메뉴 건너뛰기




Volumn 41, Issue 12, 2005, Pages 2019-2032

H ∞ set membership identification: A survey

Author keywords

Identification for control; Robust identification; Robustness; Uncertainty models; Unmodeled dynamics

Indexed keywords

IDENTIFICATION FOR CONTROL; ROBUST IDENTIFICATION; UNCERTAINTY MODELS; UNMODELED DYNAMICS;

EID: 27344445801     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2005.07.007     Document Type: Article
Times cited : (45)

References (65)
  • 1
    • 0028546239 scopus 로고
    • The least-squares identification of FIR systems subject to worst-case noise
    • H. Akçay, and H. Hjalmarsson The least-squares identification of FIR systems subject to worst-case noise Systems & Control Letters 23 1994 329 338
    • (1994) Systems & Control Letters , vol.23 , pp. 329-338
    • Akçay, H.1    Hjalmarsson, H.2
  • 2
    • 0003374090 scopus 로고    scopus 로고
    • On the worst-case divergence of the least-squares algorithm
    • H. Akçay, and B. Ninness On the worst-case divergence of the least-squares algorithm Systems & Control Letters 33 1998 19 24
    • (1998) Systems & Control Letters , vol.33 , pp. 19-24
    • Akçay, H.1    Ninness, B.2
  • 5
    • 0030258250 scopus 로고    scopus 로고
    • Model reduction of multidimensional and uncertain systems
    • C.L. Beck, J. Doyle, and K. Glover Model reduction of multidimensional and uncertain systems IEEE Transactions on Automatic Control AC-41 10 1996 1466 1477
    • (1996) IEEE Transactions on Automatic Control , vol.AC-41 , Issue.10 , pp. 1466-1477
    • Beck, C.L.1    Doyle, J.2    Glover, K.3
  • 6
    • 0031167278 scopus 로고    scopus 로고
    • Frequency-domain tests for validation of linear fractional uncertain models
    • J. Chen Frequency-domain tests for validation of linear fractional uncertain models IEEE Transactions on Automatic Control AC-42 6 1997 748 760
    • (1997) IEEE Transactions on Automatic Control , vol.AC-42 , Issue.6 , pp. 748-760
    • Chen, J.1
  • 7
    • 0003414035 scopus 로고    scopus 로고
    • Wiley New York
    • J. Chen, and G. Gu Control-oriented system identification: an H ∞ approach 2000 Wiley New York
    • (2000) ∞ Approach
    • Chen, J.1    Gu, G.2
  • 9
    • 0029290392 scopus 로고
    • 1 identification: A time domain approach
    • J. Chen, and C.N. Nett The Carathéodory-Fejér problem and H ∞ / ℓ 1 identification: A time domain approach IEEE Transactions on Automatic Control AC-40 4 1995 729 735
    • (1995) IEEE Transactions on Automatic Control , vol.AC-40 , Issue.4 , pp. 729-735
    • Chen, J.1    Nett, C.N.2
  • 10
    • 0027042935 scopus 로고
    • ∞: Validation of a priori information, essentially optimal algorithms, and error bounds
    • Chicago, IL
    • Chen, J., Nett, C. N., & Fan, M. K. H. (1992). Worst-case system identification in H ∞ : Validation of a priori information, essentially optimal algorithms, and error bounds. In Proceedings of the American control conference (pp. 251-257), Chicago, IL.
    • (1992) Proceedings of the American Control Conference , pp. 251-257
    • Chen, J.1    Nett, C.N.2    Fan, M.K.H.3
  • 11
    • 0029345743 scopus 로고
    • ∞: Validation of a priori information, essentially optimal algorithms, and error bounds
    • J. Chen, C.N. Nett, and M.K.H. Fan Worst case system identification in H ∞ : Validation of a priori information, essentially optimal algorithms, and error bounds IEEE Transactions on Automatic Control AC-40 7 1995 1260 1265
    • (1995) IEEE Transactions on Automatic Control , vol.AC-40 , Issue.7 , pp. 1260-1265
    • Chen, J.1    Nett, C.N.2    Fan, M.K.H.3
  • 12
    • 0029288073 scopus 로고
    • Quantification of uncertainty in transfer function estimation: A mixed probabilistic-worst-case approach
    • D.K. de Vries, and P.M.J. Van den Hof Quantification of uncertainty in transfer function estimation: A mixed probabilistic-worst-case approach Automatica 31 4 1995 543 557
