Non-fragile dynamic output-feedback control for \(l_1\)-gain performance of positive FM-II model with PDT switching: an event-triggered mechanism. (English) Zbl 1527.93295
Summary: In this article, the design problem of event-triggered (E-T) non-fragile dynamic output-feedback controller is addressed for the uncertain Fornasini-Marchesini second (FM-II) model with persistent dwell time (PDT) switching constraint. First of all, a novel E-T scheme is introduced to reduce the measurement transmission ratio so as to decrease the occupancy of the communication channels. Then, by choosing a suitable co-positive type Lyapunov function and utilizing the PDT method, sufficient conditions are obtained under which the obtained closed-loop system is positive, robustly exponentially stable and has an \(l_1\)-gain performance. The corresponding controller design issues are simultaneously discussed, and the parameterized matrices are explicitly designed by solving some linear programming inequalities. Finally, a simulation example is provided to show feasibility of the developed theoretical results.
{© 2022 John Wiley & Sons Ltd.}
{© 2022 John Wiley & Sons Ltd.}
MSC:
| 93C65 | Discrete event control/observation systems |
| 93B52 | Feedback control |
| 93C28 | Positive control/observation systems |
Keywords:
dynamic output-feedback control; event-triggered scheme; Fornasini-Marchesini second model; persistent dwell time switching; positivityReferences:
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