Title:
|
Polynomial controller design based on flatness (English) |
Author:
|
Rotella, Frédéric |
Author:
|
Carillo, Francisco Javier |
Author:
|
Ayadi, Mounir |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
38 |
Issue:
|
5 |
Year:
|
2002 |
Pages:
|
[571]-584 |
Summary lang:
|
English |
. |
Category:
|
physics |
. |
Summary:
|
By the use of flatness the problem of pole placement, which consists in imposing closed loop system dynamics can be related to tracking. Polynomial controllers for finite-dimensional linear systems can then be designed with very natural choices for high level parameters design. This design leads to a Bezout equation which is independent of the closed loop dynamics but depends only on the system model. (English) |
Keyword:
|
polynomial controller |
Keyword:
|
linear system |
Keyword:
|
parameters design |
MSC:
|
93B50 |
MSC:
|
93B52 |
MSC:
|
93B55 |
MSC:
|
93C05 |
MSC:
|
93C10 |
idZBL:
|
Zbl 1265.93118 |
idMR:
|
MR1966946 |
. |
Date available:
|
2009-09-24T19:48:50Z |
Last updated:
|
2015-03-25 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135487 |
. |
Reference:
|
[1] Aström K. J., Bernardson B., Ringdhal A.: Solution using robust adaptive pole placement.In: Proc. European Control Conference (ECC’91), Grenoble 1991, pp. 1341–2346 |
Reference:
|
[2] Aström K. J., Wittenmark B.: Computer Controlled Systems, Theory and Design.Prentice Hall, Englewood Cliffs, N.J. 1990 |
Reference:
|
[3] Bitaud L., Fliess, M., Lévine J.: A flatness based control synthesis of linear systems and application to windshield wipers.In: Proc. European Control Conference (ECC’97), Bruxelles 1997 |
Reference:
|
[4] Fliess M.: Sur des pensers nouveaux faisons des vers anciens.In: Proc. CIFA2000, Lille 2000, pp. 26–36 |
Reference:
|
[5] Fliess M., Lévine J., Martin,, Ph., Rouchon P.: Sur les systèmes non linéaires différentiellement plats.C. R. Acad. Sci. Paris I-315 (1992), 619–624 Zbl 0776.93038, MR 1181303 |
Reference:
|
[6] Fliess M., Lévine J., Martin, Ph., Rouchon P.: Linéarisation par bouclage dyna- mique et transformées de Lie–Backlund.C. R. Acad. Sci. Paris I-317 (1993), 981–986 MR 1249373 |
Reference:
|
[7] Fliess M., Lévine J., Martin, Ph., Rouchon P.: Flatness and defect of nonlinear systems: introductory theory and applications.Internat. J. Control 61 (1995), 6, 1327–1361 MR 1613557, 10.1080/00207179508921959 |
Reference:
|
[8] Fliess M., Lévine J., Martin, Ph., Rouchon P.: A Lie–Bäcklund approach to equivalence and flatness of nonlinear system.IEEE Trans. Automat. Control 44 (1999), 922–937 MR 1690537, 10.1109/9.763209 |
Reference:
|
[9] Fliess M., Mounier H.: Controllability and observability of linear delay systems: an algebraic approach.ESAIM: Control, Optimization and Calculus of Variations 3 (1998), 301–314 Zbl 0908.93013, MR 1644427, 10.1051/cocv:1998111 |
Reference:
|
[10] Fliess M., Sira-Ramirez, H., Marquez R.: Regulation of non minimum phase outputs: a flatness approach.In: Perspectives in Control Theory & Applications, Colloquim in Honor of I. D. Landau, Paris, Springer–Verlag, Berlin 1998 |
Reference:
|
[11] Franklin G. F., Powell J. D., Workman M.: Digital Control of Dynamic Systems.Addison–Wesley, Reading 1998 Zbl 0697.93002 |
Reference:
|
[12] Isidori A.: Nonlinear Control Systems.Springer–Verlag, Berlin 1989 Zbl 0931.93005 |
Reference:
|
[13] Horowitz I. M.: Synthesis of Feedback Systems.Wiley, New York 1963 Zbl 0515.93023 |
Reference:
|
[14] Kailath T.: Linear Systems.Prentice–Hall, Englewood Cliffs, N.J. 1980 Zbl 0870.93013, MR 0569473 |
Reference:
|
[15] Kučera V.: Analysis and Design of Discrete Linear Control Systems.Prentice Hall, Englewood Cliffs, N.J. 1991 Zbl 0762.93060, MR 1182311 |
Reference:
|
[16] Landau I. D.: Identification et Commande des Processus.Hermès, Paris 1993 |
Reference:
|
[17] Landau I. D., Lozano R., M’Saad M.: Adaptive Control.Springer–Verlag, New York 1998 Zbl 1234.93002, MR 1483072 |
Reference:
|
[18] Lévine J., Lottin J., Ponsart J. C.: A nonlinear approach to the control of magnetic bearings.IEEE Trans. Control Systems Techn. 4 (1996), 5, 524–44 10.1109/87.531919 |
Reference:
|
[19] Lévine J.: Are there new industrial perspectives in the control of mechanical systems? In: Advances in Control (P.M. Frank, ed.), Springer–Verlag, New York 1999, pp. 197–226 |
Reference:
|
[20] Marquez R., Delaleau E., Fliess M.: Commande par PID généralisé d’un moteur électrique sans capteur mécanique.In: Proc. CIFA 2000, Lille 2000, pp. 453–458 |
Reference:
|
[21] Nijmeijer H., Schaft, Van Der: Nonlinear Dynamical Control Systems.Springer–Verlag, Berlin 1990 Zbl 0701.93001, MR 1047663 |
Reference:
|
[22] Rotella F., Carrillo F. J.: Flatness based control of a turning process.In: Proc. CESA’98, Vol. 1, Hammamet 1998, pp. 397–402 |
Reference:
|
[23] Rotella F., Carrillo F. J.: Flatness approach for the numerical control of a turning process.In: Proc. European Control Conference (ECC’99), Karlsruhe 1999 |
Reference:
|
[24] Rotella F., Carrillo F. J., Ayadi M.: Digital flatness-based robust controller applied to a thermal process.In: IEEE–CCA, Mexico–City 2001, pp. 936–941 |
Reference:
|
[25] Rothfuß R., Rudolph, J., Zeitz M.: Flatness based control of a nonlinear chemical reactor.Automatica 32 (1996), 10, 1433–1439 Zbl 0865.93046, MR 1420044, 10.1016/0005-1098(96)00090-8 |
. |