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.

在本文中，针对具有不确定参数的正离散时间Roesser模型，解决了非脆弱控制的问题，其中切换机制遵循持续驻留时间（PDT）约束。首先，为了减少资源占用，为考虑的正Roesser模型引入了事件触发（ET）机制。然后结合ET方案设计了两种非脆弱控制器。通过利用PDT思想和共正型Lyapunov函数方法，提出了充分的条件来确保所得的闭环系统为正值，并且鲁棒指数稳定。此外，还提供了相关控制器增益矩阵的显式表达式。最后，给出了一个仿真例子来说明所开发理论结果的可行性。