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Volumn 23, Issue 1, 2012, Pages 145-153

Improved Oustaloup approximation of fractional-order operators using adaptive chaotic particle swarm optimization

Author keywords

Fractional order calculus; Particle swarm optimization (PSO); Rational approximation; Tent map

Indexed keywords

AVERAGE VELOCITY; CHAOTIC SEARCH; FITNESS FUNCTIONS; FRACTIONAL-ORDER CALCULUS; FREQUENCY ERRORS; FREQUENCY INTERVALS; INTEGRAL OPERATORS; NUMERICAL EXAMPLE; OPTIMIZATION PROBLEMS; RATIONAL APPROXIMATIONS; TENT MAP; FRACTIONAL-ORDER DERIVATIVES;

EID: 84857490547     PISSN: 10044132     EISSN: None     Source Type: Journal    
DOI: 10.1109/JSEE.2012.00018     Document Type: Article
Times cited : (49)

References (25)
  • 3
    • 52549095901 scopus 로고    scopus 로고
    • Fractional control of heat diffusion systems
    • I. S. Jesus, J. A. T. Machado. Fractional control of heat diffusion systems. Nonlinear Dynamics, 2008, 16(3):263-282.
    • (2008) Nonlinear Dynamics , vol.16 , Issue.3 , pp. 263-282
    • Jesus, I.S.1    Machado, J.A.T.2
  • 4
    • 0033881047 scopus 로고    scopus 로고
    • Computation of fractional derivatives using Fourier transform and digital FIR differentiator
    • C. C. Tseng, S. C. Pei, S. C. Hsia. Computation of fractional derivatives using Fourier transform and digital FIR differentiator. Signal Processing, 2000, 80(1):151-159.
    • (2000) Signal Processing , vol.80 , Issue.1 , pp. 151-159
    • Tseng, C.C.1    Pei, S.C.2    Hsia, S.C.3
  • 5
    • 0141961689 scopus 로고    scopus 로고
    • A new IIR-type digital fractionalorder differentiator
    • Y. Q. Chen, B. M. Vinagre. A new IIR-type digital fractionalorder differentiator. Signal Processing, 2003, 83(11):2359-2365.
    • (2003) Signal Processing , vol.83 , Issue.11 , pp. 2359-2365
    • Chen, Y.Q.1    Vinagre, B.M.2
  • 6
    • 78649833452 scopus 로고    scopus 로고
    • Sliding mode control approaches to the robust regulation of linear multivariable fractional-order dynamics
    • A. Pisano, M. R. Rapaic, Z. D. Jelicic, et al. Sliding mode control approaches to the robust regulation of linear multivariable fractional-order dynamics. International Journal of Robust and Nonlinear Control, 2010, 20(18):2045-2056.
    • (2010) International Journal of Robust and Nonlinear Control , vol.20 , Issue.18 , pp. 2045-2056
    • Pisano, A.1    Rapaic, M.R.2    Jelicic, Z.D.3
  • 7
    • 46649121871 scopus 로고    scopus 로고
    • Continued fractions approximation of the impulse response of fractional-order dynamic systems
    • G. Maione. Continued fractions approximation of the impulse response of fractional-order dynamic systems. IET-Control Theory & Applications, 2008, 2(7):564-572.
    • (2008) IET-Control Theory & Applications , vol.2 , Issue.7 , pp. 564-572
    • Maione, G.1
  • 10
    • 0036650890 scopus 로고    scopus 로고
    • Analogue realizations of fractional-order controllers
    • DOI 10.1023/A:1016556604320, Fractional Order Calculus and Its Applications
    • I. Podlubny, I. Petras, B. M. Vinagre, et al. Analogue realizations of fractional-order controllers. Nonlinear Dynamics, 2002, 29(1-4):281-296. (Pubitemid 34945402)
    • (2002) Nonlinear Dynamics , vol.29 , Issue.1-4 , pp. 281-296
    • Podlubny, I.1    Petras, I.2    Vinagre, B.M.3    O'Leary, P.4    Dorcak, L.5
  • 13
    • 58949096672 scopus 로고    scopus 로고
