메뉴 건너뛰기




Volumn 8, Issue 5, 2010, Pages 1009-1017

Frequency response computation of fractional order interval transfer functions

Author keywords

Bode envelope; fractional order interval transfer functions; nyquist envelope; parametric uncertainty

Indexed keywords

FREQUENCY RESPONSE; NUMERICAL METHODS; POLYNOMIALS; ROBUST CONTROL;

EID: 79951623447     PISSN: 15986446     EISSN: 20054092     Source Type: Journal    
DOI: 10.1007/s12555-010-0510-3     Document Type: Article
Times cited : (27)

References (25)
  • 1
    • 0002267332 scopus 로고
    • A fractional model for mechanical stress relaxation
    • 10.1080/09500839108214672
    • T. F. Nonnenmacher W. G. Glöckle 1991 A fractional model for mechanical stress relaxation Philosophical Magazine Lett. 64 2 89 93 10.1080/09500839108214672
    • (1991) Philosophical Magazine Lett. , vol.64 , Issue.2 , pp. 89-93
    • Nonnenmacher, T.F.1    Glöckle, W.G.2
  • 2
    • 0028530783 scopus 로고
    • Capacitor theory
    • 10.1109/94.326654
    • S. Westerlund 1994 Capacitor theory IEEE Trans. Dielec. Elec. Ins. 1 5 826 839 10.1109/94.326654
    • (1994) IEEE Trans. Dielec. Elec. Ins. , vol.1 , Issue.5 , pp. 826-839
    • Westerlund, S.1
  • 4
    • 0000196448 scopus 로고
    • Basic characteristics of a fractance device
    • N. Nakagava K. Sorimachi 1992 Basic characteristics of a fractance device IEICE Trans. E75-A 12 1814 1818
    • (1992) IEICE Trans. , vol.75 , Issue.12 , pp. 1814-1818
    • Nakagava, N.1    Sorimachi, K.2
  • 5
    • 33645135087 scopus 로고    scopus 로고
    • A numerical algorithm for stability testing of fractional delay systems
    • 1137.93375 10.1016/j.automatica.2006.01.008 2207823
    • C. Hwang Y. C. Cheng 2006 A numerical algorithm for stability testing of fractional delay systems Automatica 42 825 831 1137.93375 10.1016/j.automatica. 2006.01.008 2207823
    • (2006) Automatica , vol.42 , pp. 825-831
    • Hwang, C.1    Cheng, Y.C.2
  • 6
    • 15544389469 scopus 로고    scopus 로고
    • Robust speed control of a low damped electromechanical system based on CRONE control: Application to a four mass experimental test bench
    • DOI 10.1007/s11071-004-3768-2
    • J. Sabatier S. Poullain P. Latteux J. L. Thomas A. Oustaloup 2004 Robust speed control of a low damped electromechanical system based on CRONE control: application to a four mass experimental test bench Nonlinear Dynamics 38 383 400 1142.93389 10.1007/s11071-004-3768-2 (Pubitemid 40400628)
    • (2004) Nonlinear Dynamics , vol.38 , Issue.1-4 , pp. 383-400
    • Sabatier, J.1    Poullain, S.2    Latteux, P.3    Thomas, J.L.4    Oustaloup, A.5
  • 7
    • 0032653954 scopus 로고    scopus 로고
    • μ controllers
    • 1056.93542 10.1109/9.739144 1666937
    • μ controllers IEEE Trans. on Automatic Control 44 1 208 214 1056.93542 10.1109/9.739144 1666937
    • (1999) IEEE Trans. on Automatic Control , vol.44 , Issue.1 , pp. 208-214
    • Podlubny, I.1
  • 8
    • 33244482248 scopus 로고    scopus 로고
    • Ziegler-Nichols type tuning rules for fractional PID controllers
    • Long Beach, California
    • D. Valério and J. S. da Costa, "Ziegler-Nichols type tuning rules for fractional PID controllers," Proc. of IDETC/CIE 2005, Long Beach, California, 2005.
    • (2005) Proc. of IDETC/CIE 2005
    • D. Valério1
  • 9
    • 0001805106 scopus 로고    scopus 로고
    • Discrete-time fractional-order controllers
    • 1111.93307 1807360
    • J. Machado 2001 Discrete-time fractional-order controllers Fract. Calc. Appl. Anal. 4 1 47 66 1111.93307 1807360
    • (2001) Fract. Calc. Appl. Anal. , vol.4 , Issue.1 , pp. 47-66
    • MacHado, J.1
  • 10
    • 41549148741 scopus 로고    scopus 로고
    • Tuning and auto-tuning of fractional order controllers for industry applications
    • DOI 10.1016/j.conengprac.2007.08.006, PII S0967066107001566
    • C. A. Monje B. M. Vinagre V. Feliu, et al. 2008 Tuning and auto-tuning of fractional order controllers for industry applications Control Engineering Practice 16 798 812 10.1016/j.conengprac.2007.08.006 (Pubitemid 351470859)
    • (2008) Control Engineering Practice , vol.16 , Issue.7 , pp. 798-812
    • Monje, C.A.1    Vinagre, B.M.2    Feliu, V.3    Chen, Y.4
  • 11
    • 33645518062 scopus 로고    scopus 로고
    • Stabilization of unstable first-order time-delay systems using fractionalorder PD controllers
    • Y. C. Cheng C. Hwang 2006 Stabilization of unstable first-order time-delay systems using fractionalorder PD controllers J. of the Chinese Inst. of Engineers 29 241 249
    • (2006) J. of the Chinese Inst. of Engineers , vol.29 , pp. 241-249
    • Cheng, Y.C.1    Hwang, C.2
  • 12
    • 35448968971 scopus 로고    scopus 로고
    • Stabilization using fractional-order PI and PID controllers
