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Volumn 15, Issue 1, 2002, Pages 389-400

A survey of applications of interval analysis to robust control

Author keywords

Interval analysis; Robust control; Uncertain systems

Indexed keywords

AUTOMATION; DIGITAL CONTROL SYSTEMS; ROBUST CONTROL; SURVEYS; UNCERTAIN SYSTEMS;

EID: 84945582672     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20020721-6-es-1901.00399     Document Type: Conference Paper
Times cited : (8)

References (79)
  • 7
    • 0030716647 scopus 로고    scopus 로고
    • Guaranteed analysis and optimisation of parametric systems with application to their stability degree
    • Didrit, O, L. Jaulin and E. Walter (1997). Guaranteed analysis and optimisation of parametric systems with application to their stability degree. European Journal of Control (3), 68-80.
    • (1997) European Journal of Control , Issue.3 , pp. 68-80
    • Didrit, O.1    Jaulin, L.2    Walter, E.3
  • 8
    • 0028579347 scopus 로고
    • Robust performance design via simultaneous polynomial stabilization
    • Djaferis, T. (1994). Robust performance design via simultaneous polynomial stabilization. In: Proc. of the American Control Conference. pp. 1008-1013.
    • (1994) Proc. of the American Control Conference , pp. 1008-1013
    • Djaferis, T.1
  • 11
    • 0034546605 scopus 로고    scopus 로고
    • Controller design for slowly varying interval plants using gain scheduling and interval mathematics
    • Chicago, Illinois
    • Fadali, M. Sami and Kenneth H. McNichols (2000). Controller design for slowly varying interval plants using gain scheduling and interval mathematics. In: Proceedings of the American Control Conference Chicago, Illinois.
    • (2000) Proceedings of the American Control Conference
    • Fadali, M.S.1    McNichols, K.H.2
  • 13
    • 5844340178 scopus 로고
    • Un nuovo problema di stabilità per le equazioni algebriche a coefficienti reali
    • Faedo, Sandro (1953). Un nuovo problema di stabilità per le equazioni algebriche a coefficienti reali. Annali della Scuola Normale Superiore di Pisa 7, 53-63.
    • (1953) Annali della Scuola Normale Superiore di Pisa , vol.7 , pp. 53-63
    • Faedo, S.1
  • 14
    • 84945538183 scopus 로고    scopus 로고
    • A new interval bounding algorithm for parameter estimation from bounded-error data
    • Beijing P.R. China
    • Feng, Xin, George F. Corliss and Richard W. Kelnhofer (1999). A new interval bounding algorithm for parameter estimation from bounded-error data. In: Proceedings of 14th Triennal IFAC Worl Congress, Beijing P.R. China.
    • (1999) Proceedings of 14th Triennal IFAC Worl Congress
    • Feng, X.1    Corliss, G.F.2    Kelnhofer, R.W.3
  • 17
    • 84945544309 scopus 로고    scopus 로고
    • Special issue on applications to control, signals and systems
    • Garloff, J. and E. Walter (2000). Special issue on applications to control, signals and systems. Reliable Computing 6(3), 229-361.
    • (2000) Reliable Computing , vol.6 , Issue.3 , pp. 229-361
    • Garloff, J.1    Walter, E.2
  • 18
    • 0041987327 scopus 로고    scopus 로고
    • Speeding up an algorithm for checking robust stability of polynomials
    • Elsevier Science, Oxford
    • Garloff, Juergen, Birgit Graft and Michael Zetler (1998). Speeding up an algorithm for checking robust stability of polynomials. Proc. of the IFAC Symposium on Robust Control Design, Elsevier Science, Oxford pp. 183-188.
    • (1998) Proc. of the IFAC Symposium on Robust Control Design , pp. 183-188
    • Garloff, J.1    Graft, B.2    Zetler, M.3
  • 19
    • 0032688367 scopus 로고    scopus 로고
    • Robust schur stability of polynomials with polynomial parameter dependency
    • Garloff, Jurgen and Birgit Graft (1999). Robust schur stability of polynomials with polynomial parameter dependency. Multidimensional Systems and Signal Processing. 10, 189-199.
