메뉴 건너뛰기




Volumn 60, Issue 3, 2009, Pages 117-128

Fractional - Order feedback control of a DC motor

Author keywords

DC motor; Fractance; Fractional calculus; Fractional order controller; Microprocessor

Indexed keywords


EID: 67650624466     PISSN: 13353632     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (172)

References (55)
  • 1
    • 0027545685 scopus 로고
    • Novel Digital Integrator and Differentiator
    • Al-ALAOUI, M. A.: Novel Digital Integrator and Differentiator, Electron. Lett. 29 No. 4 (1993), 376-378.
    • (1993) Electron. Lett. , vol.29 , Issue.4 , pp. 376-378
    • Al-Alaoui, M.A.1
  • 2
    • 0031248761 scopus 로고    scopus 로고
    • Filling the Gap between the Bilinear and the Backward Difference Transforms: An Interactive Design Approach
    • Al-ALAOUI, M. A.: Filling the Gap between the Bilinear and the Backward Difference Transforms: An Interactive Design Approach, Int. J. Elect. Eng. Edu. 34 No. 4 (1997), 331-337.
    • (1997) Int. J. Elect. Eng. Edu. , vol.34 , Issue.4 , pp. 331-337
    • Al-Alaoui, M.A.1
  • 6
    • 33745932867 scopus 로고    scopus 로고
    • Time Domain Design of Fractional Differintegrators using Least- Squares
    • BARBOSA, R. S.-MACHADO, J. A. T.-SILVA, M. F.: Time Domain Design of Fractional Differintegrators using Least- Squares, Signal Processing 86 (2006), 2567-2581.
    • (2006) Signal Processing , vol.86 , pp. 2567-2581
    • Barbosa, R.S.1    Machado, J.A.T.2    Silva, M.F.3
  • 9
    • 80052779150 scopus 로고    scopus 로고
    • Commande diffusive d'une machine électrique: Une introduction
    • France
    • BIDAN, P.: Commande diffusive d'une machine e ́lectrique: une introduction, ESAIM Proceedings, vol. 5, France, 1998, pp. 55-68.
    • (1998) ESAIM Proceedings , vol.5 , pp. 55-68
    • Bidan, P.1
  • 11
    • 33749873097 scopus 로고    scopus 로고
    • Analogue Realisation of Fractional-Order Integrator, Differentiator and Fractional PIIDm Controller
    • (Nov 2006)
    • CHAREF, A.: Analogue Realisation of Fractional-Order Integrator, Differentiator and Fractional PIIDm Controller, IEEE Proc.-Control Theory Appl. 153 No. 6 (Nov 2006), 714-720.
    • IEEE Proc.-Control Theory Appl. , vol.153 , Issue.6 , pp. 714-720
    • Charef, A.1
  • 13
    • 67650572086 scopus 로고    scopus 로고
    • Tuning Method for Fractional-Order Controllers
    • United States Patent, US2006/0265085 A1, USA
    • CHEN, Y. Q.: Tuning Method for Fractional-Order Controllers, United States Patent, US2006/0265085 A1, USA, 2006.
    • (2006)
    • Chen, Y.Q.1
  • 14
    • 77949889165 scopus 로고    scopus 로고
    • Oustaloup-Recursive-Approximation for Fractional Order Differentiators, MathWorks Inc
    • August 2003
    • CHEN, Y. Q.: Oustaloup-Recursive-Approximation for Fractional Order Differentiators, MathWorks Inc, August 2003: http://www.mathworks.com/matlabcentral/fileexchange/3802.
    • Chen, Y.Q.1
  • 15
    • 67650624414 scopus 로고
    • Numerical Models for Simulation the Fractional-Order Control Systems, UEF-04-94
    • DORČÁK, Ľ.: Numerical Models for Simulation the Fractional-Order Control Systems, UEF-04-94, Slovak Acad. Sci., Košice, 1994.
    • (1994) Slovak Acad. Sci., Košice
    • Dorčák, Ľ.1
  • 17
    • 0010174001 scopus 로고
    • On the Realization of a Constant-Argument Immitance of Fractional Operator
    • DUTTA ROY, S. C.: On the Realization of a Constant-Argument Immitance of Fractional Operator, IEEE Transactions on Circuit Theory 14 No. 3 (1967), 264-374.
    • (1967) IEEE Transactions on Circuit Theory , vol.14 , Issue.3 , pp. 264-374
    • Dutta Roy, S.C.1
  • 18
    • 0010178279 scopus 로고
    • An Analog Simulation of Non-Integer Order Transfer Functions for Analysis of Electrode Processes
    • ICHISE, M.-NAGAYANAGI, Y.-KOJIMA, T.: An Analog Simulation of Non-Integer Order Transfer Functions for Analysis of Electrode Processes, J. Electroanal. Chem. 33 (1971), 253-265.
    • (1971) J. Electroanal. Chem. , vol.33 , pp. 253-265
    • Ichise, M.1    Nagayanagi, Y.2    Kojima, T.3
  • 19
    • 0000717432 scopus 로고
    • Discretized Fractional Calculus
