CRONE Control: Principles, extensions and applications

Journal of Applied Nonlinear Dynamics

Volumn 2, Issue 3, 2013, Pages 207-223

  Oustaloup, A ^a   Lanusse, P ^a   Sabatier, J ^a   Melchior, P ^a  

^a UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

CRONE control; Fractional differentiation

Indexed keywords

EID: 84904337627     PISSN: 21646457     EISSN: 21646473     Source Type: Journal    
DOI: 10.5890/JAND.2013.08.001     Document Type: Article

References (50)

1. Manabe, S. (1961), The non integer Integral and its Application to control systems, Electrotechnical Journal of Japan, 6(3-4), 83-87
2. Podlubny, I. (1999), Fractional-order systems and PID-controller, IEEE Transactions on Automatic Control, 44(1), 208-214
3. Petras, I. and Dorcak, L. (1999), The frequency method for stability investigation of fractional control systems, Stability and Control: Theory and Applications, 2 (1-2), 75-85 (www.cer.co.za/sacta/)
4. Tenreiro Machado, J.A. (1997), Analysis and design of fractional-order Digital Control Systems, Journal of Systems Analysis, Modelling, Simulation, 27, 107-122
5. Oustaloup, A. (1991), La commande CRONE, Herms Editions, Paris
6. Oustaloup, A. (1991), The CRONE control, in Proceedings of the European Control Conference ECC'91, Grenoble, France, July, 275-280
7. Oustaloup, A. and Mathieu, B. (1999), La commande CRONE: du scalaire au multivariable, Hermes Editions, Paris
8. Kwakernaak, H. (1993), Robust Control and H-Optimization, Automatica, 29(2), 255-273
9. Maciejowski, J.M. (1989), Multivariable Feedback Design, Addison-Wesley, Wokingham, England
10. Horowitz, I.M. and Sidi, M. (1972), Synthesis of feedback systems with large plant ignorance for prescribed time-domain tolerances, International Journal of Control, 16, 287-309
11. Horowitz, I.M. (1991), Survey of quantitative feedback theory (QFT), International Journal of Control, 53, 255-291
12. Horowitz, I.M. (1993), Quantitative Feedback Design Theory QFT, QFT Publications, Boulder, Colorado
13. Oustaloup, A. (1975), Etude et ralisation d'un systme d'asservissement d'ordre 3/2 de la frquence d'un laser colorant continu, PhD Thesis, Universit Bordeaux I, France
14. Oustaloup, A. (1983), Systmes Asservis Lineaire Dordre Fractionnaire, Masson Editions, Paris
15. Bode, H.W. (1945), Network Analysis and Feedback Amplifier Design, Van Nostrand, New York
16. Oustaloup, A., Mathieu, B., and Lanusse, P. (1995), Intgration non entire complexe et contours d'isoamortissement, Automatique, Productique, Informatique Industrielle, 29(1), 177-202
17. Oustaloup, A., Mathieu, B., Lanusse, P., and Sabatier, J. (1996), La commande CRONE: de la robustesse fractale un gbarit curviligne en boucle ouverte, Chapter 6 of Commande robuste: developpements et applications, Herms Editions, Paris
18. Oustaloup, A., Levron, F., Nanot, F., and Mathieu, B. (2000), Frequency band complex non integer differentiator: characterization and synthesis, IEEE Transactions on Circuits and Systems, 47(1), 25-40
19. Oustaloup, A., Mathieu, B., and Lanusse, P. (1995), The CRONE control of resonant plants: application to a flexible transmission, European Journal of Control, 1(2), 113-121
20. Lanusse, P., Oustaloup, A., and Mathieu, B. (2000), Robut control of LTI MIMO plants using two CRONE control design approaches, in Proceedings of the IFAC symposium on Robust Control Design, ROCOND'2000, Prague, Czech Republic, June
21. Nelson-Gruel, D., Lanusse, P., and Oustaloup, A. (2008), Decentralized CRONE control of m×n multivariable system with time-delay, 3nd IFAC Workshop on "Fractional Differentiation and its Applications" (FDA'08)-Ankara, Turquie
22. Nelson-Gruel, D., Lanusse, P., and Oustaloup, A. (2009), Robust control design for multivariable plants with time-delays, Chemical Engineering Journal, 146 (3), 414-427
23. Pommier, V., Lanusse, P., Sabatier, J., and Oustaloup, A.(2001), Input-Output linearisation and fractional robust control of a non linear plant, in Proceedings of European control conference ECC2001, Porto, Protugal, September, 1553-1558
24. Pommier-Buninger, V., Lanusse, P., Sabatier, J., and Oustaloup, A. (2006), Fractional robust control of a nonlinear plant: Control of a nonlinear testing bench using the singular perturbation technique and the CRONE approach, JESA, 40 (2)
25. Sabatier, J., Oustaloup, A., Lanusse, P., and Robin, G. (1995), Optimal CRONE control of a wire guided robot, in Proceedings of 7th International Conference on Advanced Robotics ICAR95, Sant Feliu de Guixols, Spain, September, 356-363
26. Sabatier, J., Garcia Iturricha, A., Oustaloup, A., and Levron, F. (1998), Third generation CRONE control of continuous linear time periodic systems, in Proceedings of IFAC Conference on System Structure and Control, CSSC98, Nantes, France, July, 315-320
