Event-triggered control of systems with sector-bounded nonlinearities and intermittent packet transmissions

The problem of event-triggered sampled-data control of nonlinear systems with sector-bounded nonlinearities is considered. We assume that sensors transmit their measurements to the controller over a communication channel, where the success of transmissions is defined by an i.i.d. Bernoulli process....

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 146; p. 110651
Main Authors Seifullaev, Ruslan, Knorn, Steffi, Ahlén, Anders
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2022
Subjects
Event-triggered control
Lyapunov-Krasovskii functional
Nonlinear systems
Event-triggered control
Nonlinear systems
Lyapunov–Krasovskii functional
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Summary:The problem of event-triggered sampled-data control of nonlinear systems with sector-bounded nonlinearities is considered. We assume that sensors transmit their measurements to the controller over a communication channel, where the success of transmissions is defined by an i.i.d. Bernoulli process. For the analysis of the closed-loop system stability, we use the Lyapunov–Krasovskii technique. As a result, we obtain stability conditions in terms of linear matrix inequalities (LMIs), which can be used to design the appropriate triggering parameters. A global strictly positive minimum inter-event time is guaranteed to exist by design with the proposed triggering condition. A numerical example demonstrates the efficiency of the event-triggered approach in reducing the number of transmissions compared to periodic sampling, where the period is the enforced minimum time in the event-triggering condition.
ISSN:0005-1098
1873-2836
1873-2836
DOI:10.1016/j.automatica.2022.110651