    • LUBICH, C.: Discretized Fractional Calculus, SIAM J. Math. Anal. 17 No. 3 (1986), 704-719.
    • (1986) SIAM J. Math. Anal. , vol.17 , Issue.3 , pp. 704-719
    • Lubich, C.1
  • 20
    • 0003802435 scopus 로고
    • Three-Parameter Tunable Tilt-Integral-Derivative (TID) Controller
    • 5 371 670, USA
    • LURIE, B. J.: Three-Parameter Tunable Tilt-Integral-Derivative (TID) Controller, United States Patent, 5 371 670, USA, 1994.
    • (1994) United States Patent
    • Lurie, B.J.1
  • 22
    • 0030651602 scopus 로고    scopus 로고
    • Analysis and Design of Fractional-Order Digital Control Systems
    • MACHADO, J. A. T.: Analysis and Design of Fractional-Order Digital Control Systems, J. Syst. Anal. Modeling-Simulation 27 (1997),107-122.
    • (1997) J. Syst. Anal. Modeling-Simulation , vol.27 , pp. 107-122
    • Machado, J.A.T.1
  • 23
    • 46649121871 scopus 로고    scopus 로고
    • Continued Fractions Approximation of the Impulse Response of Fractional-Order Dynamic Systems
    • MAIONE, G.: Continued Fractions Approximation of the Impulse Response of Fractional-Order Dynamic Systems, IET Control Theory Appl. 2 No. 7 (2008), 564-572.
    • (2008) IET Control Theory Appl. , vol.2 , Issue.7 , pp. 564-572
    • Maione, G.1
  • 24
    • 0010071833 scopus 로고
    • The Non-Integer Integral and its Application to Control Systems
    • MANABE, S.: The Non-Integer Integral and its Application to Control Systems, ETJ of Japan 6 No. 3-4 (1961), 83-87.
    • (1961) ETJ of Japan , vol.6 , Issue.3-4 , pp. 83-87
    • Manabe, S.1
  • 25
    • 0036648507 scopus 로고    scopus 로고
    • A Suggestion of Fractional-Order Controller for Flexible Spacecraft Attitude Control
    • MANABE, S.: A Suggestion of Fractional-Order Controller for Flexible Spacecraft Attitude Control, Nonlinear Dynamics 29 (2002),251-268.
    • (2002) Nonlinear Dynamics , vol.29 , pp. 251-268
    • Manabe, S.1
  • 26
    • 41549148741 scopus 로고    scopus 로고
    • Tuning and Auto-Tuning of Fractional Order Controllers for Industry Application
    • MONJE, C. A.-VINAGRE, B. M.-FELIU, V.-CHEN, Y. Q.: Tuning and Auto-Tuning of Fractional Order Controllers for Industry Application, Control Engineering Practice 16 (2008), 798-812.
    • (2008) Control Engineering Practice , vol.16 , pp. 798-812
    • Monje, C.1
  • 27
  • 31
    • 0001504351 scopus 로고    scopus 로고
    • The fractional-Order Controllers: Methods for their Synthesis and Application
    • PETRÁŠ, I. The fractional-Order Controllers: Methods for their Synthesis and Application: Journal of Electrical Engineering 50 No. 9-10 (1999), 284-288.
    • (1999) Journal of Electrical Engineering , vol.50 , Issue.9-10 , pp. 284-288
    • Petráš, I.1
  • 32
    • 3042567794 scopus 로고    scopus 로고
    • Practical Application of Digital Fractional-Order Controller to Temperature Control
    • PETRÁŠ, I.-VINAGRE, B. M. Practical Application of Digital Fractional-Order Controller to Temperature Control: Acta Montanistica Slovaca 7 No. 2 (2002), 131-137.
    • (2002) Acta Montanistica Slovaca , vol.7 , Issue.2 , pp. 131-137
    • Petráš, I.1    Vinagre, B.M.2
  • 33
    • 63049130621 scopus 로고    scopus 로고
    • Digital Fractional Order Controllers Realized by PIC Microprocessor: Experimental Results
    • May 26-29
    • PETRÁŠ, I.-GREGA, Š.: Digital Fractional Order Controllers Realized by PIC Microprocessor: Experimental Results, Proceedings of the ICCC2003, High Tatras, Slovak Republic, May 26-29, pp. 873-876.
    • Proceedings of the ICCC2003, High Tatras, Slovak Republic , pp. 873-876
    • Petráš, I.1    Grega, Š.2
  • 34
    • 67449135690 scopus 로고    scopus 로고
    • Digital Fractional Order Differentiator/Integrator - IIR type
    • MathWorks, Inc, July 2003
    • PETRÁŠ, I.: Digital Fractional Order Differentiator/Integrator - IIR type, MathWorks, Inc.: http://www.mathworks.com/matlabcentral/fileexchange/3672, July 2003.
    • Petráš, I.1
  • 40
    • 0242354999 scopus 로고    scopus 로고
    • Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation
    • PODLUBNY, I.: Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation, Fractional Calculus and Applied Analysis 5 No. 4 (2002), 367-386.