    • (1999) Multidimensional Systems and Signal Processing. , vol.10 , pp. 189-199
    • Garloff, J.1    Graft, B.2
  • 22
    • 84988358528 scopus 로고    scopus 로고
    • A genetic/interval approach to optimal trajectory planning of industrial robots under torque constraints
    • ECC'99 (CD-Rom)
    • Guarino Lo Bianco, C. and A. Piazzi (1999a). A genetic/interval approach to optimal trajectory planning of industrial robots under torque constraints. In: Proceedings of European Control Conference. ECC'99. pp. (CD-Rom).
    • (1999) Proceedings of European Control Conference
    • Guarino Lo Bianco, C.1    Piazzi, A.2
  • 24
    • 84945554317 scopus 로고    scopus 로고
    • A control toolbox using polynomial matrices and interval arithmetic
    • Nanking, China
    • Haas, Werner (1998). A control toolbox using polynomial matrices and interval arithmetic. In: Proceedings of Interval98. Nanking, China.
    • (1998) Proceedings of Interval98
    • Haas, W.1
  • 27
    • 84945577317 scopus 로고    scopus 로고
    • A formal approach to verification of linear analog circuits with parameter tolerances
    • Hedrich, Lars and Erich Barke (1999). A formal approach to verification of linear analog circuits with parameter tolerances. "Entwicklung von Analogschaltungen mit CAE-Methoden".
    • (1999) Entwicklung von Analogschaltungen Mit CAE-Methoden
    • Hedrich, L.1    Barke, E.2
  • 28
    • 0027627483 scopus 로고
    • Set inversion via interval analysis for nonlinear bounded-error estimation
    • Jaulin, L. and E. Walter (1993). Set inversion via interval analysis for nonlinear bounded-error estimation. Automatica 29, 1053-1064.
    • (1993) Automatica , vol.29 , pp. 1053-1064
    • Jaulin, L.1    Walter, E.2
  • 29
    • 0141849373 scopus 로고    scopus 로고
    • Guaranteed nonlinear set estimation via interval analysis
    • M. Milanese, J. Norton, H. Piet-Lahanier and É. Walter (eds.), Plenum, New York
    • Jaulin, L. and E. Walter (1996a). Guaranteed nonlinear set estimation via interval analysis. In: Bounding Approaches to System Identification. M. Milanese, J. Norton, H. Piet-Lahanier and É. Walter (eds.), Plenum, New York. pp. 363-382.
    • (1996) Bounding Approaches to System Identification , pp. 363-382
    • Jaulin, L.1    Walter, E.2
  • 30
    • 0030218755 scopus 로고    scopus 로고
    • Guaranteed tuning, with application to robust control and motion planning
    • Jaulin, L. and E. Walter (1996b). Guaranteed tuning, with application to robust control and motion planning. Automatica 32(8), 1217-1221.
    • (1996) Automatica , vol.32 , Issue.8 , pp. 1217-1221
    • Jaulin, L.1    Walter, E.2
  • 31
    • 0031165444 scopus 로고    scopus 로고
    • Global numerical approach to nonlinear discrete-time control
    • Jaulin, L. and E. Walter (1997). Global numerical approach to nonlinear discrete-time control. IEEE Trans. on Automatic Control 42(6), 872-875.
    • (1997) IEEE Trans. on Automatic Control , vol.42 , Issue.6 , pp. 872-875
    • Jaulin, L.1    Walter, E.2
  • 32
    • 0033131201 scopus 로고    scopus 로고
    • Guaranteed parameter bounding for nonlinear models with uncertain experimental factors
    • Jaulin, L. and E. Walter (1999). Guaranteed parameter bounding for nonlinear models with uncertain experimental factors. Automatica 35(5), 849-856.