    • (1995) Automatica , vol.31 , Issue.4 , pp. 543-557
    • De Vries, D.K.1    Van Den Hof, P.M.J.2
  • 15
  • 16
    • 0026889620 scopus 로고
    • Quantifying the error in estimated transfer functions with application to model order selection
    • G.C. Goodwin, M. Gevers, and B. Ninness Quantifying the error in estimated transfer functions with application to model order selection IEEE Transactions on Automatic Control AC-37 7 1992 913 928
    • (1992) IEEE Transactions on Automatic Control , vol.AC-37 , Issue.7 , pp. 913-928
    • Goodwin, G.C.1    Gevers, M.2    Ninness, B.3
  • 17
    • 0028493988 scopus 로고
    • ∞ and model validation
    • G. Gu Suboptimal algorithms for worst case identification in H ∞ and model validation IEEE Transactions on Automatic Control AC-39 8 1994 1657 1661
    • (1994) IEEE Transactions on Automatic Control , vol.AC-39 , Issue.8 , pp. 1657-1661
    • Gu, G.1
  • 18
    • 0035278759 scopus 로고    scopus 로고
    • ∞ identification with mixed time and frequency response data
    • G. Gu, and J. Chen A nearly interpolatory algorithm for H ∞ identification with mixed time and frequency response data IEEE Transactions on Automatic Control AC-46 3 2001 464 469
    • (2001) IEEE Transactions on Automatic Control , vol.AC-46 , Issue.3 , pp. 464-469
    • Gu, G.1    Chen, J.2
  • 19
    • 0028556116 scopus 로고
    • ∞ with applications to flexible structures
    • Baltimore, MD
    • Gu, G., Chu, C. -C., & Kim, G. (1994). Linear algorithms for worst case identification in H ∞ with applications to flexible structures. In Proceedings of the American control conference (pp. 112-116), Baltimore, MD.
    • (1994) Proceedings of the American Control Conference , pp. 112-116
    • Gu, G.1    Chu, C.-C.2    Kim, G.3
  • 20
    • 0026832094 scopus 로고
    • G. Gu, and P.P. Khargonekar A class of algorithms for identification in H ∞ Automatica 28 2 1992 299 312
    • (1992) Automatica , vol.28 , Issue.2 , pp. 299-312
    • Gu, G.1    Khargonekar, P.P.2
  • 22
    • 0027579142 scopus 로고
    • ∞ using Pick's interpolation
    • G. Gu, D. Xiong, and K. Zhou Identification in H ∞ using Pick's interpolation Systems & Control Letters 20 1993 263 272
    • (1993) Systems & Control Letters , vol.20 , pp. 263-272
    • Gu, G.1    Xiong, D.2    Zhou, K.3
  • 23
    • 0029345010 scopus 로고
    • Consistent parameter bounding identification for linearly parametrized model sets
    • R.G. Hakvoort, and P.M.J. Van den Hof Consistent parameter bounding identification for linearly parametrized model sets Automatica 31 7 1995 957 969
    • (1995) Automatica , vol.31 , Issue.7 , pp. 957-969
    • Hakvoort, R.G.1    Van Den Hof, P.M.J.2
  • 24
    • 0031271270 scopus 로고    scopus 로고
    • Identification of probabilistic system uncertainty regions by explicit evaluation of bias and variance errors
    • R.G. Hakvoort, and P.M.J. Van den Hof Identification of probabilistic system uncertainty regions by explicit evaluation of bias and variance errors IEEE Transactions on Automatic Control AC-42 11 1997 1516 1528
    • (1997) IEEE Transactions on Automatic Control , vol.AC-42 , Issue.11 , pp. 1516-1528
    • Hakvoort, R.G.1    Van Den Hof, P.M.J.2
  • 30
    • 38249021516 scopus 로고
    • On linearity of spline algorithms
    • M.A. Kon, and R. Tempo On linearity of spline algorithms Journal of Complexity 5 2 1989 251 259
    • (1989) Journal of Complexity , vol.5 , Issue.2 , pp. 251-259
    • Kon, M.A.1    Tempo, R.2
  • 31
    • 0001938114 scopus 로고    scopus 로고
    • Model validation and model error modeling
    • B. Wittenmark, & A. Rantzer (Eds.) Lund, Sweden, Studentlitteratur
    • Ljung, L. (1999). Model validation and model error modeling. In B. Wittenmark, & A. Rantzer (Eds.), The åström Symposium on Control (pp. 15-42). Lund, Sweden, Studentlitteratur.
