메뉴 건너뛰기




Volumn 53, Issue 3, 2006, Pages 895-904

Case study of the TP-model transformation in the control of a complex dynamic model with structural nonlinearity

Author keywords

Linear matrix inequality (LMI); Model transformation; Multiple model; Parallel distributed compensation (PDC); Tensor product (TP)

Indexed keywords

COMPUTER SIMULATION; CONTROL EQUIPMENT; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR CONTROL SYSTEMS; TENSORS;

EID: 33744797404     PISSN: 02780046     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIE.2006.874265     Document Type: Article
Times cited : (32)

References (33)
  • 1
    • 1942423639 scopus 로고    scopus 로고
    • "HOSVD based TP model transformation as a way to LMI based controller design"
    • Apr
    • P. Baranyi and R. J. Patton, "HOSVD based TP model transformation as a way to LMI based controller design," IEEE Trans. Ind. Electron., vol. 51, no. 2, pp. 387-400, Apr. 2004.
    • (2004) IEEE Trans. Ind. Electron. , vol.51 , Issue.2 , pp. 387-400
    • Baranyi, P.1    Patton, R.J.2
  • 2
    • 0042700003 scopus 로고    scopus 로고
    • "From differential equations to PDC controller design via numerical transformation"
    • P. Baranyi, D. Tikk, Y. Yam, and R. J. Patton, "From differential equations to PDC controller design via numerical transformation," Comput. Ind., vol. 51, no. 3, pp. 281-297, 2003.
    • (2003) Comput. Ind. , vol.51 , Issue.3 , pp. 281-297
    • Baranyi, P.1    Tikk, D.2    Yam, Y.3    Patton, R.J.4
  • 4
    • 0001850434 scopus 로고    scopus 로고
    • "LMI techniques in control engineering from theory to practice"
    • Kobe, Japan
    • P. Apkarian, G. Becker, P. Gahinet, and H. Kajiwara, "LMI techniques in control engineering from theory to practice," in Proc. Workshop Notes CDC, Kobe, Japan, 1996, pp. 61-62.
    • (1996) Proc. Workshop Notes CDC , pp. 61-62
    • Apkarian, P.1    Becker, G.2    Gahinet, P.3    Kajiwara, H.4
  • 7
    • 0030106747 scopus 로고    scopus 로고
    • ∞ design with pole placement constraints: An LMI approach"
    • Mar
    • ∞ design with pole placement constraints: An LMI approach," IEEE Trans. Autom. Control, vol. 41, no. 3, pp. 358-367, Mar. 1996.
    • (1996) IEEE Trans. Autom. Control , vol.41 , Issue.3 , pp. 358-367
    • Chilali, M.1    Gahinet, P.2
  • 9
    • 0034144758 scopus 로고    scopus 로고
    • "A multi linear singular value decomposition"
    • Apr
    • L. D. Lathauwer, B. D. Moor, and J. Vandewalle, "A multi linear singular value decomposition," SIAM J. Matrix Anal. Appl., vol. 21, no. 4, pp. 1253-1278, Apr. 2000.
    • (2000) SIAM J. Matrix Anal. Appl. , vol.21 , Issue.4 , pp. 1253-1278
    • Lathauwer, L.D.1    Moor, B.D.2    Vandewalle, J.3
  • 10
    • 0021892282 scopus 로고
    • "Fuzzy identification of systems and its applications to modelling and control"
    • Jan./Feb
    • T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modelling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, no. 1, pp. 116-132, Jan./Feb. 1985.
    • (1985) IEEE Trans. Syst., Man, Cybern. , vol.SMC-15 , Issue.1 , pp. 116-132
    • Takagi, T.1    Sugeno, M.2
  • 11
    • 45449126257 scopus 로고
    • "Structure identification of fuzzy model"
    • M. Sugeno and G. Kang, "Structure identification of fuzzy model," Fuzzy Sets Syst., vol. 26, no. 1, pp. 15-33, 1988.
    • (1988) Fuzzy Sets Syst. , vol.26 , Issue.1 , pp. 15-33
    • Sugeno, M.1    Kang, G.2
  • 14
    • 0033115927 scopus 로고    scopus 로고
    • "Reduction of fuzzy rule base via singular value decomposition"
    • Apr
    • Y. Yam, P. Baranyi, and C. T. Yang, "Reduction of fuzzy rule base via singular value decomposition," IEEE Trans. Fuzzy Syst., vol. 71 no. 2, pp. 120-132, Apr. 1999.
    • (1999) IEEE Trans. Fuzzy Syst. , vol.71 , Issue.2 , pp. 120-132
    • Yam, Y.1    Baranyi, P.2    Yang, C.T.3
