In this article, we propose a region-based self-triggered control (STC) scheme for nonlinear systems. The state space is partitioned into a finite number of regions, each of which is associated to a uniform interevent time. The controller, at each sampling time instant, checks to which region does the current state belong, and correspondingly decides the next sampling time instant. To derive the regions along with their corresponding interevent times, we use approximations of isochronous manifolds, a notion first introduced in Anta and Tabuada (2012). This article addresses some theoretical issues of Anta and Tabuada (2012) and proposes an effective computational approach that generates approximations of isochronous manifolds, thus enabling the region-based STC scheme. The efficiency of both our theoretical results and the proposed algorithm is demonstrated through simulation examples.

中文翻译：

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基于区域的自触发控制的同步分区


在本文中，我们提出了一种用于非线性系统的基于区域的自触发控制（STC）方案。状态空间被划分为有限数量的区域，每个区域都与统一的事件间隔时间相关联。控制器在每个采样时刻检查当前状态属于哪个区域，并相应地决定下一个采样时刻。为了导出区域及其相应的事件间隔时间，我们使用等时流形的近似，这是 Anta 和 Tabuada (2012) 首次引入的概念。本文解决了 Anta 和 Tabuada (2012) 的一些理论问题，并提出了一种有效的计算方法，可以生成等时流形的近似值，从而实现基于区域的 STC 方案。我们的理论结果和所提出的算法的效率都通过仿真例子得到了证明。