    • (1999) The åström Symposium on Control , pp. 15-42
    • Ljung, L.1
  • 32
    • 0031235724 scopus 로고    scopus 로고
    • The role of model validation for assessing the size of the unmodeled dynamics
    • L. Ljung, and L. Guo The role of model validation for assessing the size of the unmodeled dynamics IEEE Transactions on Automatic Control AC-42 9 1997 1230 1239
    • (1997) IEEE Transactions on Automatic Control , vol.AC-42 , Issue.9 , pp. 1230-1239
    • Ljung, L.1    Guo, L.2
  • 33
    • 0022083673 scopus 로고
    • Asymptotic properties of black-box identification of transfer functions
    • L. Ljung, and Z.D. Yuan Asymptotic properties of black-box identification of transfer functions IEEE Transactions on Automatic Control AC-30 6 1985 514 530
    • (1985) IEEE Transactions on Automatic Control , vol.AC-30 , Issue.6 , pp. 514-530
    • Ljung, L.1    Yuan, Z.D.2
  • 34
    • 0343279142 scopus 로고    scopus 로고
    • ∞ identification
    • P.M. Mäkilä, and J.R. Partington Robustness in H ∞ identification Automatica 36 11 2000 1685 1691
    • (2000) Automatica , vol.36 , Issue.11 , pp. 1685-1691
    • Mäkilä, P.M.1    Partington, J.R.2
  • 35
  • 36
    • 4644331768 scopus 로고
    • Best approximation of functions specified with an error at a finite number of points
    • A.G. Marchuk, and K.Yu. Osipenko Best approximation of functions specified with an error at a finite number of points Mathematische Zametki 17 1975 359 368 (in Russian; English Transl., Mathematical Notes, Vol. 17, pp. 207-212, 1975)
    • (1975) Mathematische Zametki , vol.17 , pp. 359-368
    • Marchuk, A.G.1    Osipenko, K.Yu.2
  • 39
    • 0001592892 scopus 로고    scopus 로고
    • ∞ identification of "soft" uncertainty models
    • M. Milanese, and M. Taragna H ∞ identification of "soft" uncertainty models Systems & Control Letters 37 4 1999 217 228
    • (1999) Systems & Control Letters , vol.37 , Issue.4 , pp. 217-228
    • Milanese, M.1    Taragna, M.2
  • 42
    • 0036804820 scopus 로고    scopus 로고
    • ∞ identification
    • M. Milanese, and M. Taragna Optimality, approximation, and complexity in set membership H ∞ identification IEEE Transactions on Automatic Control AC-47 10 2002 1682 1690
    • (2002) IEEE Transactions on Automatic Control , vol.AC-47 , Issue.10 , pp. 1682-1690
    • Milanese, M.1    Taragna, M.2
  • 43
    • 0022104033 scopus 로고
    • Optimal algorithms theory for estimation and prediction
    • M. Milanese, and R. Tempo Optimal algorithms theory for estimation and prediction IEEE Transactions on Automatic Control AC-30 1985 730 738
    • (1985) IEEE Transactions on Automatic Control , vol.AC-30 , pp. 730-738
    • Milanese, M.1    Tempo, R.2
  • 44
    • 0026258792 scopus 로고
    • Optimal estimation theory for dynamic systems with set membership uncertainty: An overview
    • M. Milanese, and A. Vicino Optimal estimation theory for dynamic systems with set membership uncertainty: An overview Automatica 27 6 1991 997 1009
    • (1991) Automatica , vol.27 , Issue.6 , pp. 997-1009
    • Milanese, M.1    Vicino, A.2
  • 45
    • 0001362980 scopus 로고
    • On bounded bilinear forms
    • Z. Nehari On bounded bilinear forms Annals of Mathematics 65 1957 153 162
    • (1957) Annals of Mathematics , vol.65 , pp. 153-162
    • Nehari, Z.1
  • 46
    • 0029520979 scopus 로고
    • Estimation of model quality
    • B. Ninness, and G.C. Goodwin Estimation of model quality Automatica 31 12 1995 1771 1797
    • (1995) Automatica , vol.31 , Issue.12 , pp. 1771-1797
    • Ninness, B.1    Goodwin, G.C.2
  • 47
    • 0030258743 scopus 로고    scopus 로고
    • A set-based approach for white noise modeling
    • F. Paganini A set-based approach for white noise modeling IEEE Transactions on Automatic Control AC-41 10 1996 1453 1465
