| Title:
|
The structure of nonlinear time delay systems (English) |
| Author:
|
Márquez-Martínez, Luis A. |
| Author:
|
Moog, Claude H. |
| Author:
|
Velasco-Villa, Martín |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
36 |
| Issue:
|
1 |
| Year:
|
2000 |
| Pages:
|
53-62 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Multivariable nonlinear systems with time delays are considered. The delays are supposed to be constant but not commensurate. The goal of this paper is to give a structure algorithm which displays some system invariants for this class of systems. (English) |
| Keyword:
|
multivariable nonlinear system |
| Keyword:
|
time delay |
| MSC:
|
93B11 |
| MSC:
|
93C10 |
| MSC:
|
93C35 |
| idZBL:
|
Zbl 1249.93102 |
| idMR:
|
MR1760888 |
| . |
| Date available:
|
2009-09-24T19:31:01Z |
| Last updated:
|
2015-03-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135334 |
| . |
| Reference:
|
[1] Conte G., Moog C. H., Perdon A. M.: Nonlinear Control Systems: An Algebraic Setting.(Lecture Notes in Control and Information Sciences 242.) Springer–Verlag, London 1999 Zbl 0920.93002, MR 1687965 |
| Reference:
|
[2] Conte G., Perdon A. M.: The disturbance decoupling problem for systems over a ring.SIAM J. Control Optim. 33 (1995), 750–764 Zbl 0831.93011, MR 1327237, 10.1137/S0363012992235638 |
| Reference:
|
[3] Hale J.: Theory of Functional Differential Equations.Springer Verlag, New York 1977 Zbl 1092.34500, MR 0508721 |
| Reference:
|
[4] Iwai Z., Seborg D. E., Fisher D. G., Kobayashi N.: Decoupling of linear time variant systems with time delays in the control variable or state variable.Internat. J. Control 28 (1978), 869–888 MR 0528369, 10.1080/00207177808922503 |
| Reference:
|
[5] Malabre M., Rabah R.: Structure at infinity, model matching, and disturbance rejection for linear systems with delays.Kybernetika 29 (1993), 485–498 Zbl 0805.93008, MR 1264881 |
| Reference:
|
[6] Márquez–Martínez L. A., Moog C. H., Velasco–Villa M.: The structure of nonlinear time–delay systems.In: 6th IEEE MCCS. Sardinia 1998 |
| Reference:
|
[7] Moog C. H., Castro–Linares R., Velasco–Villa M., Márquez–Martínez L. A.: The disturbance decoupling problem for time–delay systems.IEEE Trans. Automat. Control. To appear |
| Reference:
|
[8] Singh S. N.: A modified algorithm for invertibility in nonlinear systems.IEEE Trans. Automat. Control 14 (1981), 595–598 Zbl 0488.93026, MR 0613595, 10.1109/TAC.1981.1102657 |
| Reference:
|
[9] Tzafestas S. G., Paraskevopoulos P. N.: On the decoupling of multivariable control systems with time delay systems.Internat. J. Control 17 (1973), 2, 405–415 MR 0314498, 10.1080/00207177308932387 |
| Reference:
|
[10] Velasco–Villa M., Moog C. H.: Disturbance decoupling problem for time–delay nonlinear systems: dynamic approach.In: IFAC Conference on Control and Systems’s Structure. Nantes 1998 |
| . |
