Wang Zhichuang, He Wei, Sun Jian, Wang Gang, Chen Jie
IEEE Trans Cybern. 2024 Jul;54(7):4348-4358. doi: 10.1109/TCYB.2023.3312491. Epub 2024 Jul 11.
This article investigates the event-triggered switching control (ETSC) of switched nonlinear time-delay systems (SNTDSs) with asynchronous switching. First, we study the input-to-state stability (ISS) and integral ISS (iISS) for SNTDSs with asynchronous switching, where switching instants are generated based on the designed event-triggered mechanism. Among existing works on the ETSC, systems behavior at event-triggered instants is neglected. In fact, whenever an event is triggered, the systems mode will jump suddenly such that a switch is imposed to the systems, leading to the change of subsystems. Moreover, asynchronous switching behavior may occur between the actual subsystem and its corresponding controller. These facts bring great challenges for the event-triggered mechanism design and ISS analysis. To tackle these problems, a new Lyapunov-based event-triggered mechanism with adjustable parameters is designed to establish the relationship between systems switches and event triggers, and exclude the Zeno phenomenon. The analysis of the asynchronous switching behavior can be implemented and some ISS and iISS criteria of SNTDSs are derived utilizing the merging switching technique. Finally, two numerical examples, including a practical stirred tank reactor system, are presented to show the validity of the proposed methods.
本文研究具有异步切换的切换非线性时滞系统（SNTDSs）的事件触发切换控制（ETSC）。首先，我们研究具有异步切换的SNTDSs的输入到状态稳定性（ISS）和积分ISS（iISS），其中切换时刻基于所设计的事件触发机制生成。在现有的关于ETSC的工作中，事件触发时刻的系统行为被忽略了。事实上，每当一个事件被触发时，系统模式会突然跳跃，从而给系统施加一个切换，导致子系统发生变化。此外，实际子系统与其相应控制器之间可能会出现异步切换行为。这些事实给事件触发机制设计和ISS分析带来了巨大挑战。为了解决这些问题，设计了一种具有可调参数的基于李雅普诺夫的新型事件触发机制，以建立系统切换与事件触发之间的关系，并排除芝诺现象。可以对异步切换行为进行分析，并利用合并切换技术推导SNTDSs的一些ISS和iISS准则。最后，给出了两个数值例子，包括一个实际的搅拌釜式反应器系统，以证明所提方法的有效性。