    • (1996) IEEE Transactions on Automatic Control , vol.AC-41 , Issue.10 , pp. 1453-1465
    • Paganini, F.1
  • 51
    • 0029250771 scopus 로고
    • Worst-case analysis of the least-squares method and related identification methods
    • J.R. Partington, and P.M. Mäkilä Worst-case analysis of the least-squares method and related identification methods Systems & Control Letters 24 1995 193 200
    • (1995) Systems & Control Letters , vol.24 , pp. 193-200
    • Partington, J.R.1    Mäkilä, P.M.2
  • 53
    • 0036568273 scopus 로고    scopus 로고
    • Comparing different approaches to model error modeling in robust identification
    • W. Reinelt, A. Garulli, and L. Ljung Comparing different approaches to model error modeling in robust identification Automatica 38 5 2002 787 803
    • (2002) Automatica , vol.38 , Issue.5 , pp. 787-803
    • Reinelt, W.1    Garulli, A.2    Ljung, L.3
  • 56
    • 0026892157 scopus 로고
    • Model validation: A connection between robust control and identification
    • R.S. Smith, and J.C. Doyle Model validation: A connection between robust control and identification IEEE Transactions on Automatic Control AC-37 7 1992 942 952
    • (1992) IEEE Transactions on Automatic Control , vol.AC-37 , Issue.7 , pp. 942-952
    • Smith, R.S.1    Doyle, J.C.2
  • 58
    • 0031343581 scopus 로고    scopus 로고
    • Identification in the presence of classes of unmodeled dynamics and noise
    • S.R. Venkatesh, and M.A. Dahleh Identification in the presence of classes of unmodeled dynamics and noise IEEE Transactions on Automatic Control AC-42 12 1997 1620 1635
    • (1997) IEEE Transactions on Automatic Control , vol.AC-42 , Issue.12 , pp. 1620-1635
    • Venkatesh, S.R.1    Dahleh, M.A.2
  • 60
    • 0031701912 scopus 로고    scopus 로고
    • A parameterization of all the unfalsified plant models for MIMO systems
    • T. Zhou A parameterization of all the unfalsified plant models for MIMO systems IEEE Transactions on Automatic Control AC-43 1 1998 18 30
    • (1998) IEEE Transactions on Automatic Control , vol.AC-43 , Issue.1 , pp. 18-30
    • Zhou, T.1
  • 61
    • 0033900584 scopus 로고    scopus 로고
    • Unfalsified model parametrization based on frequency domain noise information
    • T. Zhou Unfalsified model parametrization based on frequency domain noise information Automatica 36 5 2000 685 696
    • (2000) Automatica , vol.36 , Issue.5 , pp. 685-696
    • Zhou, T.1
  • 62
    • 0035706206 scopus 로고    scopus 로고
    • On the consistency between an LFT described model set and frequency domain data
    • T. Zhou On the consistency between an LFT described model set and frequency domain data IEEE Transactions on Automatic Control AC-46 12 2001 2001 2007
    • (2001) IEEE Transactions on Automatic Control , vol.AC-46 , Issue.12 , pp. 2001-2007
    • Zhou, T.1
  • 63
    • 0027555885 scopus 로고
    • Time domain identification for robust control
    • T. Zhou, and H. Kimura Time domain identification for robust control Systems & Control Letters 20 3 1993 167 178
    • (1993) Systems & Control Letters , vol.20 , Issue.3 , pp. 167-178
    • Zhou, T.1    Kimura, H.2
  • 64
    • 0029293695 scopus 로고
    • Structure of model uncertainty for a weakly corrupted plant
    • T. Zhou, and H. Kimura Structure of model uncertainty for a weakly corrupted plant IEEE Transactions on Automatic Control AC-40 4 1995 639 655
    • (1995) IEEE Transactions on Automatic Control , vol.AC-40 , Issue.4 , pp. 639-655
    • Zhou, T.1    Kimura, H.2
  • 65
    • 0036721877 scopus 로고    scopus 로고
    • Closed-loop model set validation under a stochastic framework
    • T. Zhou, L. Wang, and Z. Sun Closed-loop model set validation under a stochastic framework Automatica 38 9 2002 1449 1461
    • (2002) Automatica , vol.38 , Issue.9 , pp. 1449-1461
    • Zhou, T.1    Wang, L.2    Sun, Z.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.