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

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.