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Volumn 62, Issue 1-2, 2010, Pages 447-452

Optimal tuning of fractional controllers using genetic algorithms

Author keywords

Fractional calculus; Fractional derivatives; Genetic algorithms; Optimization

Indexed keywords

OPTIMIZATION;

EID: 84871025036     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-010-9731-5     Document Type: Article
Times cited : (53)

References (32)
  • 5
    • 0020751558 scopus 로고
    • Fractional calculus-A different approach to the analysis of viscoelastically damped structures
    • Bagley, R.L., Torvik, P.J.: Fractional calculus-a different approach to the analysis of viscoelastically damped structures. AIAA J. 21, 741-748 (1983).
    • (1983) AIAA J , vol.21 , pp. 741-748
    • Bagley, R.L.1    Torvik, P.J.2
  • 7
    • 0028696254 scopus 로고
    • The fractional-order dynamics of brainstem vestibulo-oculomotor neurons
    • Anastasio, T.J.: The fractional-order dynamics of brainstem vestibulo-oculomotor neurons. Biol. Cybern. 72(1), 69-79 (1994).
    • (1994) Biol. Cybern. , vol.72 , Issue.1 , pp. 69-79
    • Anastasio, T.J.1
  • 8
    • 0030464353 scopus 로고    scopus 로고
    • Fractional relaxation-oscillation and fractional diffusion-wave phenomena
    • Mainardi, F.: Fractional relaxation-oscillation and fractional diffusion-wave phenomena. Chaos Solitons Fractals 7, 1461-1477 (1996).
    • (1996) Chaos Solitons Fractals , vol.7 , pp. 1461-1477
    • Mainardi, F.1
  • 9
    • 0030651602 scopus 로고    scopus 로고
    • Analysis and design of fractionalorder digital control systems
    • Tenreiro Machado, J.A.: Analysis and design of fractionalorder digital control systems. J. Syst. Anal. Model. Simul. 27, 107-122 (1997).
    • (1997) J. Syst. Anal. Model. Simul. , vol.27 , pp. 107-122
    • Tenreiro Machado, J.A.1
  • 10
    • 33745841179 scopus 로고    scopus 로고
    • The statistics of the fractional moments: Is there any chance to "read quantitatively" any randomness?
    • Nigmatullin, R.: The statistics of the fractional moments: Is there any chance to "read quantitatively" any randomness? Signal Process. 86(10), 2529-2547 (2006).
    • (2006) Signal Process. , vol.86 , Issue.10 , pp. 2529-2547
    • Nigmatullin, R.1
  • 11
    • 33646938767 scopus 로고    scopus 로고
    • Fractional dynamics of systems with long-range interaction
    • Tarasov, V.E., Zaslavsky, G.M.: Fractional dynamics of systems with long-range interaction. Commun. Nonlinear Sci. Numer. Simul. 11(8), 885-898 (2006).
    • (2006) Commun. Nonlinear Sci. Numer. Simul. , vol.11 , Issue.8 , pp. 885-898
    • Tarasov, V.E.1    Zaslavsky, G.M.2
  • 13
    • 63449116783 scopus 로고    scopus 로고
    • Fractional derivatives: Probability interpretation and frequency response of rational approximations
    • Tenreiro Machado, J.A.: Fractional derivatives: probability interpretation and frequency response of rational approximations. Commun. Nonlinear Sci. Numer. Simul. 14(9-10), 3492-3497 (2009).
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , Issue.9-10 , pp. 3492-3497
    • Tenreiro Machado, J.A.1
  • 14
    • 58749115373 scopus 로고    scopus 로고
    • About fractional quantization and fractional variational principles
    • Baleanu, D.: About fractional quantization and fractional variational principles. Commun. Nonlinear Sci. Numer. Simul. 14(6), 2520-2523 (2009).
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , Issue.6 , pp. 2520-2523
    • Baleanu, D.1
  • 15
    • 0032653954 scopus 로고    scopus 로고
    • Fractional-order systems and PIλDμ-controllers
    • Podlubny, I.: Fractional-order systems and PIλDμ-controllers. IEEE Trans. Autom. Control 44(1), 208-213 (1999).
    • (1999) IEEE Trans. Autom. Control , vol.44 , Issue.1 , pp. 208-213
    • Podlubny, I.1
  • 17
    • 0036506044 scopus 로고    scopus 로고
    • Discretization schemes for fractional-order differentiators and integrators
    • Chen, Y.Q., Moore, K.L.: Discretization schemes for fractional-order differentiators and integrators. IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 49(3), 363-367 (2002).
    • (2002) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.49 , Issue.3 , pp. 363-367
    • Chen, Y.Q.1    Moore, K.L.2
  • 18
    • 0035280591 scopus 로고    scopus 로고
