Abstract
In networked control systems, the advent of event-triggering strategies in the sampling process has resulted in the usage reduction of network capacities, such as communication bandwidth. However, the aperiodic nature of sampling periods generated by event-triggering strategies has hindered the schedulability of such networks. In this study, we propose a framework to construct a timed safety automaton that captures the sampling behavior of perturbed LTI systems with an L2-based triggering mechanism proposed in the literature. In this framework, the state-space is partitioned into a finite number of convex polyhedral cones, each cone representing a discrete mode in the abstracted automaton. Adopting techniques from stability analysis of retarded systems accompanied with a polytopic embedding of time, LMI conditions to characterize the sampling interval associated with each region are derived. Then, using reachability analysis, the transitions in the abstracted automaton are derived.
Original language | English |
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Title of host publication | Proceedings 2016 IEEE 55th Conference on Decision and Control (CDC) |
Editors | Alessandro Giua, Francesco Bullo, Christophe Prieur |
Place of Publication | Piscataway, NJ, USA |
Publisher | IEEE |
Pages | 1364-1369 |
ISBN (Print) | 978-1-5090-1837-6 |
DOIs | |
Publication status | Published - 2016 |
Event | 55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States Duration: 12 Dec 2016 → 14 Dec 2016 |
Conference
Conference | 55th IEEE Conference on Decision and Control, CDC 2016 |
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Abbreviated title | CDC 2016 |
Country/Territory | United States |
City | Las Vegas |
Period | 12/12/16 → 14/12/16 |
Keywords
- Automata
- Symmetric matrices
- Clocks
- Safety
- Linear systems
- Bandwidth