事件触发控制的耦合系统的输入到状态稳定性
Input-to-State Stability of Coupled Systems with Event-Triggered Control
摘要: 本文研究了基于事件触发脉冲控制(ETIC)策略的网络上一般非线性脉冲耦合系统的输入到状态稳定性(ISS)，其中脉冲序列由一些预先设计的事件条件生产。与传统的事件触发控制不同，ETIC是指控制器仅在某些与状态相关的事件条件被触发时才被激活，而且在两个连续的触发脉冲瞬间之间没有任何控制传输。事件触发脉冲通常被认为是一类与状态相关的脉冲，其中事件触发机制(ETM)是一个脉冲发生器。利用ETIC策略和图论的方法，建立基于Lyapunov的准则，可以有效避免无限快的触发行为，保证非线性耦合脉冲系统的ISS。为了证明理论结果，我们给出了一个数值模拟的例子来证明理论结果的有效性。
Abstract: This paper investigates the input-to-state stability (ISS) of a nonlinear impulse coupled system on a network based on an event-triggered impulse control (ETIC) strategy, where the impulse sequence is produced by some pre-designed event conditions. In contrast to traditional event-triggered control, ETIC means that the controller is activated only when some state-dependent event condition is triggered without any control transfer between two consecutive triggering pulse instants. Event- triggered impulses are generally considered to be a class of state-dependent impulses, where the event-triggered mechanism (ETM) is an impulse generator. Using the ETIC strategy and graph-theo- retic methods, a Lyapunov-based criterion can be constructed to effectively avoid infinitely fast triggering behaviors and to guarantee ISS for nonlinearly coupled pulsed systems. In order to prove the theoretical results, an example of numerical simulation is given to demonstrate the validity of the theoretical results.
文章引用：杨弘, 马楠. 事件触发控制的耦合系统的输入到状态稳定性[J]. 理论数学, 2024, 14(3): 172-185. https://doi.org/10.12677/pm.2024.143097

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