Abstract This paper investigates the dynamic event-triggered L ∞ control for switched affine systems under limited communication resources. For switched affine systems, affine terms bring the difficulty on the exclusion of triggering Zeno behavior. The proposed dynamic event-triggered mechanism can preclude the occurrence of triggering Zeno behavior even if affine terms and the exogenous disturbance coexist. Moreover, it further reduces the transmission frequency compared with the static version. The switching chattering phenomenon is avoided by the designed sampled-data switching rule. The co-design method of dynamic event-triggered scheme, switching controller and sampled-data switching rule is provided to achieve practical stability and the L ∞ performance with respect to the external interference. Tools and techniques of time-dependent Lyapunov function are used to obtain sufficient conditions in terms of linear matrix inequalities. Finally, the effectiveness of the developed results is illustrated by an example.

中文翻译：

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具有采样数据切换的切换仿射系统的动态事件触发 L∞ 控制

摘要 本文研究了有限通信资源下切换仿射系统的动态事件触发L ∞ 控制。对于切换仿射系统，仿射项给排除触发 Zeno 行为带来了困难。即使仿射项和外生干扰共存，所提出的动态事件触发机制也可以排除触发 Zeno 行为的发生。此外，与静态版本相比，它进一步降低了传输频率。设计的采样数据切换规则避免了切换抖动现象。提供了动态事件触发方案、切换控制器和采样数据切换规则的协同设计方法，以实现实际稳定性和相对于外部干扰的L ∞ 性能。时间相关的李雅普诺夫函数的工具和技术用于获得线性矩阵不等式方面的充分条件。最后，通过一个例子说明了所开发结果的有效性。