  • 15
    • 84983212264 scopus 로고    scopus 로고
    • "Nonlinear control theory for a class of structural nonlinearities in a prototypical wing section"
    • presented at the 35th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA Paper 97-0580
    • J. Ko, A. J. Kridula, and T. W. Strganac, "Nonlinear control theory for a class of structural nonlinearities in a prototypical wing section," presented at the 35th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 1997, AIAA Paper 97-0580.
    • (1997)
    • Ko, J.1    Kridula, A.J.2    Strganac, T.W.3
  • 16
    • 0030645668 scopus 로고    scopus 로고
    • "Nonlinear dynamics and control for a structurally nonlinear aeroelastic system"
    • presented at the 38th AIAA Structures, Structural Dynamics, and Materials Conf., Kissimmee, FL, AIAA Paper 97-1024
    • J. Ko, A. J. Kurdila, and T. W. Strganac, "Nonlinear dynamics and control for a structurally nonlinear aeroelastic system," presented at the 38th AIAA Structures, Structural Dynamics, and Materials Conf., Kissimmee, FL, 1997, AIAA Paper 97-1024.
    • (1997)
    • Ko, J.1    Kurdila, A.J.2    Strganac, T.W.3
  • 17
    • 0031275376 scopus 로고    scopus 로고
    • "Nonlinear control of a prototypical wing section with torsional nonlinearity"
    • Nov./Dec
    • J. Ko, A. J. Kurdila, and T. W. Strganac, "Nonlinear control of a prototypical wing section with torsional nonlinearity," J. Guid. Control Dyn., vol. 20, no. 6, pp. 1181-1189, Nov./Dec. 1997.
    • (1997) J. Guid. Control Dyn. , vol.20 , Issue.6 , pp. 1181-1189
    • Ko, J.1    Kurdila, A.J.2    Strganac, T.W.3
  • 18
    • 0026925165 scopus 로고
    • "Flutter and stall response of a helicopter blade with structural nonlinearity"
    • Sep./Oct
    • D. M. Tang and E. H. Dowell, "Flutter and stall response of a helicopter blade with structural nonlinearity," J. Aircr., vol. 29, no. 5, pp. 953-960, Sep./Oct. 1992.
    • (1992) J. Aircr. , vol.29 , Issue.5 , pp. 953-960
    • Tang, D.M.1    Dowell, E.H.2
  • 19
    • 0027912138 scopus 로고
    • "Comparison of theory and experiment for nonlinear flutter and stall response of a helicopter blade"
    • D. M. Tang and E. H. Dowell, "Comparison of theory and experiment for nonlinear flutter and stall response of a helicopter blade," J. Sound Vib., vol. 165, no. 2, pp. 251-276, 1993.
    • (1993) J. Sound Vib. , vol.165 , Issue.2 , pp. 251-276
    • Tang, D.M.1    Dowell, E.H.2
  • 20
    • 0028546375 scopus 로고
    • "Postinstability behavior of a two dimensional airfoil with a structural nonlinearity of aircraft"
    • Nov./Dec
    • S. J. Price, H. Alighanbari, and B. H. K. Lee, "Postinstability behavior of a two dimensional airfoil with a structural nonlinearity of aircraft," J. Aircr., vol. 31, no. 6, pp. 1395-1401, Nov./Dec. 1994.
    • (1994) J. Aircr. , vol.31 , Issue.6 , pp. 1395-1401
    • Price, S.J.1    Alighanbari, H.2    Lee, B.H.K.3
  • 21
    • 0028712962 scopus 로고
    • "The aeroeloasric response of a two dimensional airfoil with bilinear and cubic structural nonlinearities"
    • S.J. Price, H. Alighanbari, and B. H. K. Lee, "The aeroeloasric response of a two dimensional airfoil with bilinear and cubic structural nonlinearities," in Proc. 35th AIAA Struct. Struct. Dyn. Mater. Conf., 1994, pp. 1771-1780.
    • (1994) Proc. 35th AIAA Struct. Struct. Dyn. Mater. Conf. , pp. 1771-1780
    • Price, S.J.1    Alighanbari, H.2    Lee, B.H.K.3
  • 22
    • 0022662802 scopus 로고
    • "Flutter Analysis of Two Dimensional Airfoil With Cubic Nonlinear Restoring Force"
    • National Research Council, Ottawa, QC, Canada, National Aeronautical Establishment, Aeronautical Note-36, no. 25438
    • B. H. K. Lee and P. LeBlanc, "Flutter Analysis of Two Dimensional Airfoil With Cubic Nonlinear Restoring Force," National Research Council, Ottawa, QC, Canada, 1986. National Aeronautical Establishment, Aeronautical Note-36, no. 25438.
