메뉴 건너뛰기




Volumn 28, Issue 1, 2004, Pages 65-73

Some frequency-domain approaches to the model reduction of delay systems

Author keywords

Delay system; Fourier series; Frequency domain; Hankel operator; Inner function; Model reduction; Pad approximant; Wavelet

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; FOURIER TRANSFORMS; FREQUENCY DOMAIN ANALYSIS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; TRANSFER FUNCTIONS; WAVELET TRANSFORMS;

EID: 3042580336     PISSN: 13675788     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.arcontrol.2004.01.007     Document Type: Review
Times cited : (58)

References (50)
  • 1
    • 0001869162 scopus 로고
    • Analytic properties of the Schmidt pairs of a Hankel operator and the generalized Schur-Takagi problem
    • Adamjan V.M., Arov D.Z., Kreǐn M.G., Analytic properties of the Schmidt pairs of a Hankel operator and the generalized Schur-Takagi problem. Matematicheskiui Sbornik. Novaya Seriya. 86(128):1971;34-75.
    • (1971) Matematicheskiui Sbornik. Novaya Seriya , vol.86 , Issue.128 , pp. 34-75
    • Adamjan, V.M.1    Arov, D.Z.2    Kreǐn, M.G.3
  • 2
    • 0033886070 scopus 로고    scopus 로고
    • On the approximation of delay elements by feedback
    • Batlle C., Miralles A., On the approximation of delay elements by feedback. Automatica Journal of IFAC. 36:2000;659-664.
    • (2000) Automatica Journal of IFAC , vol.36 , pp. 659-664
    • Batlle, C.1    Miralles, A.2
  • 6
    • 0029454550 scopus 로고
    • Rational wavelet decompositions of transfer functions in Hardy-Sobolev classes
    • Dudley Ward N.F., Partington J.R., Rational wavelet decompositions of transfer functions in Hardy-Sobolev classes. Mathematics of Control, Signals and Systems. 8(3):1995;257-278.
    • (1995) Mathematics of Control, Signals and Systems , vol.8 , Issue.3 , pp. 257-278
    • Dudley Ward, N.F.1    Partington, J.R.2
  • 10
    • 0024035850 scopus 로고
    • Realisation and approximation of linear infinite-dimensional systems with error bounds
    • Glover K., Curtain R.F., Partington J.R., Realisation and approximation of linear infinite-dimensional systems with error bounds. SIAM Journal on Control and Optimization. 26(4):1988;863-898.
    • (1988) SIAM Journal on Control and Optimization , vol.26 , Issue.4 , pp. 863-898
    • Glover, K.1    Curtain, R.F.2    Partington, J.R.3
  • 11
    • 0025028414 scopus 로고
    • Rational approximation of a class of infinite-dimensional systems. I. Singular values of Hankel operators
    • Glover K., Lam J., Partington J.R., Rational approximation of a class of infinite-dimensional systems. I. Singular values of Hankel operators. Mathematics of Control, Signals and Systems. 3(4):1990;325-344.
    • (1990) Mathematics of Control, Signals and Systems , vol.3 , Issue.4 , pp. 325-344
    • Glover, K.1    Lam, J.2    Partington, J.R.3
  • 18
    • 0043226182 scopus 로고    scopus 로고
    • Approximation of transfer functions of unstable infinite dimensional control systems by rational interpolants with prescribed poles
    • López Lagomasino, G., & Ribalta, A. (2000). Approximation of transfer functions of unstable infinite dimensional control systems by rational interpolants with prescribed poles. Acta Applicandae Mathematicae, 61, 267-294.
    • (2000) Acta Applicandae Mathematicae , vol.61 , pp. 267-294
    • López Lagomasino, G.1    Ribalta, A.2
  • 19
    • 0025483501 scopus 로고
    • Approximation and identification of continuous-time systems
    • Mäkilä P.M., Approximation and identification of continuous-time systems. International Journal of Control. 52(3):1990a;669-687.
    • (1990) International Journal of Control , vol.52 , Issue.3 , pp. 669-687
    • Mäkilä, P.M.1
  • 20
    • 0025398366 scopus 로고
    • Approximation of stable systems by Laguerre filters
    • Mäkilä P.M., Approximation of stable systems by Laguerre filters. Automatica Journal of IFAC. 26(2):1990b;333-345.
    • (1990) Automatica Journal of IFAC , vol.26 , Issue.2 , pp. 333-345
    • Mäkilä, P.M.1
  • 21
    • 0025512620 scopus 로고
    • Laguerre series approximation of infinite-dimensional systems
    • Mäkilä P.M., Laguerre series approximation of infinite-dimensional systems. Automatica Journal of IFAC. 26(6):1990c;985-995.
    • (1990) Automatica Journal of IFAC , vol.26 , Issue.6 , pp. 985-995
    • Mäkilä, P.M.1
  • 22
    • 0345102509 scopus 로고    scopus 로고
    • Laguerre and Kautz shift approximations of delay systems
    • Mäkilä P.M., Partington J.R., Laguerre and Kautz shift approximations of delay systems. International Journal of Control. 72(10):1999a;932-946.
    • (1999) International Journal of Control , vol.72 , Issue.10 , pp. 932-946
    • Mäkilä, P.M.1    Partington, J.R.2
  • 25
    • 0019533482 scopus 로고
    • Principal component analysis in linear systems: Controllability, observability, and model reduction
    • Moore B.C., Principal component analysis in linear systems: Controllability, observability, and model reduction. IEEE Transactions on Automatic Control. 26(1):1981;17-32.