    • (1999) Automatica , vol.35 , Issue.5 , pp. 849-856
    • Jaulin, L.1    Walter, E.2
  • 33
    • 0033116691 scopus 로고    scopus 로고
    • Proving set inclusion via intervals: Application to parametric robust stability
    • Jaulin, L. and J. Burger (1999). Proving set inclusion via intervals: Application to parametric robust stability. Automatica 35, 627-632.
    • (1999) Automatica , vol.35 , pp. 627-632
    • Jaulin, L.1    Burger, J.2
  • 34
    • 0042224436 scopus 로고    scopus 로고
    • Estimation of discrete-event systems using interval computation
    • Jaulin, L., J.L. Boimond and L. Hardouin (1999). Estimation of discrete-event systems using interval computation. Reliable computing 5(2), 165-173.
    • (1999) Reliable Computing , vol.5 , Issue.2 , pp. 165-173
    • Jaulin, L.1    Boimond, J.L.2    Hardouin, L.3
  • 38
    • 0029507138 scopus 로고
    • A numerical algorithm for robust stabilization of a linear parametric uncertain system
    • Kwon, S.I. and J.T. Cain (1995). A numerical algorithm for robust stabilization of a linear parametric uncertain system. In: Proceedings of the 34th Conference on Decision and Control. pp. 132-135.
    • (1995) Proceedings of the 34th Conference on Decision and Control , pp. 132-135
    • Kwon, S.I.1    Cain, J.T.2
  • 40
    • 0031189803 scopus 로고    scopus 로고
    • Robust analysis and design of control systems using interval arithmetic
    • Malan, S., M Milanese and M. Taragna (1997). Robust analysis and design of control systems using interval arithmetic. Automatica 33(7), 1363-1372.
    • (1997) Automatica , vol.33 , Issue.7 , pp. 1363-1372
    • Malan, S.1    Milanese, M.2    Taragna, M.3
  • 41
    • 0002523490 scopus 로고
    • B3 algorithm for robust performance analysis in presence of mixed partametric and dynamic perturbations
    • Malan, S., M. Milanese, M. Taragna and J. Garloff (1992). B3 algorithm for robust performance analysis in presence of mixed partametric and dynamic perturbations. In: Proc. 31st IEEE CDC. pp. 128-133.
    • (1992) Proc. 31st IEEE CDC , pp. 128-133
    • Malan, S.1    Milanese, M.2    Taragna, M.3    Garloff, J.4
  • 42
    • 33947143640 scopus 로고    scopus 로고
    • Linear interpolation and estimation using interval analysis
    • Milanese, M.; Norton, J. P.; P.-Lahanier H.; Water, E. (Eds.), Plenum Press, London, N. Y.
    • Markov, S. and E. Popova (1996). Linear interpolation and estimation using interval analysis. In: Bounding Approaches to System Identification. In: Milanese, M.; Norton, J. P.; P.-Lahanier H.; Water, E. (Eds.), Plenum Press, London, N. Y. pp. 139-157.
    • (1996) Bounding Approaches to System Identification , pp. 139-157
    • Markov, S.1    Popova, E.2
  • 44
    • 0024907255 scopus 로고
    • On stabilization of systems with uncertain parameters: An interval arithmetic approach
    • Misra, Pradeep (1989). On stabilization of systems with uncertain parameters: An interval arithmetic approach. In: Proc. Of the American Control Conference.
    • (1989) Proc. of the American Control Conference
    • Misra, P.1
  • 45
    • 0004293209 scopus 로고
    • Prentice-Hall series in automation comp. Englewood Cliffs, N.J., Prentice-Hall
    • Moore, Ramon Edgar (1966). Interval Analysis. Prentice-Hall series in automation comp. Englewood Cliffs, N.J., Prentice-Hall.
    • (1966) Interval Analysis
    • Moore, R.E.1
  • 46
    • 0003236553 scopus 로고
    • Methods and applications of interval analysis
    • Philadelphia: Siam, 1979
    • Moore, Ramon Edgar (1979). Methods and applications of interval analysis. SIAM studies in applied mathematics; 2. Philadelphia: Siam, 1979.
