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Analysis of preemptive periodic real-time systems using the (max, plus) algebra with applications in robotics

Identifieur interne : 000857 ( PascalFrancis/Corpus ); précédent : 000856; suivant : 000858

Analysis of preemptive periodic real-time systems using the (max, plus) algebra with applications in robotics

Auteurs : Francois Baccelli ; Bruno Gaujal ; Daniel Simon

Source :

RBID : Pascal:02-0504327

Descripteurs français

English descriptors

Abstract

In this paper we present the model of a system of periodic real-time tasks with fixed priorities, preemption and synchronization, performed by a robot controller, using marked graphs. Then, with the help of the (max,plus) algebra, we derive simple tests to check real-time constraints on those tasks such as response times and the respect of deadlines. This method takes into account precedence and synchronization constraints and is not limited to a particular scheduling policy.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

pA  
A01 01  1    @0 1063-6536
A02 01      @0 IETTE2
A03   1    @0 IEEE trans. control syst. technol.
A05       @2 10
A06       @2 3
A08 01  1  ENG  @1 Analysis of preemptive periodic real-time systems using the (max, plus) algebra with applications in robotics
A11 01  1    @1 BACCELLI (Francois)
A11 02  1    @1 GAUJAL (Bruno)
A11 03  1    @1 SIMON (Daniel)
A14 01      @1 ENS @2 Paris @3 FRA @Z 1 aut.
A14 02      @1 Loria @2 Villers lès Nancy @3 FRA @Z 2 aut.
A14 03      @1 Inria Rhône-Alpes @2 38330 Montbonnot @3 FRA @Z 3 aut.
A20       @1 368-380
A21       @1 2002
A23 01      @0 ENG
A43 01      @1 INIST @2 26265
A44       @0 A300
A45       @0 19 ref.
A47 01  1    @0 02-0504327
A60       @1 P
A61       @0 A
A64 01  1    @0 IEEE transactions on control systems technology
A66 01      @0 USA
C01 01    ENG  @0 In this paper we present the model of a system of periodic real-time tasks with fixed priorities, preemption and synchronization, performed by a robot controller, using marked graphs. Then, with the help of the (max,plus) algebra, we derive simple tests to check real-time constraints on those tasks such as response times and the respect of deadlines. This method takes into account precedence and synchronization constraints and is not limited to a particular scheduling policy.
C02 01  X    @0 001D02D11
C02 02  X    @0 001D02A03
C03 01  X  FRE  @0 Robotique @5 01
C03 01  X  ENG  @0 Robotics @5 01
C03 01  X  SPA  @0 Robótica @5 01
C03 02  X  FRE  @0 Système périodique @5 02
C03 02  X  ENG  @0 Periodic system @5 02
C03 02  X  SPA  @0 Sistema periódico @5 02
C03 03  X  FRE  @0 Temps réel @5 03
C03 03  X  ENG  @0 Real time @5 03
C03 03  X  SPA  @0 Tiempo real @5 03
C03 04  X  FRE  @0 Ordonnancement @5 04
C03 04  X  ENG  @0 Scheduling @5 04
C03 04  X  SPA  @0 Ordonamiento @5 04
C03 05  X  FRE  @0 Graphe @5 05
C03 05  X  ENG  @0 Graph @5 05
C03 05  X  SPA  @0 Grafo @5 05
C03 06  X  FRE  @0 Méthode algébrique @5 06
C03 06  X  ENG  @0 Algebraic method @5 06
C03 06  X  SPA  @0 Método algebraico @5 06
C03 07  X  FRE  @0 Synchronisation @5 07
C03 07  X  ENG  @0 Synchronization @5 07
C03 07  X  SPA  @0 Sincronización @5 07
C03 08  X  FRE  @0 Priorité @5 08
C03 08  X  ENG  @0 Priority @5 08
C03 08  X  SPA  @0 Prioridad @5 08
C03 09  X  FRE  @0 Réponse temporelle @5 11
C03 09  X  ENG  @0 Time response @5 11
C03 09  X  SPA  @0 Respuesta temporal @5 11
C03 10  X  FRE  @0 Temps réponse @5 12
C03 10  X  ENG  @0 Response time @5 12
C03 10  X  SPA  @0 Tiempo respuesta @5 12
C03 11  X  FRE  @0 Modélisation @5 21
C03 11  X  ENG  @0 Modeling @5 21
C03 11  X  SPA  @0 Modelización @5 21
C03 12  X  FRE  @0 Algèbre max plus @5 22
C03 12  X  ENG  @0 Max plus algebra @5 22
C03 12  X  SPA  @0 Algebra max plus @5 22
C03 13  X  FRE  @0 Contrainte précédence @5 23
C03 13  X  ENG  @0 Precedence constraint @5 23
C03 13  X  SPA  @0 Constreñimiento precedencia @5 23
C03 14  X  FRE  @0 Préemption @4 INC @5 82
N21       @1 294
N82       @1 PSI

Format Inist (serveur)

NO : PASCAL 02-0504327 CRAN
ET : Analysis of preemptive periodic real-time systems using the (max, plus) algebra with applications in robotics
AU : BACCELLI (Francois); GAUJAL (Bruno); SIMON (Daniel)
AF : ENS/Paris/France (1 aut.); Loria/Villers lès Nancy/France (2 aut.); Inria Rhône-Alpes/38330 Montbonnot/France (3 aut.)
DT : Publication en série; Niveau analytique
SO : IEEE transactions on control systems technology; ISSN 1063-6536; Coden IETTE2; Etats-Unis; Da. 2002; Vol. 10; No. 3; Pp. 368-380; Bibl. 19 ref.
LA : Anglais
EA : In this paper we present the model of a system of periodic real-time tasks with fixed priorities, preemption and synchronization, performed by a robot controller, using marked graphs. Then, with the help of the (max,plus) algebra, we derive simple tests to check real-time constraints on those tasks such as response times and the respect of deadlines. This method takes into account precedence and synchronization constraints and is not limited to a particular scheduling policy.
CC : 001D02D11; 001D02A03
FD : Robotique; Système périodique; Temps réel; Ordonnancement; Graphe; Méthode algébrique; Synchronisation; Priorité; Réponse temporelle; Temps réponse; Modélisation; Algèbre max plus; Contrainte précédence; Préemption
ED : Robotics; Periodic system; Real time; Scheduling; Graph; Algebraic method; Synchronization; Priority; Time response; Response time; Modeling; Max plus algebra; Precedence constraint
SD : Robótica; Sistema periódico; Tiempo real; Ordonamiento; Grafo; Método algebraico; Sincronización; Prioridad; Respuesta temporal; Tiempo respuesta; Modelización; Algebra max plus; Constreñimiento precedencia
LO : INIST-26265
ID : 02-0504327

Links to Exploration step

Pascal:02-0504327

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   |texte=   Analysis of preemptive periodic real-time systems using the (max, plus) algebra with applications in robotics
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