    • (1981) IEEE Transactions on Automatic Control , vol.26 , Issue.1 , pp. 17-32
    • Moore, B.C.1
  • 26
    • 0041759403 scopus 로고    scopus 로고
    • mathematical surveys and monographs. Providence, RI: American Mathematical Society
    • Nikolski, N. K. (2002). Operators, functions, and systems: An easy reading (mathematical surveys and monographs) (Vols. 1 and 92). Providence, RI: American Mathematical Society.
    • (2002) Operators, Functions, and Systems: An Easy Reading , vol.1-92
    • Nikolski, N.K.1
  • 27
    • 0026103442 scopus 로고
    • Modelling distributed parameter systems using Hermite polynomials
    • Olivier P.D., Modelling distributed parameter systems using Hermite polynomials. Electronics Letters. 27(4):1991;352-354.
    • (1991) Electronics Letters , vol.27 , Issue.4 , pp. 352-354
    • Olivier, P.D.1
  • 28
    • 0026732393 scopus 로고
    • Approximating irrational transfer functions using Lagrange interpolation formula
    • Olivier P.D., Approximating irrational transfer functions using Lagrange interpolation formula. IEE Proceedings D. 139(1):1992;9-12.
    • (1992) IEE Proceedings D , vol.139 , Issue.1 , pp. 9-12
    • Olivier, P.D.1
  • 30
    • 0026153705 scopus 로고
    • Approximation of delay systems by Fourier-Laguerre series
    • Partington J.R., Approximation of delay systems by Fourier-Laguerre series. Automatica Journal of IFAC. 27(3):1991a;569-572.
    • (1991) Automatica Journal of IFAC , vol.27 , Issue.3 , pp. 569-572
    • Partington, J.R.1
  • 31
    • 0026103973 scopus 로고
    • Approximation of unstable infinite-dimensional systems using coprime factors
    • Partington J.R., Approximation of unstable infinite-dimensional systems using coprime factors. Systems and Control Letters. 16(2):1991b;89-96.
    • (1991) Systems and Control Letters , vol.16 , Issue.2 , pp. 89-96
    • Partington, J.R.1
  • 33
    • 0025416974 scopus 로고
    • Robust stabilization of delay systems by approximation of coprime factors
    • Partington J.R., Glover K., Robust stabilization of delay systems by approximation of coprime factors. Systems and Control Letters. 14(4):1990;325-331.
    • (1990) Systems and Control Letters , vol.14 , Issue.4 , pp. 325-331
    • Partington, J.R.1    Glover, K.2
  • 36
    • 3042538823 scopus 로고    scopus 로고
    • (Springer monographs in mathematics). New York: Springer-Verlag
    • Peller, V. V. (2003). Hankel operators and their applications (Springer monographs in mathematics). New York: Springer-Verlag.
    • (2003) Hankel Operators and their Applications
    • Peller, V.V.1
  • 40
    • 0041511967 scopus 로고    scopus 로고
    • Time-delay systems: An overview of some recent advances and open problems
    • Richard J.-P., Time-delay systems: An overview of some recent advances and open problems. Automatica Journal of IFAC. 39:2003;1667-1694.
    • (2003) Automatica Journal of IFAC , vol.39 , pp. 1667-1694
    • Richard, J.-P.1
  • 42
    • 0009029770 scopus 로고
    • Existence and uniqueness of rational interpolants with free and prescribed poles
    • Tampa (Tampa, FL, 1985-1986). Lecture Notes in Math. Berlin: Springer
    • Stahl, H. (1987). Existence and uniqueness of rational interpolants with free and prescribed poles. In Approximation theory, Tampa (Tampa, FL, 1985-1986). Lecture Notes in Math (Vol. 1287, pp. 180-208). Berlin: Springer.
    • (1987) Approximation Theory , vol.1287 , pp. 180-208
    • Stahl, H.1
  • 43
    • 0007235470 scopus 로고
    • Rational Chebyshev approximation on the unit disk
    • Trefethen L.N., Rational Chebyshev approximation on the unit disk. Numerische Mathematik. 37(2):1981;297-320.
    • (1981) Numerische Mathematik , vol.37 , Issue.2 , pp. 297-320
    • Trefethen, L.N.1
  • 45
    • 0030143276 scopus 로고    scopus 로고
    • On approximation of stable linear dynamical systems using Laguerre and Kautz functions
    • Wahlberg B., Mäkilä P.M., On approximation of stable linear dynamical systems using Laguerre and Kautz functions. Automatica Journal of IFAC. 32(5):1996;693-708.
    • (1996) Automatica Journal of IFAC , vol.32 , Issue.5 , pp. 693-708
    • Wahlberg, B.1    Mäkilä, P.M.2
  • 47
    • 0031189109 scopus 로고    scopus 로고
    • A new approximation method for time-delay systems
    • Yoon M.G., Lee B.H., A new approximation method for time-delay systems. IEEE Transactions on Automatic Control. 42(7):1997;1008-1012.
    • (1997) IEEE Transactions on Automatic Control , vol.42 , Issue.7 , pp. 1008-1012
    • Yoon, M.G.1    Lee, B.H.2
  • 48
    • 0023981859 scopus 로고
    • On PID controller tuning using orthonormal series identification
    • Zervos C., Belanger P.R., Dumont G.A., On PID controller tuning using orthonormal series identification. Automatica Journal of IFAC. 24:1988;165-175.
    • (1988) Automatica Journal of IFAC , vol.24 , pp. 165-175
    • Zervos, C.1    Belanger, P.R.2    Dumont, G.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.