-
1
-
-
36348976811
-
Fractional calculus: A mathematical tool from the past for present engineers
-
Summer
-
D. Cafagna, "Fractional calculus: A mathematical tool from the past for present engineers," IEEE Ind. Electron. Mag., vol. 1, no. 2, pp. 35-40, Summer 2007.
-
(2007)
IEEE Ind. Electron. Mag
, vol.1
, Issue.2
, pp. 35-40
-
-
Cafagna, D.1
-
2
-
-
56349138114
-
-
B. J. Lune, Three-parameter tunable tilt-integral derivative (TID) controller, U.S Patent 5 371 670, Dec. 6, 1994
-
B. J. Lune, "Three-parameter tunable tilt-integral derivative (TID) controller," U.S Patent 5 371 670, Dec. 6, 1994.
-
-
-
-
3
-
-
0032653954
-
Fractional-order systems and PIλDμ -controllers
-
Jan
-
I. Podlubny, "Fractional-order systems and PIλDμ -controllers," IEEE Trans. Autom. Control, vol. 44, no. 1, pp. 208-214, Jan. 1999.
-
(1999)
IEEE Trans. Autom. Control
, vol.44
, Issue.1
, pp. 208-214
-
-
Podlubny, I.1
-
4
-
-
36248973595
-
An algorithm for stabilization of fractional-order time delay systems using fractional-order PID controllers
-
Oct
-
S. E. Hamamci, "An algorithm for stabilization of fractional-order time delay systems using fractional-order PID controllers," IEEE Trans. Autom. Control, vol. 52, no. 10, pp. 1964-1969, Oct. 2007.
-
(2007)
IEEE Trans. Autom. Control
, vol.52
, Issue.10
, pp. 1964-1969
-
-
Hamamci, S.E.1
-
5
-
-
0001848898
-
From fractal robustness to CRONE control
-
A. Oustaloup, J. Sabatier, and P. Lanusse, "From fractal robustness to CRONE control," Fract. Calc. Appl. Anal., vol. 2, no. 1, pp. 1-30, 1999.
-
(1999)
Fract. Calc. Appl. Anal
, vol.2
, Issue.1
, pp. 1-30
-
-
Oustaloup, A.1
Sabatier, J.2
Lanusse, P.3
-
6
-
-
0030216463
-
The CRONE suspension
-
Aug
-
A. Oustaloup, X. Moreau, and M. Nouillant, "The CRONE suspension," Control Eng. Pract., vol. 4, no. 8, pp. 1101-1108, Aug. 1996.
-
(1996)
Control Eng. Pract
, vol.4
, Issue.8
, pp. 1101-1108
-
-
Oustaloup, A.1
Moreau, X.2
Nouillant, M.3
-
7
-
-
0343715573
-
State-space representation for fractional-order controllers
-
Jul
-
H. F. Raynaud and A. Z. Inoh, "State-space representation for fractional-order controllers," Automatica, vol. 36, no. 7, pp. 1017-1021, Jul. 2000.
-
(2000)
Automatica
, vol.36
, Issue.7
, pp. 1017-1021
-
-
Raynaud, H.F.1
Inoh, A.Z.2
-
8
-
-
38149057159
-
Optimal fractional controllers for rational order systems: A special case of the Wiener-Hopf spectral factorization method
-
Dec
-
B. M. Vinagre and V. Feliu, "Optimal fractional controllers for rational order systems: A special case of the Wiener-Hopf spectral factorization method," IEEE Trans. Autom. Control, vol. 52, no. 12, pp. 2385-2389, Dec. 2007.
-
(2007)
IEEE Trans. Autom. Control
, vol.52
, Issue.12
, pp. 2385-2389
-
-
Vinagre, B.M.1
Feliu, V.2
-
9
-
-
33646408539
-
On fractional adaptive control
-
Mar
-
S. Ladaci and A. Charef, "On fractional adaptive control," Nonlinear Dyn., vol. 43, no. 4, pp. 365-378, Mar. 2006.
-
(2006)
Nonlinear Dyn
, vol.43
, Issue.4
, pp. 365-378
-
-
Ladaci, S.1
Charef, A.2
-
10
-
-
37749018625
-
Fractional order control: Theory and applications in motion control
-
Winter
-
C. Ma and Y. Hori, "Fractional order control: Theory and applications in motion control," IEEE Ind. Electron. Mag., vol. 1, no. 4, pp. 6-16, Winter 2007.
