메뉴 건너뛰기




Volumn 91, Issue 3, 2011, Pages 508-512

Stability preservation analysis in direct discretization of fractional order transfer functions

Author keywords

Approximation; Discretization; Fractional order system; Stability

Indexed keywords

APPROXIMATION; DIRECT METHOD; DISCRETIZATION METHOD; DISCRETIZATIONS; DISCRETIZED MODELS; FRACTIONAL ORDER TRANSFER FUNCTION; FRACTIONAL-ORDER SYSTEMS; ILLUSTRATIVE EXAMPLES; ORIGINAL SYSTEMS; STABILITY BOUNDARIES;

EID: 78049331182     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2010.06.009     Document Type: Article
Times cited : (18)

References (17)
  • 1
    • 33847623276 scopus 로고    scopus 로고
    • Fractional robust control of main irrigation canals with variable dynamic parameters
    • V. Feliu-Batlle, R. Rivas Perez, and L. Sanchez Rodrigue Fractional robust control of main irrigation canals with variable dynamic parameters Control Eng. Pract. 15 2007 673 686
    • (2007) Control Eng. Pract. , vol.15 , pp. 673-686
    • Feliu-Batlle, V.1    Rivas Perez, R.2    Sanchez, R.L.3
  • 2
    • 34548023429 scopus 로고    scopus 로고
    • Tip position control of a lightweight flexible manipulator using a fractional order controller
    • C.A. Monje, F. Ramos, V. Feliu, and B.M. Vinagre Tip position control of a lightweight flexible manipulator using a fractional order controller IET Control Theory Appl. 1 2007 1451 1460
    • (2007) IET Control Theory Appl. , vol.1 , pp. 1451-1460
    • Monje, C.A.1    Ramos, F.2    Feliu, V.3    Vinagre, B.M.4
  • 3
    • 56349146591 scopus 로고    scopus 로고
    • Some applications of fractional calculus in suppression of chaotic oscillations
    • M.S. Tavazoei, M. Haeri, S. Jafari, S. Bolouki, and M. Siami Some applications of fractional calculus in suppression of chaotic oscillations IEEE Trans. Ind. Electron. 55 11 2008 4098 4101
    • (2008) IEEE Trans. Ind. Electron. , vol.55 , Issue.11 , pp. 4098-4101
    • Tavazoei, M.S.1    Haeri, M.2    Jafari, S.3    Bolouki, S.4    Siami, M.5
  • 4
    • 41549148741 scopus 로고    scopus 로고
    • Tuning and auto tuning of fractional order controllers for industry applications
    • C.A. Monje, B.M. Vinagre, V. Feliu, and Y.Q. Chen Tuning and auto tuning of fractional order controllers for industry applications Control Eng. Pract. 16 2008 798 812
    • (2008) Control Eng. Pract. , vol.16 , pp. 798-812
    • Monje, C.A.1    Vinagre, B.M.2    Feliu, V.3    Chen, Y.Q.4
  • 5
    • 34548030735 scopus 로고    scopus 로고
    • The CRONE approach: Theoretical developments and major applications
    • Porto, Portugal
    • A. Oustaloup, The CRONE approach: theoretical developments and major applications, Proc. Second IFAC Workshop Fractional Differ. Appl., Porto, Portugal, 2006, pp. 3969.
    • (2006) Proc. Second IFAC Workshop Fractional Differ. Appl. , pp. 39-69
    • Oustaloup, A.1
  • 6
    • 45949102670 scopus 로고    scopus 로고
    • Fractional controller to stabilize fixed points of uncertain chaotic systems: Theoretical and experimental study
    • M.S. Tavazoei, M. Haeri, and S. Jafari Fractional controller to stabilize fixed points of uncertain chaotic systems: theoretical and experimental study J. Syst. Control Eng. 222 2008 175 184
    • (2008) J. Syst. Control Eng. , vol.222 , pp. 175-184
    • Tavazoei, M.S.1    Haeri, M.2    Jafari, S.3
  • 7
    • 0001611264 scopus 로고    scopus 로고
    • Some approximations of fractional order operators used in control theory and applications
    • B.M. Vinagre, I. Podlubny, A. Hernandez, and V. Feliu Some approximations of fractional order operators used in control theory and applications Fractional Calculus Appl. Anal. 3 3 2000 945 950
    • (2000) Fractional Calculus Appl. Anal. , vol.3 , Issue.3 , pp. 945-950
