz, "Transient synthesis in the time domain," IRE Trans. Circuits Theory, vol. 1, pp. 29-39, 1954.
    • (1954) IRE Trans. Circuits Theory , vol.1 , pp. 29-39
    • Kautz, W.H.1
  • 7
    • 0030143276 scopus 로고    scopus 로고
    • On approximation of stable linear dynamical systems using Laguerre and Kautz functions
    • B. Wahlberg and P. M. Mäkil̈, "On approximation of stable linear dynamical systems using Laguerre and Kautz functions," Automation, vol. 32, no. 5, pp. 693-708, 1996.
    • (1996) Automation , vol.32 , Issue.5 , pp. 693-708
    • Wahlberg, B.1    Mäkil̈, P.M.2
  • 10
    • 0029515671 scopus 로고
    • System identification with generalized orthogonal basis functions
    • P. M. J. Van den Hof, P. S. C. Heuberger, and J. Bokor, "System identification with generalized orthogonal basis functions," Automatica, vol. 31, pp. 1821-1834,1995.
    • (1995) Automatica , vol.31 , pp. 1821-1834
    • Van den Hof, P.M.J.1    Heuberger, P.S.C.2    Bokor, J.3
  • 11
    • 0028738802 scopus 로고
    • A unifying construction of orthonormal bases for system identification
    • Orlando, FL, Dec.
    • B. Ninness and F. Gustafsson, "A unifying construction of orthonormal bases for system identification," in Proc. IEEE Conf. Decision Control, Orlando, FL, Dec. 1994, pp. 3388-3393.
    • (1994) Proc. IEEE Conf. Decision Control , pp. 3388-3393
    • Ninness, B.1    Gustafsson, F.2
  • 12
    • 0031116933 scopus 로고    scopus 로고
    • A unified construction of orthogonal bases for system identification
    • Apr.
    • B. Ninness and F. Gustafsson, "A unified construction of orthogonal bases for system identification," IEEE Trans. Automat. Contr., vol. 42, pp. 515-522, Apr. 1997.
    • (1997) IEEE Trans. Automat. Contr. , vol.42 , pp. 515-522
    • Ninness, B.1    Gustafsson, F.2
  • 13
    • 0032166168 scopus 로고    scopus 로고
    • Rational basis functions for robust identification from frequency and time domain measurements
    • H. Akçay and B. Ninness, "Rational basis functions for robust identification from frequency and time domain measurements," Automatica, vol. 34, no. 9, pp. 1101-1117, 1998.
    • (1998) Automatica , vol.34 , Issue.9 , pp. 1101-1117
    • Akçay, H.1    Ninness, B.2
  • 14
    • 0013197854 scopus 로고    scopus 로고
    • Frequency domain estimation using orthonormal bases
    • San Francisco, CA
    • B. Ninness, "Frequency domain estimation using orthonormal bases," in Proc. 13th IFAC World Congr., vol. 8, San Francisco, CA, 1996, pp. 381-386.
    • (1996) Proc. 13th IFAC World Congr. , vol.8 , pp. 381-386
    • Ninness, B.1
  • 15
    • 0030171765 scopus 로고    scopus 로고
    • Robust identification in the disc algebra using rational wavelets and orthonormal basis functions
    • N.F.D. Ward and J.R. Partington, "Robust identification in the disc algebra using rational wavelets and orthonormal basis functions." Int. J. Control, Vol. 64, pp. 409-423, 1996.
    • (1996) Int. J. Control , vol.64 , pp. 409-423
    • Ward, N.F.D.1    Partington, J.R.2
  • 19
    • 0037881902 scopus 로고    scopus 로고
    • State space representation for arbitrary orthogonal rational functions
    • to be published
    • _, "State space representation for arbitrary orthogonal rational functions," Syst. Control Lett., 2003, to be published.
    • (2003) Syst. Control Lett.
  • 20
    • 0032071943 scopus 로고    scopus 로고
    • Frequency domain identification with generalized orthonormal basis functions
    • May
    • D. K. de Vries and P. van den Hof, "Frequency domain identification with generalized orthonormal basis functions," IEEE Trans. Automat. Contr., vol. 43, pp. 66-669, May 1998.
    • (1998) IEEE Trans. Automat. Contr. , vol.43 , pp. 66-669
    • De Vries, D.K.1    Van den Hof, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.