This paper is concerned with the event-triggered L₁-gain control of a class of nonlinear positive switched systems. First, an event-triggering condition in the form of 1-norm is presented for the systems. By virtue of the event-triggering strategy, the original system is transformed into an interval uncertain system. An event-triggered L₁-gain controller is designed by decomposing the controller gain matrix into the sum of nonnegative and non-positive components. Under the design controller, the resulting closed-loop systems are positive and L₁-gain stable. The obtained approach is developed for the systems subject to input saturation. All presented conditions are solvable in terms of linear programming. Finally, two examples are provided to verify the effectiveness of the design.

本文涉及一类非线性正切换系统的事件触发的L ₁增益控制。首先，针对系统提出了1-范数形式的事件触发条件。通过事件触发策略，将原始系统转换为区间不确定系统。通过将控制器增益矩阵分解为非负分量和非正分量的总和来设计事件触发的L ₁增益控制器。在设计控制器下，最终的闭环系统为正且L ₁-获得稳定。针对输入饱和的系统开发了获得的方法。所有提出的条件都可以通过线性编程解决。最后，提供了两个示例来验证设计的有效性。