| Title:
|
Predictability and control synthesis (English) |
| Author:
|
Declerck, Philippe |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
35 |
| Issue:
|
1 |
| Year:
|
1999 |
| Pages:
|
[25]-38 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Processes modeled by a timed event graph may be represented by a linear model in dioïd algebra. The aim of this paper is to make temporal control synthesis when state vector is unknown. This information loss is compensated by the use of a simple model, the “ARMA” equations, which enables to introduce the concept of predictability. The comparison of the predictable output trajectory with the desired output determines the reachability of the objective. (English) |
| Keyword:
|
synthesis problems |
| Keyword:
|
predictability |
| Keyword:
|
ARMA model |
| Keyword:
|
Dioid algebra |
| Keyword:
|
reachability of the objective |
| MSC:
|
93B25 |
| MSC:
|
93B50 |
| MSC:
|
93C30 |
| MSC:
|
93C65 |
| MSC:
|
93C83 |
| idZBL:
|
Zbl 1274.93188 |
| idMR:
|
MR1705528 |
| . |
| Date available:
|
2009-09-24T19:23:01Z |
| Last updated:
|
2015-03-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135265 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Brat G. P., Garg V. K.: A max–plus algebra of signals for the supervisory control of real–time discrete event systems.In: 9th Symposium of the IFAC on Information Control in Manufacturing, Nancy–Metz 1998 |
| Reference:
|
[4] Cofer D. D., Garg V. K.: A timed model for the control of discrete event systems involving decisions in the max/plus algebra.In: Proc. 31st Conference on Decision and Control, Tucson 1992 |
| Reference:
|
[5] Cofer D. D.: Control and Analysis of Real–Time Discrete Event Systems.Ph.D. Thesis, University of Texas, Austin 1995 |
| Reference:
|
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| Reference:
|
[7] Cohen G., Gaubert S., Quadrat J.-P.: From first to second–order theory of linear discrete event systems.In: 1st IFAC World Congress, Sydney 1993 |
| Reference:
|
[8] Declerck, Ph.: “ARMA” model and admissible trajectories in timed event graphs.In: CESA’96, IMACS, IEEE–SMC, Lille 1996 |
| Reference:
|
[9] Declerck, Ph.: Control synthesis using the state equations and the “ARMA” model in timed event graphs.In: 5th IEEE Mediterranean Conference on Control and Systems, Paphos 1997 |
| Reference:
|
[10] Declerck, Ph., Mares M.: Temporal control synthesis and failure recovery.In: 9th Symposium of the IFAC on Information Control in Manufacturing, Nancy–Metz 1998 |
| Reference:
|
[11] Gaubert S.: Théorie des systèmes linéaires dans les dioïdes.Ph.D Thesis, Ecole des Mines de Paris 1992 |
| Reference:
|
[12] Gazarik M. J., Kamen E. W.: Reachability and observability of linear systems over max–plus.In: 5th IEEE Mediterranean Conference on Control and Systems, Paphos 1997, revised version: Kybernetika 35 (1999), 2–12 MR 1705526 |
| Reference:
|
[13] Gondran M., Minoux M.: Graphes et algorithmes.Edition Eyrolles 1995 Zbl 1172.05001 |
| Reference:
|
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| . |