    • DOI 10.1007/s11071-007-9214-5
    • S. E. Hamamci 2008 Stablization using fractional-order PI and PID controllers Nonlinear Dyn. 51 329 343 1170.93023 10.1007/s11071-007-9214-5 (Pubitemid 47632368)
    • (2008) Nonlinear Dynamics , vol.51 , Issue.1-2 , pp. 329-343
    • Hamamci, S.E.1
  • 14
    • 33745872964 scopus 로고    scopus 로고
    • Robust stability check of fractional order linear time invariant systems with interval uncertainties
    • DOI 10.1016/j.sigpro.2006.02.011, PII S0165168406000478, Fractional Calculus Applications in Signals and Systems
    • Y. Q. Chen H. S. Ahn I. Podlubny 2006 Robust stability check of fractional order linear time invariant systems with interval uncertainties Signal Processing 86 2611 2618 1172.94385 10.1016/j.sigpro.2006.02.011 (Pubitemid 44026624)
    • (2006) Signal Processing , vol.86 , Issue.10 , pp. 2611-2618
    • Chen, Y.Q.1    Ahn, H.-S.2    Podlubny, I.3
  • 15
    • 61549083723 scopus 로고    scopus 로고
    • Robust stability analysis of fractional order interval polynomials
    • 10.1016/j.isatra.2009.01.002
    • N. Tan Ö. F. F. Özguven M. M. Özyetkin 2009 Robust stability analysis of fractional order interval polynomials ISA Transaction 48 2 166 172 10.1016/j.isatra.2009.01.002
    • (2009) ISA Transaction , vol.48 , Issue.2 , pp. 166-172
    • Tan, N.1    Özguven, Ö.F.F.2    Özyetkin, M.M.3
  • 16
    • 80755162660 scopus 로고    scopus 로고
    • Computation of spectral sets for uncertain linear fractional-order systems using interval constraints propagation
    • Ankara
    • P. S. V. Nataraj, "Computation of spectral sets for uncertain linear fractional-order systems using interval constraints propagation," Proc. of the 3rd IFAC W. on Frac.Diff. and It's Appl., Ankara, 2008.
    • (2008) Proc. of the 3rd IFAC W. on Frac.Diff. and It's Appl.
    • Nataraj, P.S.V.1
  • 17
    • 0001725233 scopus 로고
    • Asymptotic stability of an equilibrium position of a family of systems of linear differential equations
    • 0409.34043
    • V. L. Kharitonov 1979 Asymptotic stability of an equilibrium position of a family of systems of linear differential equations Differential Equations 14 1483 1485 0409.34043
    • (1979) Differential Equations , vol.14 , pp. 1483-1485
    • Kharitonov, V.L.1
  • 18
    • 0023859609 scopus 로고
    • Root location of an entire polytope of polynomials: It suffices to check the edges
    • A. C. Bartlett C. V. Hollot H. Lin 1988 Root location of an entire polytope of polynomials: it suffices to check the edges Mathematics of Controls, Signals and Sys. 1 61 71 0652.93048 10.1007/BF02551236 923276 (Pubitemid 18608943)
    • (1988) Mathematics of Control, Signals, and Systems , vol.1 , Issue.1 , pp. 61-71
    • Barlett, A.C.1    Hollot, C.V.2    Lin Huang3
  • 19
    • 0028370261 scopus 로고
    • On the Nyquist Envelope of an interval plant family
    • 0800.93982 10.1109/9.272342 1265429
    • C. V. Hollot R. Tempo 1994 On the Nyquist Envelope of an interval plant family IEEE Trans. on Automatic Control 39 391 396 0800.93982 10.1109/9.272342 1265429
    • (1994) IEEE Trans. on Automatic Control , vol.39 , pp. 391-396
    • Hollot, C.V.1    Tempo, R.2
  • 20
    • 0024629409 scopus 로고
    • A generalization of Kharitonov's theorem: Robust stability of interval plants
    • 0666.93100 10.1109/9.16420 980360
    • H. Chapellat S. P. Bhattacharyya 1989 A generalization of Kharitonov's theorem: robust stability of interval plants IEEE Trans. on Automatic Control 34 306 311 0666.93100 10.1109/9.16420 980360
    • (1989) IEEE Trans. on Automatic Control , vol.34 , pp. 306-311
    • Chapellat, H.1    Bhattacharyya, S.P.2
  • 21
    • 0034272515 scopus 로고    scopus 로고
    • Frequency response of uncertain systems: A 2q-convex parpolygonal approach
    • 10.1049/ip-cta:20000636
    • N. Tan D. P. Atherton 2000 Frequency response of uncertain systems: a 2q-convex parpolygonal approach IEE Proc., Control Theory and Appl. 147 5 547 555 10.1049/ip-cta:20000636
    • (2000) IEE Proc., Control Theory and Appl. , vol.147 , Issue.5 , pp. 547-555
    • Tan, N.1    Atherton, D.P.2
  • 25
    • 79951659892 scopus 로고    scopus 로고
    • Nyquist envelope of fractional order transfer function with parametric uncertainty
    • D. Baleanu et al. eds., Springer Sci.+ Business Media
    • N. Tan, M. M. Ozyetkin, and C. Yeroglu, "Nyquist envelope of fractional order transfer function with parametric uncertainty," New Trends in Nanotech. and Frac. Calc. App., D. Baleanu et al. eds., Springer Sci.+ Business Media, pp. 487-494, 2010.
    • (2010) New Trends in Nanotech. and Frac. Calc. App. , pp. 487-494
    • Tan, N.1    Ozyetkin, M.M.2    Yeroglu, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.