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Volumn 2008, Issue , 2008, Pages

Extending the root-locus method to fractional-order systems

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EID: 48249106614     PISSN: 1110757X     EISSN: 16870042     Source Type: Journal    
DOI: 10.1155/2008/528934     Document Type: Article
Times cited : (37)

References (29)
  • 1
    • 0003564548 scopus 로고    scopus 로고
    • Upper Saddle River, NJ, USA, 4th edition Prentice-Hall
    • K. Ogata, Modern Control Engineering, Prentice-Hall, Upper Saddle River, NJ, USA, 4th edition, 2001.
    • (2001) Modern Control Engineering
    • Ogata, K.1
  • 2
    • 0014711679 scopus 로고
    • "The root locus method: A survey"
    • A. M. Krall, "The root locus method: A survey," SIAM Review, vol. 12, no. 1, pp. 64-72, 1970.
    • (1970) SIAM Review , vol.12 , Issue.1 , pp. 64-72
    • Krall, A.M.1
  • 3
    • 48249158559 scopus 로고
    • "A closed expression for the root locus method"
    • A. M. Krall, "A closed expression for the root locus method," SIAM Journal on Applied Mathematics, vol. 11, no. 3, pp. 700-704, 1963.
    • (1963) SIAM Journal on Applied Mathematics , vol.11 , Issue.3 , pp. 700-704
    • Krall, A.M.1
  • 4
    • 48249147685 scopus 로고
    • "Numerical technique to trace the loci of the complex roots of characteristic equations"
    • E. Bahar and M. Fitzwater, "Numerical technique to trace the loci of the complex roots of characteristic equations," SIAM Journal on Scientific and Statistical Computing, vol. 2, no. 4, pp. 389-403, 1981.
    • (1981) SIAM Journal on Scientific and Statistical Computing , vol.2 , Issue.4 , pp. 389-403
    • Bahar, E.1    Fitzwater, M.2
  • 5
    • 0028500873 scopus 로고    scopus 로고
    • "Root-locus and boundary feedback design for a class of distributed parameter systems"
    • C. I. Byrnes, D. S. Gilliam, and J. He, "Root-locus and boundary feedback design for a class of distributed parameter systems," SIAM Journal on Control and Optimization, vol. 32, no. 5, pp. 1364- 1427, 1994.
    • SIAM Journal on Control and Optimization , vol.32 , Issue.5 , pp. 1364-1427
    • Byrnes, C.I.1    Gilliam, D.S.2    He, J.3
  • 9
    • 0024681114 scopus 로고
    • "An algorithm for determining global parameters of minimumphase systems with fractional power spectra"
    • Y.-Y. Tsao, B. Onaral, and H. H. Sun, "An algorithm for determining global parameters of minimumphase systems with fractional power spectra," IEEE Transactions on Instrumentation and Measurement, vol. 38, no. 3, pp. 723-729, 1989.
    • (1989) IEEE Transactions on Instrumentation and Measurement , vol.38 , Issue.3 , pp. 723-729
    • Tsao, Y.-Y.1    Onaral, B.2    Sun, H.H.3
  • 10
    • 15544365138 scopus 로고    scopus 로고
    • "Identification of fractional systems using an output-error technique"
    • T. Poinot and J.-C. Trigeassou, "Identification of fractional systems using an output-error technique," Nonlinear Dynamics, vol. 38, no. 1-4, pp. 133-154, 2004.
    • (2004) Nonlinear Dynamics , vol.38 , Issue.1-4 , pp. 133-154
    • Poinot, T.1    Trigeassou, J.-C.2
  • 11
    • 0032284994 scopus 로고    scopus 로고
    • "Frequency domain identification of a flexible structure with Piezoelectric actuators using irrational transfer function models"
    • in Tampa, Fla USA, December
    • B. M. Vinagre, V. Feliu, and J. J. Feliu, "Frequency domain identification of a flexible structure with Piezoelectric actuators using irrational transfer function models," in Proceedings of the 37th IEEE Conference on Decision and Control (CDC '98), vol. 2, pp. 1278-1280, Tampa, Fla USA, December 1998.
    • (1998) Proceedings of the 37th IEEE Conference on Decision and Control (CDC '98) , vol.2 , pp. 1278-1280
    • Vinagre, B.M.1    Feliu, V.2    Feliu, J.J.3
  • 12
    • 0038417181 scopus 로고    scopus 로고
    • "Use of noninteger identification models for monitoring soil water content"
