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Volumn , Issue , 2007, Pages 1224-1227

Fractional derivative control designs by inhomogeneous sampling for systems with nonlinear elements

Author keywords

Backlash nonlinearity; Discrete model; Fractional derivative; PID control; Stieltjes integral

Indexed keywords

CONTROL SYSTEMS; NUMERICAL METHODS; PENDULUMS; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS; TWO TERM CONTROL SYSTEMS;

EID: 50249147377     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SICE.2007.4421171     Document Type: Conference Paper
Times cited : (5)

References (13)
  • 1
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    • A numerical algorithm of time response for fractional differential equations
    • F. Ikeda, S. Kawata and T. Oguchi, "A numerical algorithm of time response for fractional differential equations", Trans. of the SICE, Vol.37, No.8, pp.795-797, 2001.
    • (2001) Trans. of the SICE , vol.37 , Issue.8 , pp. 795-797
    • Ikeda, F.1    Kawata, S.2    Oguchi, T.3
  • 2
    • 50249182054 scopus 로고    scopus 로고
    • A numerical algorithm of discrete fractional calculus by using non-uniformly sampling data
    • F. Ikeda, "A numerical algorithm of discrete fractional calculus by using non-uniformly sampling data", Trans. of the SICE, Vol.42, No.8, pp.941-948, 2006.
    • (2006) Trans. of the SICE , vol.42 , Issue.8 , pp. 941-948
    • Ikeda, F.1
  • 3
    • 0000717432 scopus 로고
    • Discretized fractional calculus
    • CH. Lubich, "Discretized fractional calculus", SIAM J. Math. Anal., Vol.17, No.3, pp.704-719, 1986.
    • (1986) SIAM J. Math. Anal , vol.17 , Issue.3 , pp. 704-719
    • Lubich, C.H.1
  • 4
    • 15544387253 scopus 로고    scopus 로고
    • The time-scaled trapezoidal integration rule for discrete fractional order controllers
    • C. Ma, and Y Hori, "The time-scaled trapezoidal integration rule for discrete fractional order controllers", Nonlinear Dynamics, Vol.38, pp. 171-180, 2004.
    • (2004) Nonlinear Dynamics , vol.38 , pp. 171-180
    • Ma, C.1    Hori, Y.2
  • 5
    • 0009980567 scopus 로고
    • The system design by the use of a model consisting of a saturation and non-integer integrals
    • S. Manabe, "The system design by the use of a model consisting of a saturation and non-integer integrals", Journal of I.E.E. Japan, Vol.80, No.860, pp. 1731-1740, 1962.
    • (1962) Journal of I.E.E. Japan , vol.80 , Issue.860 , pp. 1731-1740
    • Manabe, S.1
  • 12
    • 0242270972 scopus 로고    scopus 로고
    • Two direct tustin discretization methods for fractional-order differentiator/integrator
    • B. M. Vinagure, Y Q. Chen and I. Petras, "Two direct tustin discretization methods for fractional-order differentiator/integrator", Journal of the Franklin Institute, Vol.340, pp.349-362, 2003.
    • (2003) Journal of the Franklin Institute , vol.340 , pp. 349-362
    • Vinagure, B.M.1    Chen, Y.Q.2    Petras, I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.