Modeling and Analysis of Multi-hop Control Networks
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General Robotics, Automation, Sensing and Perception Laboratory
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radiocommunication
telecommunication network routing
telecommunication network topology
control co-design
formal syntax
mathematica notebook
multihop communication networks
multihop control networks
networking co-design
switched systems
wireless HART specification
Computer Engineering
Computer Sciences
Databases and Information Systems
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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.