论文标题
基于区域的自触发控制下的线性系统中的事件间时间分析
Analysis of Inter-Event Times in Linear Systems under Region-Based Self-Triggered Control
论文作者
论文摘要
本文分析了基于区域的自触发控制（RBSTC）下线性系统中事件间时间（IET）的演变。在此控制方法中，状态空间被分配为有限数量的圆锥区域，每个区域都与固定的IET相关联。在此框架中，研究IET的稳态行为等同于研究圆锥子区域的存在，该圆锥形区域在地图下呈阳性不变，这使状态从一个事件变为另一个事件。我们为存在一个正象不变的子区域（PI）提供了必要的条件和足够条件。我们还提供了必要和足够的条件，使PI渐近稳定。间接地，它们为IET局部收敛到常数或给定的周期性序列提供了必要和足够的条件。我们通过数值模拟说明了提出的分析方法和结果。
This paper analyzes the evolution of inter-event times (IETs) in linear systems under region-based self-triggered control (RBSTC). In this control method, the state space is partitioned into a finite number of conic regions and each region is associated with a fixed IET. In this framework, studying the steady state behavior of the IETs is equivalent to studying the existence of a conic subregion that is positively invariant under the map that gives the evolution of the state from one event to the next. We provide necessary conditions and sufficient conditions for the existence of a positively invariant subregion (PIS). We also provide necessary and sufficient conditions for a PIS to be asymptotically stable. Indirectly, they provide necessary and sufficient conditions for local convergence of IETs to a constant or to a given periodic sequence. We illustrate the proposed method of analysis and results through numerical simulations.