    • Design of fractional order digital fir differentiators
    • Tseng, C.C.: Design of fractional order digital fir differentiators. IEEE Signal Process. Lett. 8(3), 77-79 (2001).
    • (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
    • Vinagre, B.M., Chen, Y.Q., Petras, I.: Two direct Tustin discretization methods for fractional-order differentiator/ integrator. J. Franklin Inst. 340(5), 349-362 (2003).
    • (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
    • Chen, Y.Q., Vinagre, B.M.: A new IIR-type digital fractional order differentiator. Signal Process. 83(11), 2359-2365 (2003).
    • (2003) Signal Process. , vol.83 , Issue.11 , pp. 2359-2365
    • Chen, Y.Q.1    Vinagre, B.M.2
  • 21
    • 33745932867 scopus 로고    scopus 로고
    • Time domain design of fractional differintegrators using least squares approximations
    • Barbosa, R.S., Tenreiro Machado, J.A., Silva, M.: Time domain design of fractional differintegrators using least squares approximations. Signal Process. 86(10), 2567-2581 (2006).
    • (2006) Signal Process , vol.86 , Issue.10 , pp. 2567-2581
    • Barbosa, R.S.1    Tenreiro Machado, J.A.2    Silva, M.3
  • 22
    • 0027545685 scopus 로고
    • Novel digital integrator and differentiator
    • Al-Alaoui,M.A.: Novel digital integrator and differentiator. Electron. Lett. 29(4), 376-378 (1993).
    • (1993) Electron. Lett. , vol.29 , Issue.4 , pp. 376-378
    • Al-Alaoui, M.A.1
  • 25
    • 67449164063 scopus 로고    scopus 로고
    • Calculation of fractional derivatives of noisy data with genetic algorithms
    • Tenreiro Machado, J.A.: Calculation of fractional derivatives of noisy data with genetic algorithms. Nonlinear Dyn. 57(1-2), 253-260 (2009).
    • (2009) Nonlinear Dyn , vol.57 , Issue.1-2 , pp. 253-260
    • Tenreiro Machado, J.A.1
  • 26
    • 70349977336 scopus 로고    scopus 로고
    • Optimal approximation of fractional derivatives through discrete-time fractions using genetic algorithms
    • Tenreiro Machado, J.A., Galhano, A., Oliveira, A.M., Tar, J.K.: Optimal approximation of fractional derivatives through discrete-time fractions using genetic algorithms. Commun. Nonlinear Sci. Numer. Simul. 15, 482-490 (2010).
    • (2010) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 482-490
    • Tenreiro Machado, J.A.1    Galhano, A.2    Oliveira, A.M.3    Tar, J.K.4
  • 28
    • 33845272141 scopus 로고    scopus 로고
    • Design of fractional order controller based on particle swarm optimization
    • Cao, J.-Y., Cao, B.-G.: Design of fractional order controller based on particle swarm optimization. Int. J. Control Autom. Syst. 4(6), 775-781 (2006).
    • (2006) Int. J. Control Autom. Syst. , vol.4 , Issue.6 , pp. 775-781
    • Cao, J.-Y.1    Cao, B.-G.2
  • 29
    • 55649090467 scopus 로고    scopus 로고
    • Tuning of fractional controllers minimising H2 and H∞ norms
    • Valério, D., Sá da Costa, J.: Tuning of fractional controllers minimising H2 and H∞ norms. Acta Polytech. Hung. 3(4), 55-70 (2006).
    • (2006) Acta Polytech. Hung. , vol.3 , Issue.4 , pp. 55-70
    • Valério, D.1    Sá Da Costa, J.2
  • 30
    • 58949096672 scopus 로고    scopus 로고
    • Design of fractional-order PIλDμ controllers with an improved differential evolution
    • Biswas, A., Das, S., Abraham, A., Dasgupta, S.: Design of fractional-order PIλDμ controllers with an improved differential evolution. Eng. Appl. Artif. Intell. 22, 343-350 (2009).
    • (2009) Eng. Appl. Artif. Intell. , vol.22 , pp. 343-350
    • Biswas, A.1    Das, S.2    Abraham, A.3    Dasgupta, S.4
  • 31
    • 0036650851 scopus 로고    scopus 로고
    • Describing function analysis of systems with impacts and backlash
    • Barbosa, R.S., Tenreiro Machado, J.A.: Describing function analysis of systems with impacts and backlash. Nonlinear Dyn. 29(1-4), 235-250 (2002).
    • (2002) Nonlinear Dyn , vol.29 , Issue.1-4 , pp. 235-250
    • Barbosa, R.S.1    Tenreiro Machado, J.A.2
  • 32
    • 67349230443 scopus 로고    scopus 로고
    • Describing function of two masses with backlash
    • Duarte, F., Tenreiro Machado, J.A.: Describing function of two masses with backlash. Nonlinear Dyn. 56(4), 409-413 (2009).
    • (2009) Nonlinear Dyn , vol.56 , Issue.4 , pp. 409-413
    • Duarte, F.1    Tenreiro Machado, J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.