    • (2002) Fractional Calculus and Applied Analysis , vol.5 , Issue.4 , pp. 367-386
    • Podlubny, I.1
  • 42
    • 44649161193 scopus 로고    scopus 로고
    • Digital IIR Integrator Design using Recursive Romberg Integration Rule and Fractional Sample Delay
    • TSENG, C. C.-LEE, S. L.: Digital IIR Integrator Design using Recursive Romberg Integration Rule and Fractional Sample Delay, Signal Processing 88 (2008), 2222-2233.
    • (2008) Signal Processing , vol.88 , pp. 2222-2233
    • Tseng, C.C.1    Lee, S.L.2
  • 44
    • 79952346428 scopus 로고    scopus 로고
    • Toolbox ninteger for Matlab
    • v. 2.3 (September 2005), visited: May 23
    • VALERIO, D.: Toolbox ninteger for Matlab, v. 2.3 (September 2005) http://web.ist.utl.pt/duarte.valerio/ninteger/ninteger.htm, visited: May 23, 2008.
    • (2008)
    • Valerio, D.1
  • 45
    • 0001611264 scopus 로고    scopus 로고
    • Some Approximations of Fractional Order Operators used in Control Theory and Applications
    • VINAGRE, B. M.-PODLUBNY, I.-HERNÁNDEZ, A.-FELIU, V.: Some Approximations of Fractional Order Operators used in Control Theory and Applications, Fractional Calculus and Applied Analysis 3 No. 3 (2000), 231-248.
    • (2000) Fractional Calculus and Applied Analysis , vol.3 , Issue.3 , pp. 231-248
    • Vinagre, B.M.1    Podlubny, I.2    Hernández, A.3    Feliu, V.4
  • 46
    • 0242270972 scopus 로고    scopus 로고
    • Two Direct Tustin Discretization Methods for Fractional-Order Differentiator/Integrator
    • VINAGRE, B. M.-CHEN, Y. Q.-PETRÁŠ, I.: Two Direct Tustin Discretization Methods for Fractional-Order Differentiator/Integrator, Journal of Franklin Institute 340 (2003), 349-362.
    • (2003) Journal of Franklin Institute , vol.340 , pp. 349-362
    • Vinagre, B.M.1    Chen, Y.Q.2    Petráš, I.3
  • 47
    • 84947460122 scopus 로고    scopus 로고
    • Two Digital Realization of Fractional Controllers: Application to Temperature Control of a Solid
    • Porto, Portugal, Sep 2001
    • VINAGRE, B. M.-CHEN, Y. Q.-PETRÁŠ, I.-MERCHANT, P.-DORČÁK, L'.: Two Digital Realization of Fractional Controllers: Application to Temperature Control of a Solid, Proc. Eur. Control Conf. (ECC01), Porto, Portugal, Sep 2001, pp. 1764-1767.
    • Proc. Eur. Control Conf. (ECC01) , pp. 1764-1767
    • Vinagre, B.M.1    Chen, Y.Q.2    Petráš, I.3    Merchant, P.4    Dorčák, L'.5
  • 49
    • 34748892330 scopus 로고    scopus 로고
    • Fractional PID Controllers for Industry Application. A Brief Introduction
    • VINAGRE, B. M.-MONJE, C. A.-CALDERON, A. J.- SUÁREZ, J. I.: Fractional PID Controllers for Industry Application. A Brief Introduction, Journal of Vibration and Control 13 No. 9-10 (2007), 1419-1429.
    • (2007) Journal of Vibration and Control , vol.13 , Issue.9-10 , pp. 1419-1429
    • Vinagre, B.M.1    Monje, C.A.2    Calderon, A.J.3    Suárez, J.I.4
  • 52
    • 27744475087 scopus 로고    scopus 로고
    • A Fractional Order PID Tuning Algorithm for a Class of Fractional Order Plants
    • Niagara Falls, Canada, July 2005
    • ZHAO, C.-XUE, D.-CHEN, Y. Q.: A Fractional Order PID Tuning Algorithm for a Class of Fractional Order Plants, Proc. of the IEEE Int. Conf. Mechatronics and Automation, Niagara Falls, Canada, July 2005, pp. 216-221.
    • Proc. of the IEEE Int. Conf. Mechatronics and Automation , pp. 216-221
    • Zhao, C.1    Xue, D.2    Chen, Y.Q.3
  • 53
    • 0023401151 scopus 로고
    • Realizations of Generalized Warburg Impedance with RC Ladder Networks and Transmission Lines
    • WANG, J. C.: Realizations of Generalized Warburg Impedance with RC Ladder Networks and Transmission Lines, J. of Electrochem. Soc. 134 No. 8 (1987), 1915-1920.
    • (1987) J. of Electrochem. Soc. , vol.134 , Issue.8 , pp. 1915-1920
    • Wang, J.C.1
  • 55
    • 67650607078 scopus 로고    scopus 로고
    • Web site of Microchip Technology corporation
    • Web site of Microchip Technology corporation. PIC18F458 processor documentation, http://www.microchip.com/.
    • PIC18F458 processor documentation


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.