27. Sabatier, J., Garcia Iturricha, A., and Oustaloup, A. (2001), Commande CRONE de systmes linaires non stationnaires chantillonns coefficients priodiques, European Journal of Automation, 35(1-2), 149-168
28. Oustaloup, A., Melchior, P., Lanusse, P., Cois, O., and Dancla, F. (2000), The CRONE toolbox for Matlab, in Proceedings of the 11th IEEE International Symposium on Computer-Aided Control System Design, Anchorage, Alaska, September, 190-195
29. Malti, R., Melchior, P., and Lanausse, P., and Oustaloup, A. (2011), Towards an object oriented CRONE Toolbox for fractional differential systems, 18th IFACWorld Congress, Milan, Italy, August 28-September 2
30. Sabatier, J., Moze, M., Lanusse, P., and Oustaloup, A.(2008), Recursive distributions of poles and zeros for linear phase variations, Journal of Vibration and Control, 14, 1557-1571
31. Francis, B.A. and Zames, G. (1974), On H8 optimal sensitivity theory for SISO feedback systems, IEEE Transactions on Automatic Control, 29, 9-16
32. Freudenberg, J.S. and Looze, J.S. (1985), Right half plane poles and zeros and design tradeoffs in feedback systems, IEEE Transactions on Automatic Control, 30, 555-565
33. Kwakernaak, H. (1994), La commande robuste: optimisation sensibilit mixte, Chapter 2 of La robustesse, coordinated by A. Oustaloup, Editions HERMES, Paris
34. Lanusse, P., Oustaloup, A., and Sabatier, J. (2005), Step-by-step presentation of a 3rd generation CRONE controller design with an anti-windup system-Fifth EUROMECH Nonlinear Dynamics Conference (ENOC'05)-Eindhoven, The Netherlands, August 7-12
35. Lanusse, P. and Oustaloup, A. (2004), Windup Compensation System for Fractional Controller; 1st IFAC Workshop on Fractional Differentiation and its Applications, FDA04, Bordeaux, France
36. Graybill, F.A. (1969), Introduction to Matrices with Applications in Statistics, Wadsworth ed
37. Sansone, G. (1959), Orthogonal functions, Pure and Applied Mathematic, Vol IX, Interscience Publishers, New York
38. Zadeh, A.L. (1950), Frequency analysis of variable Networks, Proc. of I.R.E., 291-299
39. Sabatier, J., Oustaloup, A., Garcia Iturricha, A., and Levron, F., (2003), CRONE control of continuous linear time periodic systems: application to a testing bench, ISA Transactions, 42 (3)
40. Sabatier, J., Oustaloup, A., Garcia Iturricha, A., and Lanusse, P. (2002), CRONE control: Principles and extension to time-variant plants with asymptotically constant coefficients, Nonlinear Dynamics, Kluwer Academic Publishers, 29 (1-4), 363-385
41. Sabatier, J., Garcia Iturricha, A., Moze, M., and Oustaloup, A. (2008), Application of CRONE control to a sampled time varying system with periodic coefficients, Journal of Dynamic Systems, Measurement and Control, 30(6)
42. Apkarian, P., Biannic, J.-M., Gahinet, P. (1995), Self-scheduled H8 control of missile via linear matrix inequalities, Journal of Guidance, Control, and Dynamics, 18(3), 532-538
43. Apkarian, P. and Gahinet (1995), A convex characterization of gain-scheduled H8 controller, The IEEE Transactions on Automatic Control, 40(5), 853-864
44. Moze, M.(2007), Commande CRONE des systmes Linaires Paramtres Variants, PhD theisi dissertation, Bordeaux 1 University, November
45. Sabatier, J., Moze, M., and Oustaloup, A. (2010), Air-Fuel Ratio Control of an Internal Combustion engine using CRONE control extended to LPV systems, New Trends in Nanotechnology and Fractional Calculus Applications, 71-86
46. Lanusse, P. (1994), De la commande CRONE de premire gnration la commande CRONE de troisime gnration, Thse de Doctorat, Universit Bordeaux I, 14 Fvrier
47. Orsoni, B., Melchior, P., Badie, Th., Robin, G., Oustaloup, A. (2002), Fractional motion control: application to an XY cutting table-International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, Special Issue on "Fractional Order Calculus and its Applications", Kluwer Academic Publishers, 29 (1-4), 297-314
48. Poullain, S., Latteux, P., Thomas, J.-L., Sabatier, J., and Oustaloup, A. (2005), Robust speed control of a low damped electromechanical system: application to a four mass experimental test bench, European Power Electronics and Drives Journal, 15 (3)
49. Sabatier, J., Poullain, S., Latteux, P., Thomas, J.-L., and Oustaloup, A. (2004), Robust speed control of a low damped electromechanical system based on Crone control: application to a four mass experimental test bench, International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, 38(1-4), 383-400
50. Oustaloup, A., Cois, O., Lanusse, P., Melchior, P., Moreau, X., Sabatier, J., and Thomas, J.-L. (2005), A survey on the CRONE approach-Chapter 17, 735-780, Part 3 "Systems analysis, implementation and simulation, systems identification and control" of the book: A. LE MEHAUTE, J.A. TENREIRO MACHADO, J.-C. TRIGEASOU and J. SABATIER (Editors)-Fractional differentiation and its applications-Ubooks Verlag Ed., Neus, November