    • Design of fractionalorder PID controllers with an improved differential evolution
    • A. Biswas, S. Das, A. Abraham, et al. Design of fractionalorder PID controllers with an improved differential evolution. Engineering Applications of Artificial Intelligence, 2009, 22(2):343-350.
    • (2009) Engineering Applications of Artificial Intelligence , vol.22 , Issue.2 , pp. 343-350
    • Biswas, A.1    Das, S.2    Abraham, A.3
  • 14
    • 77952242081 scopus 로고    scopus 로고
    • PID controller design of nonlinear systems using an improved particle swarm optimization approach
    • W. D. Chang, S. P. Shih. PID controller design of nonlinear systems using an improved particle swarm optimization approach. Communications in Nonlinear Science and Numerical Simulation, 2010, 15(11):3632-3639.
    • (2010) Communications in Nonlinear Science and Numerical Simulation , vol.15 , Issue.11 , pp. 3632-3639
    • Chang, W.D.1    Shih, S.P.2
  • 15
    • 42249086989 scopus 로고    scopus 로고
    • Particle swarm optimization: Basic concepts, variants and applications in power systems
    • Y. Del Valle, G. K. Venayagamoortht, S. Mothaheght, et al. Particle swarm optimization: basic concepts, variants and applications in power systems. IEEE Trans. on Evolutionary Computation, 2008, 12(2):1971-1984.
    • (2008) IEEE Trans. on Evolutionary Computation , vol.12 , Issue.2 , pp. 1971-1984
    • Del Valle, Y.1    Venayagamoortht, G.K.2    Mothaheght, S.3
  • 17
    • 34247096005 scopus 로고    scopus 로고
    • On the efficiency of chaos optimization algorithms for global optimization
    • DOI 10.1016/j.chaos.2006.04.057, PII S0960077906004334
    • D. X. Yang, G. Li, G. D. Cheng. On the efficiency of chaos optimization algorithms for global optimization. Chaos, Solitons & Fractals, 2007, 34(4):1366-1375. (Pubitemid 46601952)
    • (2007) Chaos, Solitons and Fractals , vol.34 , Issue.4 , pp. 1366-1375
    • Yang, D.1    Li, G.2    Cheng, G.3
  • 18
    • 0032094334 scopus 로고    scopus 로고
    • Optimizing complex functions by chaos search
    • B. Li, W. Jiang. Optimization complex functions by chaos search. Cybernetics and Systems, 1998, 29(4):409-419. (Pubitemid 128589685)
    • (1998) Cybernetics and Systems , vol.29 , Issue.4 , pp. 409-419
    • Li, B.1    Jiang, W.2
  • 19
    • 18444389480 scopus 로고    scopus 로고
    • Improved particle swarm optimization combined with chaos
    • DOI 10.1016/j.chaos.2004.11.095, PII S0960077905000330
    • B. Liu, L. Wang, Y. H. Jin, et al. Improved particle swarm optimization combined with chaos. Chaos, Solitons & Fractals, 2005, 25(5):1261-1271. (Pubitemid 40643077)
    • (2005) Chaos, Solitons and Fractals , vol.25 , Issue.5 , pp. 1261-1271
    • Liu, B.1    Wang, L.2    Jin, Y.-H.3    Tang, F.4    Huang, D.-X.5
  • 20
    • 67349261353 scopus 로고    scopus 로고
    • Chaos embedded particle swarm optimization algorithms
    • B. Alatas, E. Akin, A. B. Ozer. Chaos embedded particle swarm optimization algorithms. Chaos, Solitons & Fractals, 2009, 40(4):1715-1734.
    • (2009) Chaos, Solitons & Fractals , vol.40 , Issue.4 , pp. 1715-1734
    • Alatas, B.1    Akin, E.2    Ozer, A.B.3
  • 25
    • 0003582543 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press
    • E. Ott. Chaos in dynamical systems. Cambridge: Cambridge University Press, 2002.
    • (2002) Chaos in Dynamical Systems
    • Ott, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.