-
(2007)
IEEE Ind. Electron. Mag
, vol.1
, Issue.4
, pp. 6-16
-
-
Ma, C.1
Hori, Y.2
-
11
-
-
0036651020
-
Fractional differentiation in passive vibration control
-
Jul
-
X. Moreau, C. Ramus-Serment, and A. Oustaloup, "Fractional differentiation in passive vibration control," Nonlinear Dyn., vol. 29, no. 1-4, pp. 343-362, Jul. 2002.
-
(2002)
Nonlinear Dyn
, vol.29
, Issue.1-4
, pp. 343-362
-
-
Moreau, X.1
Ramus-Serment, C.2
Oustaloup, A.3
-
12
-
-
34548023429
-
Tip position control of a lightweight flexible manipulator using a fractional order controller
-
Sep
-
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., vol. 1, no. 5, pp. 1451-1460, Sep. 2007.
-
(2007)
IET Control Theory Appl
, vol.1
, Issue.5
, pp. 1451-1460
-
-
Monje, C.A.1
Ramos, F.2
Feliu, V.3
Vinagre, B.M.4
-
13
-
-
33847623276
-
Fractional robust control of main irrigation canals with variable dynamic parameters
-
Jun
-
V. Feliu-Batlle, R. Rivas Perez, and L. Sanchez Rodriguez, "Fractional robust control of main irrigation canals with variable dynamic parameters," Control Eng. Pract., vol. 15, no. 16, pp. 673-686, Jun. 2007.
-
(2007)
Control Eng. Pract
, vol.15
, Issue.16
, pp. 673-686
-
-
Feliu-Batlle, V.1
Rivas Perez, R.2
Sanchez Rodriguez, L.3
-
14
-
-
15544389469
-
Robust speed control of a low damped electromechanical system based on CRONE control: Application to a four mass experimental test bench
-
Dec
-
J. Sabatier, S. Poullain, P. Latteux, J. L. Thomas, and A. Oustaloup, "Robust speed control of a low damped electromechanical system based on CRONE control: Application to a four mass experimental test bench," Nonlinear Dyn., vol. 38, no. 1-4, pp. 383-400, Dec. 2004.
-
(2004)
Nonlinear Dyn
, vol.38
, Issue.1-4
, pp. 383-400
-
-
Sabatier, J.1
Poullain, S.2
Latteux, P.3
Thomas, J.L.4
Oustaloup, A.5
-
15
-
-
0242339711
-
-
Berlin, Germany: Springer-Verlag
-
J. I. Suárez, B. M. Vinagre, A. J. Calderón, C. A. Monje, and Y. Q. Chen, Using Fractional Calculus for Lateral and Longitudinal Control of Autonomous Vehicles, vol. 2809. Berlin, Germany: Springer-Verlag, 2004.
-
(2004)
Using Fractional Calculus for Lateral and Longitudinal Control of Autonomous Vehicles
, vol.2809
-
-
Suárez, J.I.1
Vinagre, B.M.2
Calderón, A.J.3
Monje, C.A.4
Chen, Y.Q.5
-
16
-
-
33745712064
-
Fractional-order control strategies for power electronic buck converters
-
Oct
-
A. J. Calderon, B. M. Vinagre, and V. Feliu, "Fractional-order control strategies for power electronic buck converters," Signal Process. vol. 86, no. 10, pp. 2803-2819, Oct. 2006.
