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Predefined-time practical consensus for multi-agent systems via event-triggered control. (English) Zbl 1507.93143

Summary: This paper studies the predefined-time practical consensus problem for multiple single-integrator systems through event-triggered control. A new kind of time-varying functions is firstly proposed. Then, new event-triggered control inputs as well as triggering conditions are designed on the basis of the time-varying function and the local broadcasted states. In particular, the control scheme is fully-distributed because no global information of the system and the communication topology is needed. Furthermore, the consensus analysis is presented based on a sufficient condition for predefined-time practical stability. It illustrates that practical consensus can be ensured with a completely pre-specified time. Besides, the exclusion of Zeno behavior at all the time instants is addressed. Numerical results verify the validity of the obtained control method.

MSC:

93C65 Discrete event control/observation systems
93D50 Consensus
93D40 Finite-time stability
93A16 Multi-agent systems
Full Text: DOI

References:

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