    • (1986)
    • Lee, B.H.K.1    LeBlanc, P.2
  • 23
    • 0025415998 scopus 로고
    • "Chaotic motions of an airfoil with non-linear stiffness in incompressible flow"
    • L. C. Zhao and Z. C. Yang, "Chaotic motions of an airfoil with non-linear stiffness in incompressible flow," J. Sound Vib., vol. 138, no. 2, pp. 245-254, 1990.
    • (1990) J. Sound Vib. , vol.138 , Issue.2 , pp. 245-254
    • Zhao, L.C.1    Yang, Z.C.2
  • 24
    • 84977108790 scopus 로고    scopus 로고
    • "Investigation of aeroelastic response for a system with continuous structural nonlinearities"
    • presented at the 37th AIAA Structures, Structural Dynamics, and Materials Conf., Sat Lake City, UT, AIAA Paper 96-1390
    • T. O'Neil, H. C. Gilliat, and T. W. Strganac, "Investigation of aeroelastic response for a system with continuous structural nonlinearities," presented at the 37th AIAA Structures, Structural Dynamics, and Materials Conf., Sat Lake City, UT, 1996, AIAA Paper 96-1390.
    • (1996)
    • O'Neil, T.1    Gilliat, H.C.2    Strganac, T.W.3
  • 25
    • 0032208512 scopus 로고    scopus 로고
    • "Applied active control for nonlinear aeroelastic structure"
    • Nov./Dec
    • J. J. Block and T. W. Strganac, "Applied active control for nonlinear aeroelastic structure," J. Guid. Control Dyn., vol. 21, no. 6, pp. 838-845, Nov./Dec. 1998.
    • (1998) J. Guid. Control Dyn. , vol.21 , Issue.6 , pp. 838-845
    • Block, J.J.1    Strganac, T.W.2
  • 26
    • 0032166295 scopus 로고    scopus 로고
    • "Adaptive feedback linearization for the control of a typical wing section with structural nonlinearity"
    • Sep./Oct
    • J. Ko, A. J. Kurdila, and T. W. Strganac, "Adaptive feedback linearization for the control of a typical wing section with structural nonlinearity," J. Guid. Control Dyn., vol. 21, no. 5, pp. 718-725, Sep./ Oct. 1998.
    • (1998) J. Guid. Control Dyn. , vol.21 , Issue.5 , pp. 718-725
    • Ko, J.1    Kurdila, A.J.2    Strganac, T.W.3
  • 30
    • 0024011347 scopus 로고
    • "Analysis of limit cycle flutter of an airfoil in incompressible flow"
    • Z. C. Yang and L. C. Zhao, "Analysis of limit cycle flutter of an airfoil in incompressible flow," J. Sound Vib., vol. 123, no. 1, pp. 1-13, 1988.
    • (1988) J. Sound Vib. , vol.123 , Issue.1 , pp. 1-13
    • Yang, Z.C.1    Zhao, L.C.2
  • 31
    • 0001274296 scopus 로고    scopus 로고
    • "New types of generalized operations computational intelligence: Soft computing and fuzzy-neuro integration with applications"
    • New York: Springer-Verlag
    • I. J. Rudas and O. Kaynak, "New types of generalized operations computational intelligence: Soft computing and fuzzy-neuro integration with applications," in Springer NATO ASI Series. Series F: Computer and Systems, Sciences, vol. 192. New York: Springer-Verlag, 1998, pp. 128-156.
    • (1998) Springer NATO ASI Series. Series F: Computer and Systems, Sciences , vol.192 , pp. 128-156
    • Rudas, I.J.1    Kaynak, O.2
  • 32
    • 0031996686 scopus 로고    scopus 로고
    • "Entropy-based operations on fuzzy sets"
    • Feb
    • I. J. Rudas and O. Kaynak, "Entropy-based operations on fuzzy sets," IEEE Trans. Fuzzy Syst., vol. 6, no. 1, pp. 33-40, Feb. 1998.
    • (1998) IEEE Trans. Fuzzy Syst. , vol.6 , Issue.1 , pp. 33-40
    • Rudas, I.J.1    Kaynak, O.2
  • 33
    • 0002178408 scopus 로고    scopus 로고
    • "Minimum and maximum fuzziness generalized operators"
    • Aug
    • I. J. Rudas and O. Kaynak, "Minimum and maximum fuzziness generalized operators," Fuzzy Sets Syst., vol. 98, no. 1, pp. 83-94, Aug. 1998.
    • (1998) Fuzzy Sets Syst. , vol.98 , Issue.1 , pp. 83-94
    • Rudas, I.J.1    Kaynak, O.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.