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Analytic Calculus of Response Time in Networked Automation Systems

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3 Author(s)
Boussad Addad ; Automated Production Research Laboratory LURPA, ENS-Cachan, Cachan Cedex, France ; Saïd Amari ; Jean-Jacques Lesage

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.

Published in:

IEEE Transactions on Automation Science and Engineering  (Volume:7 ,  Issue: 4 )