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Volumn 56, Issue 4, 2009, Pages 401-407

Approximating fractional derivatives in the perspective of system control

Author keywords

Control; Discretization schemes; Fractional calculus

Indexed keywords

AUTOMATIC CONTROLS; DISCRETE-TIME; DISCRETIZATION SCHEMES; FRACTIONAL CALCULUS; FRACTIONAL DERIVATIVES; NONLINEAR SYSTEM CONTROLS; NOVEL METHODS; SYSTEM CONTROLS; TWO DEGREES OF FREEDOMS;

EID: 67349106716     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-008-9409-4     Document Type: Article
Times cited : (35)

References (24)
  • 4
    • 0020751558 scopus 로고
    • FRACTIONAL CALCULUS - A DIFFERENT APPROACH to the ANALYSIS of VISCOELASTICALLY DAMPED STRUCTURES.
    • R.L. Bagley P.J. Torvik 1983 Fractional calculus-a different approach to the analysis of viscoelastically damped structures AIAA J. 21 5 741 748 (Pubitemid 13561477)
    • (1983) AIAA Journal , vol.21 , Issue.5 , pp. 741-748
    • Bagley Ronald, L.1    Torvik Peter, J.2
  • 5
    • 0022492943 scopus 로고
    • REALIZATION of the GENERALIZED TRANSFER EQUATION in A MEDIUM with FRACTAL GEOMETRY.
    • R.R. Nigmatullin 1986 The realization of the generalized transfer equation in a medium with fractal geometry Phys. Status Solidi 133 425 430 (Pubitemid 16505297)
    • (1986) Physica Status Solidi (B) Basic Research , vol.133 , Issue.1 , pp. 425-430
    • Nigmatullin, R.R.1
  • 8
    • 0028696254 scopus 로고
    • The fractional-order dynamics of brainstem vestibulo-oculomotor neurons
    • T.J. Anastasio 1994 The fractional-order dynamics of brainstem vestibulo-oculomotor neurons Biol. Cybern. 72 1 69 79
    • (1994) Biol. Cybern. , vol.72 , Issue.1 , pp. 69-79
    • Anastasio, T.J.1
  • 10
    • 0030464353 scopus 로고    scopus 로고
    • Fractional relaxation-oscillation and fractional diffusion-wave phenomena
    • F. Mainardi 1996 Fractional relaxation-oscillation and fractional diffusion-wave phenomena Chaos Solitons Fractals 7 9 1461 1477 (Pubitemid 27031606)
    • (1996) Chaos, Solitons and Fractals , vol.7 , Issue.9 , pp. 1461-1477
    • Mainardi, F.1
  • 11
    • 0030651602 scopus 로고    scopus 로고
    • Analysis and design of fractional-order digital control systems
    • J.T. Machado 1997 Analysis and design of fractional-order digital control systems Syst. Anal. Model. Simul. 27 2-3 107 122
    • (1997) Syst. Anal. Model. Simul. , vol.27 , Issue.2-3 , pp. 107-122
    • MacHado, J.T.1
  • 14
    • 0027545685 scopus 로고
    • Novel digital integrator and differentiator
    • M.A. Al-Alaoui 1993 Novel digital integrator and differentiator Electron. Lett. 29 4 376 378
    • (1993) Electron. Lett. , vol.29 , Issue.4 , pp. 376-378
    • Al-Alaoui, M.A.1
  • 15
    • 0031248761 scopus 로고    scopus 로고
    • Filling the gap between the bilinear and the backward-difference transforms: An interactive design approach
    • M.A. Al-Alaoui 1997 Filling the gap between the bilinear and the backward-difference transforms: an interactive design approach Int. J. Electr. Eng. Educ. 34 4 331 337 (Pubitemid 127653414)
    • (1997) International Journal of Electrical Engineering Education , vol.34 , Issue.4 , pp. 331-337
    • Al-Alaoui, M.A.1
  • 18
    • 0035280591 scopus 로고    scopus 로고
    • Design of fractional order digital fir differentiators
    • C.C. Tseng 2001 Design of fractional order digital fir differentiators IEEE Signal Process. Lett. 8 3 77 79
    • (2001) IEEE Signal Process. Lett. , vol.8 , Issue.3 , pp. 77-79
    • Tseng, C.C.1
  • 19
    • 0242270972 scopus 로고    scopus 로고
    • Two direct Tustin discretization methods for fractional-order differentiator/integrator
    • B.M. Vinagre Y.Q. Chen I. Petras 2003 Two direct Tustin discretization methods for fractional-order differentiator/integrator J. Franklin Inst. 340 5 349 362
    • (2003) J. Franklin Inst. , vol.340 , Issue.5 , pp. 349-362
    • Vinagre, B.M.1    Chen, Y.Q.2    Petras, I.3
  • 20
    • 0141961689 scopus 로고    scopus 로고
    • A new IIR-type digital fractional-order differentiator
    • Y.Q. Chen B.M. Vinagre 2003 A new IIR-type digital fractional-order differentiator Signal Process. 83 11 2359 2365
    • (2003) Signal Process. , vol.83 , Issue.11 , pp. 2359-2365
    • Chen, Y.Q.1    Vinagre, B.M.2
  • 21
    • 15544372160 scopus 로고    scopus 로고
    • Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review
    • Y.Q. Chen B.M. Vinagre I. Podlubny 2004 Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review Nonlinear Dyn. 38 1-4 155 170
    • (2004) Nonlinear Dyn. , vol.38 , Issue.1-4 , pp. 155-170
    • Chen, Y.Q.1    Vinagre, B.M.2    Podlubny, I.3
  • 23
    • 33745932867 scopus 로고    scopus 로고
    • Time domain design of fractional differintegrators using least-squares
    • DOI 10.1016/j.sigpro.2006.02.005, PII S0165168406000430, Fractional Calculus Applications in Signals and Systems
    • R.S. Barbosa J.T. Machado M.F. Silva 2006 Time domain design of fractional differintegrators using least squares approximations Signal Process. 86 10 2567 2581 (Pubitemid 44055895)
    • (2006) Signal Processing , vol.86 , Issue.10 , pp. 2567-2581
    • Barbosa, R.S.1    Tenreiro MacHado, J.A.2    Silva, M.F.3
  • 24
    • 67349226613 scopus 로고    scopus 로고
    • A new method for approximating fractional derivatives: Application in non-linear control
    • Saint Petersburg, Russia
    • Machado, J.T., Galhano, A.: A new method for approximating fractional derivatives: application in non-linear control. In: ENOC 2008-6th EUROMECH Conference, Saint Petersburg, Russia (2008)
    • (2008) ENOC 2008-6th EUROMECH Conference
    • MacHado, J.T.1    Galhano, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.