论文标题
具有致动延迟的非线性系统的事件触发的冲动控制
Event-Triggered Impulsive Control for Nonlinear Systems with Actuation Delays
论文作者
论文摘要
本文研究了非线性系统的冲动稳定。我们提出了两种类型的事件触发算法，以通过驱动延迟更新冲动控制信号。第一种算法基于连续事件检测，而第二种类型则决定根据定期事件检测更新冲动控制输入。得出足够的条件，以确保具有设计的事件触发算法的冲动控制系统的渐近稳定性。还获得了两个连续事件之间的时间段的下限，因此闭环冲动系统没有ZENO行为。也就是说，在冲动微分方程的社区中，脉冲现象被排除在事件触发的冲动控制系统之外。一个说明性的例子证明了所提出的算法和我们的理论结果的有效性。
This paper studies impulsive stabilization of nonlinear systems. We propose two types of event-triggering algorithms to update the impulsive control signals with actuation delays. The first algorithm is based on continuous event detection, while the second type makes decision about updating the impulsive control inputs according to periodic event detection. Sufficient conditions are derived to ensure asymptotic stability of the impulsive control systems with the designed event-triggering algorithms. Lower bounds of the time period between two consecutive events are also obtained, so that the closed-loop impulsive systems are free of Zeno behavior. That is to say that the pulse phenomena are excluded from the event-triggered impulsive control systems, in the community of impulsive differential equations. An illustrative example demonstrates effectiveness of the proposed algorithms and our theoretical results.