    • (1979) SIAM Studies in Applied Mathematics , vol.2
    • Moore, R.E.1
  • 48
    • 84945562024 scopus 로고    scopus 로고
    • Construction of bode plot envelopes using the moore-skelboe optimization algorithm
    • Bhubaneshwar, 1999
    • Nataraj, P.S.V. and Gautam Sardar (1999). Construction of bode plot envelopes using the moore-skelboe optimization algorithm. In: Conference on Information Technology, Bhubaneshwar, 1999. pp. 224-229.
    • (1999) Conference on Information Technology , pp. 224-229
    • Nataraj, P.S.V.1    Sardar, G.2
  • 50
    • 0033905386 scopus 로고    scopus 로고
    • Template generation for continuous transfer functions using interval analysis
    • Nataraj, P.S.V. and Gautam Sardar (2000b). Template generation for continuous transfer functions using interval analysis. Automatica 36, 111-119.
    • (2000) Automatica , vol.36 , pp. 111-119
    • Nataraj, P.S.V.1    Sardar, G.2
  • 52
    • 0343145982 scopus 로고
    • Polygon interval arithmetic and interval evaluation of value sets of transfer functions
    • Ohta, Y., L. Gong and H. Haneda (1994a). Polygon interval arithmetic and interval evaluation of value sets of transfer functions. IEICE Trans. Fundamentals E77-A(6), 1033-1042.
    • (1994) IEICE Trans. Fundamentals , vol.E77-A , Issue.6 , pp. 1033-1042
    • Ohta, Y.1    Gong, L.2    Haneda, H.3
  • 54
    • 0034250852 scopus 로고    scopus 로고
    • Nonconvex polygon interval arithmetic as a tool for the analysis and design of robust control systems
    • Ohta, Yuzo (2000). Nonconvex polygon interval arithmetic as a tool for the analysis and design of robust control systems. Reliable Computing 6, 247-279.
    • (2000) Reliable Computing , vol.6 , pp. 247-279
    • Ohta, Y.1
  • 56
    • 20344375782 scopus 로고
    • Fast solving of 0-exclusion problems of value sets of multilinear functions via PIA
    • Rome, Italy
    • Ohta, Yuzo, Akira Isogai, Kiyoharu Tagawa and Hiromasa Haneda (1995). Fast solving of 0-exclusion problems of value sets of multilinear functions via PIA. In: Proceedings of 3rd European Control Conference - Rome, Italy.
    • (1995) Proceedings of 3rd European Control Conference
    • Ohta, Y.1    Isogai, A.2    Tagawa, K.3    Haneda, H.4
  • 61
    • 0032205873 scopus 로고    scopus 로고
    • Global minimum-time trajectory planning of mechanical manipulators using interval analysis
    • Piazzi, Aurelio and Antonio Visioli (1998a). Global minimum-time trajectory planning of mechanical manipulators using interval analysis. International Journal of Control 71(4), 631-652.
    • (1998) International Journal of Control , vol.71 , Issue.4 , pp. 631-652
    • Piazzi, A.1    Visioli, A.2
  • 63
    • 0030386206 scopus 로고    scopus 로고
    • Robust stability using interval analysis
    • Piazzi, Aurelio and Giovanni Marro (1996). Robust stability using interval analysis. International Journal of Systems Science 27(12), 1381-1390.
    • (1996) International Journal of Systems Science , vol.27 , Issue.12 , pp. 1381-1390
    • Piazzi, A.1    Marro, G.2
  • 64
    • 0034998687 scopus 로고    scopus 로고
    • Variability analysis and robust design of electronic system using cellular evolutionary strategies and interval arithmetic techniques
    • Rocco, Claudio M., A.J. Miller, J.A. Moreno and N. Carrasquero (2001). Variability analysis and robust design of electronic system using cellular evolutionary strategies and interval arithmetic techniques. In: Annual Reliability and Maintainability Symposium.
