Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 358, Issue 6, Pages 3276-3301Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2021.02.009
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Funding
- National Natural Science Foundation of China [61803007, 61573030]
- Rail Transit Joint Funds of Beijing Natural Science Foundation and Traffic Control Technology [L171001]
- Fundamental research fund of Beijing University of Technology
- Beijing Municipal Education Commission
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This paper focuses on the fault detection and consensus control of a class of linear multi-agent systems with external disturbances, using an event-triggered scheme. By simultaneously designing an event-triggered consensus protocol and an observer-based fault detection filter, the specific design problem is transformed into a multi-objective optimization problem. Sufficient conditions are derived based on the Lyapunov-Krasovskii Theory and Projection Lemma to ensure system stability and meet performance constraints.
This paper is concerned with the problem of fault detection and consensus control via event-triggered scheme for a class of linear multi-agent systems subject to external disturbances. For the network of multi-agent systems with unknown faults and disturbances, the event-triggered consensus protocol and observer-based fault detection filter are designed simultaneously. Through the model transformation and decomposition, the specific design problem can be transformed into a multi-objective optimization problem by using a mixed H-infinity/H_ method. Based on the Lyapunov-Krasovskii Theory and Projection Lemma, some sufficient conditions, which ensure the decomposed system is not only asymptotically stable, but also satisfies the prescribed optimization performance constraints, are derived in the form of linear matrix inequalities. Finally, two simulation examples are provided to verify the practicality and validity of the theoretical results. (C) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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