-
(2006)
Signal Process
, vol.86
, Issue.10
, pp. 2803-2819
-
-
Calderon, A.J.1
Vinagre, B.M.2
Feliu, V.3
-
17
-
-
3042567794
-
Practical application of digital fractional-order controller to temperature control
-
I. Petráš and B. M. Vinagre, "Practical application of digital fractional-order controller to temperature control," Acta Montan. Slovaca, vol. 7, no. 2, pp. 131-137, 2002.
-
(2002)
Acta Montan. Slovaca
, vol.7
, Issue.2
, pp. 131-137
-
-
Petráš, I.1
Vinagre, B.M.2
-
18
-
-
27744589296
-
Finite time stability analysis of PDα fractional control of robotic time-delay systems
-
Mar./Apr
-
M. P. Lazarevic, "Finite time stability analysis of PDα fractional control of robotic time-delay systems," Mech. Res. Commun., vol. 33, no. 2, pp. 269-279, Mar./Apr. 2006.
-
(2006)
Mech. Res. Commun
, vol.33
, Issue.2
, pp. 269-279
-
-
Lazarevic, M.P.1
-
19
-
-
0036648507
-
A suggestion of fractional-order controller for flexible spacecraft attitude control
-
Jul
-
S. Manabe, "A suggestion of fractional-order controller for flexible spacecraft attitude control," Nonlinear Dyn., vol. 29, no. 1-4, pp. 251-268, Jul. 2002.
-
(2002)
Nonlinear Dyn
, vol.29
, Issue.1-4
, pp. 251-268
-
-
Manabe, S.1
-
20
-
-
41549148741
-
Tuning and auto-tuning of fractional order controllers for industry applications
-
Jul, DOI:10.1016/j.conengprac.2007.08.006
-
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., vol. 16, no. 7, pp. 798-812, Jul. 2008. DOI:10.1016/j.conengprac.2007.08.006.
-
(2008)
Control Eng. Pract
, vol.16
, Issue.7
, pp. 798-812
-
-
Monje, C.A.1
Vinagre, B.M.2
Feliu, V.3
Chen, Y.Q.4
-
21
-
-
33744797404
-
Case study of the TP-model transformation in the control of a complex dynamic model with structural nonlinearity
-
Jun
-
P. Baranyi and Y. Yam, "Case study of the TP-model transformation in the control of a complex dynamic model with structural nonlinearity," IEEE Trans. Ind. Electron., vol. 53, no. 3, pp. 895-904, Jun. 2006.
-
(2006)
IEEE Trans. Ind. Electron
, vol.53
, Issue.3
, pp. 895-904
-
-
Baranyi, P.1
Yam, Y.2
-
22
-
-
19044380601
-
Control of chaos: Methods and applications in engineering
-
A. L. Fradkov and R. J. Evans, "Control of chaos: Methods and applications in engineering," Annu. Rev. Control, vol. 29, no. 1, pp. 33-56, 2005.
-
(2005)
Annu. Rev. Control
, vol.29
, Issue.1
, pp. 33-56
-
-
Fradkov, A.L.1
Evans, R.J.2
-
23
-
-
61449239130
-
-
New York: Springer-Verlag
-
V. G. Ivancevic and T. T. Ivancevic, High-Dimensional Chaotic and Attractor Systems: A Comprehensive Introduction, Series: Intelligent Systems, Control and Automation: Science and Engineering, vol. 32. New York: Springer-Verlag, 2007.
-
(2007)
High-Dimensional Chaotic and Attractor Systems: A Comprehensive Introduction, Series: Intelligent Systems, Control and Automation: Science and Engineering
, vol.32
-
-
Ivancevic, V.G.1
Ivancevic, T.T.2
-
24
-
-
51249088596
-
Chaotic attractors in incommensurate fractional order systems
-
M. S. Tavazoei and M. Haeri, "Chaotic attractors in incommensurate fractional order systems," Phys. D, Nonlinear Phenom., vol. 237, no. 20, pp. 2628-2637, 2008.
