Event-triggered non-fragile control for uncertain positive Roesser model with PDT switching mechanism

Abstract In this paper, the issue of non-fragile control is addressed for the positive discrete-time Roesser model with uncertain parameters, where the switching mechanism obeys the persistent dwell time (PDT) constraint. First of all, in order to reduce the resource occupancy, a event-triggered (E-T) mechanism is introduced for the considered positive Roesser model. Then two kinds of non-fragile controllers combining with the E-T scheme are designed. By utilizing the PDT idea and the co-positive-type Lyapunov function method, sufficient conditions to ensure that the resulting closed-loop systems are positive and robust exponentially stable are presented. In addition, explicit expressions for the related controller gain matrices are also provided. Finally, an illustrative simulation example is given to show feasibility of the developed theoretical results.