Analytic Calculus of Response Time in Networked Automation Systems

Boussad Addad (1) , Saïd Amari (1) , Jean-Jacques Lesage (1)

1 LURPA - Laboratoire Universitaire de Recherche en Production Automatisée

This paper presents a novel approach to evaluate the response time in networked automation systems (NAS) that use a client/server protocol. The developments introduced are derived from modeling the entire architecture in the form of timed event graphs (TEGs), as well as from the resulting state representation in Max-Plus algebra. The various architectural stages are actually modeled in a very abstract pattern, which yields just those TEG models where local delays are sufficient to perform the overall evaluation. In this manner, linear Max-Plus equations are obtained. A thorough analysis of these equations has led to analytical formulas for direct calculus of NAS response time. As a final step, experimental measurements taken on a laboratory facility have been used to verify the validity of the results. In conclusion, the benefit and effectiveness of this novel method have been demonstrated.

Mots clés: Networked Automation Systems; Response Time Evaluation; Max-Plus Algebra; Timed Events Graph; Switched Ethernet Networks.; Switched Ethernet Networks

Domaines: Automatique

Boussad Addad, Saïd Amari, Jean-Jacques Lesage. Analytic Calculus of Response Time in Networked Automation Systems. IEEE Transactions on Automation Science and Engineering, 2010, 7 (4), pp.858-869. ⟨10.1109/TASE.2010.2047499⟩. ⟨hal-00514886⟩