    • A. Chauchois, D. Didier, A. Emmanuel, and D. Bruno, "Use of noninteger identification models for monitoring soil water content," Measurement Science and Technology, vol. 14, no. 6, pp. 868-874, 2003.
    • (2003) Measurement Science and Technology , vol.14 , Issue.6 , pp. 868-874
    • Chauchois, A.1    Didier, D.2    Emmanuel, A.3    Bruno, D.4
  • 14
    • 33745712058 scopus 로고    scopus 로고
    • "Tuning of fractional PID controllers with Ziegler-Nichols-type rules"
    • D. Valério and J. Sáda Costa, "Tuning of fractional PID controllers with Ziegler-Nichols-type rules," Signal Processing, vol. 86, no. 10, pp. 2771-2784, 2006.
    • (2006) Signal Processing , vol.86 , Issue.10 , pp. 2771-2784
    • Valério, D.1    Sáda Costa, J.2
  • 15
    • 0343715573 scopus 로고    scopus 로고
    • "State-space representation for fractional order controllers"
    • H.-F. Raynaud and A. Zergaïnoh, "State-space representation for fractional order controllers," Automatica, vol. 36, no. 7, pp. 1017-1021, 2000.
    • (2000) Automatica , vol.36 , Issue.7 , pp. 1017-1021
    • Raynaud, H.-F.1    Zergaïnoh, A.2
  • 16
    • 85019485305 scopus 로고
    • "The CRONE control of resonant plants: Application to a flexible transmission"
    • A. Oustaloup, B. Mathieu, and P. Lanusse, "The CRONE control of resonant plants: Application to a flexible transmission," European Journal of Control, vol. 1, no. 2, pp. 113-121, 1995.
    • (1995) European Journal of Control , vol.1 , Issue.2 , pp. 113-121
    • Oustaloup, A.1    Mathieu, B.2    Lanusse, P.3
  • 19
    • 84981825145 scopus 로고
    • "Definition of physically consistent damping laws with fractional derivatives"
    • H. Beyer and S. Kempfle, "Definition of physically consistent damping laws with fractional derivatives," Zeitschrift für Angewandte Mathematik und Mechanik, vol. 75, no. 8, pp. 623-635, 1995.
    • (1995) Zeitschrift Für Angewandte Mathematik Und Mechanik , vol.75 , Issue.8 , pp. 623-635
    • Beyer, H.1    Kempfle, S.2
  • 20
    • 0017453155 scopus 로고
    • "Generalization of Routh's algorithm and stability criterion for non-integer integral system"
    • M. Ikeda and S. Takahashi, "Generalization of Routh's algorithm and stability criterion for non-integer integral system," Electronics and Communications in Japan, vol. 60, no. 2, pp. 41-50, 1977.
    • (1977) Electronics and Communications in Japan , vol.60 , Issue.2 , pp. 41-50
    • Ikeda, M.1    Takahashi, S.2
  • 25
    • 0002731965 scopus 로고    scopus 로고
    • "Stability results on fractional differential equations with applications to control processing"
    • in CESA96 IMACSIEEE/SMC Multiconference Lille, France, July
    • D. Matignon, "Stability results on fractional differential equations with applications to control processing," in Proceedings of the Computational Engineering in Systems Applications, CESA96 IMACSIEEE/SMC Multiconference, pp. 963-968, Lille, France, July 1996.
    • (1996) Proceedings of the Computational Engineering in Systems Applications , pp. 963-968
    • Matignon, D.1
  • 27
    • 48249091111 scopus 로고
    • "The asymptotes of the root locus"
    • G. Berman and R. G. Stanton, "The asymptotes of the root locus," SIAM Review, vol. 5, no. 3, pp. 209-218, 1963.
    • (1963) SIAM Review , vol.5 , Issue.3 , pp. 209-218
    • Berman, G.1    Stanton, R.G.2
  • 29
    • 0003797958 scopus 로고    scopus 로고
    • Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications, of Mathematics in Science and Engineering, Academic Press, San Diego, Calif, USA
    • I. Podlubny, Fractional Di.erential Equations: An Introduction to Fractional Derivatives, Fractional Di.erential Equations, to Methods of Their Solution and Some of Their Applications, vol. 198 of Mathematics in Science and Engineering, Academic Press, San Diego, Calif, USA, 1999.
    • (1999) Fractional Differential Equations: An Introduction to Fractional Derivatives , vol.198
    • Podlubny, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.