-
(2008)
Phys. D, Nonlinear Phenom
, vol.237
, Issue.20
, pp. 2628-2637
-
-
Tavazoei, M.S.1
Haeri, M.2
-
25
-
-
24144473625
-
Chaos and chaotic control in a fractional-order electronic oscillator
-
May
-
X. Gao and J. B. Yu, "Chaos and chaotic control in a fractional-order electronic oscillator," Chinese Phys., vol. 14, no. 5, pp. 908-913, May 2005.
-
(2005)
Chinese Phys
, vol.14
, Issue.5
, pp. 908-913
-
-
Gao, X.1
Yu, J.B.2
-
26
-
-
23844549787
-
Control of fractional-order Chua's system
-
I. Petras, "Control of fractional-order Chua's system," J. Electr. Eng., vol. 53, pp. 219-222, 2002.
-
(2002)
J. Electr. Eng
, vol.53
, pp. 219-222
-
-
Petras, I.1
-
27
-
-
34848901352
-
Dynamic analysis of the fractional-order Liu system and its synchronization
-
Sep
-
X. Y. Wang and M. J. Wang, "Dynamic analysis of the fractional-order Liu system and its synchronization," Chaos, vol. 17, no. 3, p. 033 106, Sep. 2007.
-
(2007)
Chaos
, vol.17
, Issue.3
, pp. 033-106
-
-
Wang, X.Y.1
Wang, M.J.2
-
29
-
-
0002731965
-
Stability result on fractional differential equations with applications to control processing
-
Lille, France
-
D. Matignon, "Stability result on fractional differential equations with applications to control processing," in Proc. IMACS-SMC, Lille, France, 1996, pp. 963-968.
-
(1996)
Proc. IMACS-SMC
, pp. 963-968
-
-
Matignon, D.1
-
30
-
-
33947133956
-
Stability analysis of linear fractional differential system with multiple time delays
-
Jun
-
W. Deng, C. Li, and J. Lü, "Stability analysis of linear fractional differential system with multiple time delays," Nonlinear Dyn., vol. 48, no. 4, pp. 409-416, Jun. 2007.
-
(2007)
Nonlinear Dyn
, vol.48
, Issue.4
, pp. 409-416
-
-
Deng, W.1
Li, C.2
Lü, J.3
-
31
-
-
0027685164
-
Shil'nikov's theorem-A tutorial
-
Oct
-
C. P. Silva, "Shil'nikov's theorem-A tutorial," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 40, no. 10, pp. 675-682, Oct. 1993.
-
(1993)
IEEE Trans. Circuits Syst. I, Fundam. Theory Appl
, vol.40
, Issue.10
, pp. 675-682
-
-
Silva, C.P.1
-
32
-
-
38149125451
-
Chaos control via a simple fractional-order controller
-
Feb
-
M. S. Tavazoei and M. Haeri, "Chaos control via a simple fractional-order controller," Phys. Lett. A, vol. 372, no. 6, pp. 798-807, Feb. 2008.
-
(2008)
Phys. Lett. A
, vol.372
, Issue.6
, pp. 798-807
-
-
Tavazoei, M.S.1
Haeri, M.2
-
33
-
-
45949102670
-
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., vol. 222, pt. I, pp. 175-184, 2008.
-
(2008)
J. Syst. Control Eng
, vol.222
, Issue.PART. I
, pp. 175-184
-
-
Tavazoei, M.S.1
Haeri, M.2
Jafari, S.3
-
34
-
-
0003792312
-
-
Englewood Cliffs, NJ: Prentice-Hall
-
T. Kailath, Linear Systems. Englewood Cliffs, NJ: Prentice-Hall, 1980.
-
(1980)
Linear Systems
-
-
Kailath, T.1
-
36
-
-
48349132791
-
Experimental study and synchronization of Chen systems via single state unidirectional coupling
-
Seoul, Korea
-
S. Jafari, M. Haeri, and M. S. Tavazoei, "Experimental study and synchronization of Chen systems via single state unidirectional coupling," in Proc. ICCAS, Seoul, Korea, 2007, pp. 963-967.