    • (2001) Annual Reliability and Maintainability Symposium
    • Rocco, C.M.1    Miller, A.J.2    Moreno, J.A.3    Carrasquero, N.4
  • 66
    • 0035371477 scopus 로고    scopus 로고
    • Robust control using interval analysis
    • Shashikhin, Vladimir N. (2001). Robust control using interval analysis. Reliable Computing 7, 219-230.
    • (2001) Reliable Computing , vol.7 , pp. 219-230
    • Shashikhin, V.N.1
  • 67
    • 0030084867 scopus 로고    scopus 로고
    • Digital interval modelling and hybrid control of uncertain systems
    • Shieh, Leang-San, Xiang Zou and Norman P. Coleman (1996). Digital interval modelling and hybrid control of uncertain systems. IEEE Trans. on Industrial Electronics 43(1), 173-183.
    • (1996) IEEE Trans. on Industrial Electronics , vol.43 , Issue.1 , pp. 173-183
    • Shieh, L.-S.1    Zou, X.2    Coleman, N.P.3
  • 68
    • 84945539100 scopus 로고    scopus 로고
    • Model conversion of discrete-time uncertain systems via the interval geometric-series method
    • Beijing, P.R. China IFAC
    • Shieh, Leang-San, Xiang Zou and Norman P. Coleman (1999). Model conversion of discrete-time uncertain systems via the interval geometric-series method. In: Proceedings of 14th Triennial World Congress Beijing, P.R. China IFAC.
    • (1999) Proceedings of 14th Triennial World Congress
    • Shieh, L.-S.1    Zou, X.2    Coleman, N.P.3
  • 69
    • 0034543918 scopus 로고    scopus 로고
    • Robust modal p and PI regulator synthesis for a plant with interval parameters in the state space
    • Chicago, Illinois
    • Smagina, Yelena and Irina Brewer (2000). Robust modal p and PI regulator synthesis for a plant with interval parameters in the state space. In: Proceedings of the American Control Conference. Chicago, Illinois.
    • (2000) Proceedings of the American Control Conference
    • Smagina, Y.1    Brewer, I.2
  • 70
    • 0009436525 scopus 로고    scopus 로고
    • A new approach to the modal regulator synthesis for interval plant with scalar input
    • Smagina, Yelena M. (1997). A new approach to the modal regulator synthesis for interval plant with scalar input. Reliable computing 3, 401-410.
    • (1997) Reliable Computing , vol.3 , pp. 401-410
    • Smagina, Y.M.1
  • 72
    • 0034249528 scopus 로고    scopus 로고
    • Analysis of the robustness of predictive controllers via modal intervals
    • Vehí, J., J. Rodellar, M.A. Sainz and J. Armengol (2000a). Analysis of the robustness of predictive controllers via modal intervals. Reliable Computing 6(3), 281-301.
    • (2000) Reliable Computing , vol.6 , Issue.3 , pp. 281-301
    • Vehí, J.1    Rodellar, J.2    Sainz, M.A.3    Armengol, J.4
  • 77
    • 0028413275 scopus 로고
    • Guaranteed characterization of stability domains via set inversion
    • Walter, E. and L. Jaulin (1994). Guaranteed characterization of stability domains via set inversion. IEEE Trans. on Automatic Control AC-35, 835-841.
    • (1994) IEEE Trans. on Automatic Control , vol.AC-35 , pp. 835-841
    • Walter, E.1    Jaulin, L.2
  • 79
    • 0343587915 scopus 로고    scopus 로고
    • H-inf.-control using polynomial matrices and interval arithmetic
    • Weinhofer, Jurgen K. and Werner C. Haas (1997). H-inf.-control using polynomial matrices and interval arithmetic. Reliable computing 3, 229-237.
    • (1997) Reliable Computing , vol.3 , pp. 229-237
    • Weinhofer, J.K.1    Haas, W.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.