论文标题
转离时间延迟系统的事件触发控制
Event-Triggered Control for Discrete-Time Delay Systems
论文作者
论文摘要
这项研究重点是随时间延迟对非线性离散时间系统的控制。基于Lyapunov-Krasovskii类型输入对国家稳定性结果，我们提出了一种新型事件触发的控制算法，可工作如下。仅当特定测量误差超过动态阈值时，才会更新控制输入，具体取决于系统状态和演变时间。建立了足够的条件，以确保闭环系统保持其渐近稳定性。结果表明，动态阈值中的时间相关部分对于在两个连续控制更新之间得出时间的下限至关重要。作为我们结果的特殊情况，我们证明了随时间延迟的一类线性控制系统设计的事件触发算法的性能。提供了数值模拟以证明我们算法的有效性和理论结果。
This study focuses on event-triggered control of nonlinear discrete-time systems with time delays. Based on a Lyapunov-Krasovskii type input-to-state stability result, we propose a novel event-triggered control algorithm that works as follows. The control inputs are updated only when a certain measurement error surpasses a dynamical threshold depending on both the system states and the evolution time. Sufficient conditions are established to ensure that the closed-loop system maintains its asymptotic stability. It is shown that the time-dependent portion in the dynamical threshold is essential to derive the lower bound of the times between two consecutive control updates. As a special case of our results, we demonstrate the performance of the designed event-triggering algorithm for a class of linear control systems with time delays. Numerical simulations are provided to demonstrate the effectiveness of our algorithm and theoretical results.