-
(2007)
Proc. ICCAS
, pp. 963-967
-
-
Jafari, S.1
Haeri, M.2
Tavazoei, M.S.3
-
37
-
-
16244422016
-
Real-time control systems: A tutorial
-
Melbourne, Australia, Jul. 20-23
-
A. Gambier, "Real-time control systems: A tutorial," in Proc. 5th Asian Control Conf., Melbourne, Australia, Jul. 20-23, 2004, vol. 2, pp. 1024-1031.
-
(2004)
Proc. 5th Asian Control Conf
, vol.2
, pp. 1024-1031
-
-
Gambier, A.1
-
38
-
-
0033888365
-
Frequency-band complex non integer differentiator: Characterization and synthesis
-
Jan
-
A. Oustaloup, F. Levron, F. Nanot, and B. Mathieu, "Frequency-band complex non integer differentiator: Characterization and synthesis," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 47, no. 1, pp. 25-39, Jan. 2000.
-
(2000)
IEEE Trans. Circuits Syst. I, Fundam. Theory Appl
, vol.47
, Issue.1
, pp. 25-39
-
-
Oustaloup, A.1
Levron, F.2
Nanot, F.3
Mathieu, B.4
-
40
-
-
56749159095
-
Using fractional-order integrator to control chaos in single-input chaotic systems
-
to be published, DOI 10.1007/s11071-008-9353-3
-
M. S. Tavazoei, M. Haeri, S. Bolouki, and M. Siami, "Using fractional-order integrator to control chaos in single-input chaotic systems," Nonlinear Dyn., 2008. DOI 10.1007/s11071-008-9353-3, to be published.
-
(2008)
Nonlinear Dyn
-
-
Tavazoei, M.S.1
Haeri, M.2
Bolouki, S.3
Siami, M.4
-
41
-
-
0035271861
-
Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices
-
Mar
-
A. Elwakil and M. Kennedy, "Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 3, pp. 289-307, Mar. 2001.
-
(2001)
IEEE Trans. Circuits Syst. I, Fundam. Theory Appl
, vol.48
, Issue.3
, pp. 289-307
-
-
Elwakil, A.1
Kennedy, M.2
-
42
-
-
56349163740
-
Comparison of the methods for discrete approximation of the fractional-order operator
-
L. Dorcak, I. Petras, J. Terpak, and M. Zborovjan, "Comparison of the methods for discrete approximation of the fractional-order operator," Acta Montan. Slovaca, vol. 8, pp. 236-239, 2003.
-
(2003)
Acta Montan. Slovaca
, vol.8
, pp. 236-239
-
-
Dorcak, L.1
Petras, I.2
Terpak, J.3
Zborovjan, M.4
-
43
-
-
4243489552
-
Controlling chaos
-
Mar
-
E. Ott, C. Grebogi, and J. A. Yorke, "Controlling chaos," Phys. Rev. Lett., vol. 64, no. 11, pp. 1196-1199, Mar. 1990.
-
(1990)
Phys. Rev. Lett
, vol.64
, Issue.11
, pp. 1196-1199
-
-
Ott, E.1
Grebogi, C.2
Yorke, J.A.3
-
44
-
-
33750409231
-
Linear controllers for the stabilization of unknown steady states of chaotic systems
-
Oct
-
H. Huijberts, "Linear controllers for the stabilization of unknown steady states of chaotic systems," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 53, no. 10, pp. 2246-2254, Oct. 2006.
-
(2006)
IEEE Trans. Circuits Syst. I, Reg. Papers
, vol.53
, Issue.10
, pp. 2246-2254
-
-
Huijberts, H.1
-
45
-
-
34547976332
-
Chaoization of DC motors for industrial mixing
-
Aug
-
S. Ye and K. T. Chau, "Chaoization of DC motors for industrial mixing," IEEE Trans. Ind. Electron., vol. 54, no. 4, pp. 2024-2032, Aug. 2007.
-
(2007)
IEEE Trans. Ind. Electron
, vol.54
, Issue.4
, pp. 2024-2032
-
-
Ye, S.1
Chau, K.T.2
|