In this article, the problem of distributed synchronization of networked systems with actuator bias faults is investigated. To effectively use the limited network bandwidth and avoid the requirement of global information, a novel adaptive event-triggered state feedback controller and a dynamic triggering law are designed jointly by employing a projection operator approach. The proposed synchronization scheme is different from existing ones that have focused on designing controllers and triggering laws independently. Besides, our scheme is extended to design an observer-based distributed adaptive event-triggered controller and corresponding dynamic triggering law when the system states are unmeasurable. Theoretical analysis shows that under the two different distributed event-triggered synchronization schemes, the following three results can be obtained: 1) fully distributed synchronization can be achieved without knowing global information associated with the underlying communication topology and node's scale; 2) continuous communication among adjacent nodes can be avoided for both designed controllers and dynamic triggering laws; and 3) exclusion of Zeno phenomenon is shown by contradiction. Finally, the effectiveness of the proposed algorithms is verified through three numerical examples.

中文翻译：

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具有执行器偏置故障的网络系统的完全分布式自适应事件触发控制。

在本文中，研究了带有执行器偏置故障的网络系统的分布式同步问题。为了有效地利用有限的网络带宽，避免了对全局信息的需求，采用投影算子方法，共同设计了一种新型的自适应事件触发状态反馈控制器和动态触发律。所提出的同步方案不同于现有的同步方案，后者集中于独立设计控制器和触发规则。此外，我们的方案扩展到设计一种基于观察者的分布式自适应事件触发控制器，以及在系统状态无法测量时相应的动态触发律。理论分析表明，在两种不同的分布式事件触发同步方案下，可以得到以下三个结果：1）在不知道与底层通信拓扑和节点规模相关的全局信息的情况下，可以实现完全分布式的同步；2）对于既定的控制器和动态触发定律，都可以避免相邻节点之间的连续通信；3）矛盾表明排除了芝诺现象。最后，通过三个数值例子验证了所提算法的有效性。