Modeling and Analysis of Multi-hop Control Networks

Alur Rajeev, University of Pennsylvania
Alessandro D'Innocenzo, University of Pennsylvania
Karl H. Johansson, University of Pennsylvania
George James Pappas, University of Pennsylvania
Gera Weiss, University of Pennsylvania

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Reprinted from:
Alur, R.; D'Innocenzo, A.; Johansson, K.H.; Pappas, G.J.; Weiss, G., "Modeling and Analysis of Multi-hop Control Networks," Real-Time and Embedded Technology and Applications Symposium, 2009. RTAS 2009. 15th IEEE , vol., no., pp.223-232, 13-16 April 2009

URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=4840583&isnumber=4840552

Abstract

We propose a mathematical framework, inspired by the Wireless HART specification, for modeling and analyzing multi-hop communication networks. The framework is designed for systems consisting of multiple control loops closed over a multi-hop communication network. We separate control, topology, routing, and scheduling and propose formal syntax and semantics for the dynamics of the composed system. The main technical contribution of the paper is an explicit translation of multi-hop control networks to switched systems. We describe a Mathematica notebook that automates the translation of multihop control networks to switched systems, and use this tool to show how techniques for analysis of switched systems can be used to address control and networking co-design challenges.