Li Xiaodi, Zhang Taixiang, Wu Jianhong
IEEE Trans Cybern. 2022 Jul;52(7):7187-7195. doi: 10.1109/TCYB.2020.3044003. Epub 2022 Jul 4.
This article investigates input-to-state stability (ISS) and integral ISS (iISS) of nonlinear impulsive systems based on the event-triggered impulsive control (ETIC) strategy, where the impulse sequence is generated by some predesigned event conditions. Unlike traditional event-triggered control, ETIC means that the controller is activated only when some state-dependent event conditions are triggered and moreover, there is not any control transmission between two consecutive triggered impulse instants. Event-triggered impulses are usually regarded as a class of state-dependent impulses, where the event-triggered mechanism (ETM) is an impulse generator. By using the ETIC strategy, some Lyapunov-based criteria are established, which can effectively avoid infinitely fast triggering behavior and guarantee ISS/iISS of nonlinear impulsive systems. Then, the theoretical results are applied to nonlinear system, where a class of ETMs and impulsive control gain are derived with the help of LMIs. Finally, two numerical examples are presented to illustrate the validity of our control strategies.
本文基于事件触发脉冲控制（ETIC）策略研究非线性脉冲系统的输入到状态稳定性（ISS）和积分ISS（iISS），其中脉冲序列由一些预先设计的事件条件生成。与传统的事件触发控制不同，ETIC意味着仅当某些依赖于状态的事件条件被触发时控制器才被激活，而且，在两个连续触发的脉冲时刻之间不存在任何控制传输。事件触发脉冲通常被视为一类依赖于状态的脉冲，其中事件触发机制（ETM）是一个脉冲发生器。通过使用ETIC策略，建立了一些基于李雅普诺夫的准则，这些准则可以有效地避免无限快速触发行为并保证非线性脉冲系统的ISS/iISS。然后，将理论结果应用于非线性系统，借助线性矩阵不等式（LMI）推导了一类ETM和脉冲控制增益。最后，给出两个数值例子来说明我们控制策略的有效性。
