Evaluation of response time bounds in producer/consumer networked control systems using (Max,+) algebra

Abstract In this paper, we address the problem of temporal performances evaluation of producer/consumer networked control systems. The aim is to develop a formal approach for evaluating the response time of this type of control systems. Our approach consists on modeling, using Timed Event Graphs, the whole architecture. We use the (max, +) algebra formalism to obtain analytical formulas of the response time and the maximal and minimal bounds.