    • Vinagre, B.M.1    Podlubny, I.2    Hernandez, A.3    Feliu, V.4
  • 9
    • 15544379984 scopus 로고    scopus 로고
    • Numerical simulations of fractional systems: An overview of existing methods and improvements
    • M. Aoun, R. Malti, F. Levron, and A. Oustaloup Numerical simulations of fractional systems: an overview of existing methods and improvements Nonlinear Dyn. 38 2004 117 131
    • (2004) Nonlinear Dyn. , vol.38 , pp. 117-131
    • Aoun, M.1    Malti, R.2    Levron, F.3    Oustaloup, A.4
  • 11
    • 25144437471 scopus 로고    scopus 로고
    • Time-domain implementation of fractional order controllers
    • D. Valerio, and J.S. Costa Time-domain implementation of fractional order controllers IEE Proc. Control Theory Appl. 152 5 2005 539 552
    • (2005) IEE Proc. Control Theory Appl. , vol.152 , Issue.5 , pp. 539-552
    • Valerio, D.1    Costa, J.S.2
  • 12
    • 0242270972 scopus 로고    scopus 로고
    • Two direct Tustin discretization methods for fractional-order differentiator/integrator
    • B.M. Vinagre, Y.Q. Chen, and I. Petras Two direct Tustin discretization methods for fractional-order differentiator/integrator J. Franklin Inst. 340 2003 349 362
    • (2003) J. Franklin Inst. , vol.340 , pp. 349-362
    • Vinagre, B.M.1    Chen, Y.Q.2    Petras, I.3
  • 13
    • 67649624652 scopus 로고    scopus 로고
    • Stability preservation analysis for frequency based methods in numerical simulation of fractional order systems
    • M.S. Tavazoei, M. Haeri, S. Bolouki, and M. Siami Stability preservation analysis for frequency based methods in numerical simulation of fractional order systems SIAM J. Numer. Anal. 47 1 2008 321 338
    • (2008) SIAM J. Numer. Anal. , vol.47 , Issue.1 , pp. 321-338
    • Tavazoei, M.S.1    Haeri, M.2    Bolouki, S.3    Siami, M.4
  • 14
    • 84968743237 scopus 로고    scopus 로고
    • Stability preservation problem in methods that find rational approximation of fractional order systems
    • Saint Petersburg, Russia, June, 30-July
    • M.S. Tavazoei, M. Haeri, M. Siami, S. Bolouki, Stability preservation problem in methods that find rational approximation of fractional order systems, Proc. Sixth EUROMECH Nonlinear Dyn. Conf., Saint Petersburg, Russia, June, 30-July, 4 2008.
    • (2008) Proc. Sixth EUROMECH Nonlinear Dyn. Conf. , vol.4
    • Tavazoei, M.S.1    Haeri, M.2    Siami, M.3    Bolouki, S.4
  • 15
    • 73149101624 scopus 로고    scopus 로고
    • Rational approximations in the simulation and implementation of fractional-order dynamics: A descriptor system approach
    • M.S. Tavazoei, and M. Haeri Rational approximations in the simulation and implementation of fractional-order dynamics: a descriptor system approach Automatica 46 1 2010 94 100
    • (2010) Automatica , vol.46 , Issue.1 , pp. 94-100
    • Tavazoei, M.S.1    Haeri, M.2
  • 16
    • 0002731965 scopus 로고    scopus 로고
    • Stability results for fractional differential equations with applications to control processing
    • Lille, France, July, IMACS, IEEE-SMC
    • D. Matignon, Stability results for fractional differential equations with applications to control processing, in Computational Engineering in Systems Applications, vol. 2, Lille, France, July 1996, IMACS, IEEE-SMC, pp. 963968.
    • (1996) Computational Engineering in Systems Applications , vol.2 , pp. 963-968
    • Matignon, D.1
  • 17
    • 0030651602 scopus 로고    scopus 로고
    • Analysis and design of fractional order digital control systems
    • J.A.T. Machado Analysis and design of fractional order digital control systems SAMS 27 1997 107 122
    • (1997) SAMS , vol.27 , pp. 107-122
    • MacHado, J.A.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.