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Non‐fragile dynamic output‐feedback control for l1‐gain performance of positive FM‐II model with PDT switching: An event‐triggered mechanism

Non‐fragile dynamic output‐feedback control for l1‐gain performance of positive FM‐II model with... 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 l1‐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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Robust and Nonlinear Control Wiley

Non‐fragile dynamic output‐feedback control for l1‐gain performance of positive FM‐II model with PDT switching: An event‐triggered mechanism

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References (51)

Publisher
Wiley
Copyright
© 2022 John Wiley & Sons, Ltd.
ISSN
1049-8923
eISSN
1099-1239
DOI
10.1002/rnc.6003
Publisher site
See Article on Publisher Site

Abstract

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 l1‐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.

Journal

International Journal of Robust and Nonlinear ControlWiley

Published: Apr 1, 2022

Keywords: dynamic output‐feedback control; event‐triggered scheme; Fornasini‐Marchesini second model; persistent dwell time switching; positivity

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