A New Lyapunov-Based Event-Triggered Control of Linear Systems

• 成果类型: Article
• 署名作者: Ghodrat, Mohsen; Marquez, Horacio J. J.
• 署名单位: University of Alberta
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3190028
• 发表日期: 2023
• 页码: 2599-2606
• 关键词: trajectory; Upper bound; Lyapunov methods; Stability criteria; Linear systems; CONVERGENCE; sensitivity; event-triggered control; linear time-invariant systems; Index Terms; Lyapunov sampling

摘要

This article introduces a new Lyapunov sampling for event-triggered linear systems. Contrary to the majority of the existing literature, our proposed event-triggering mechanism (ETM) directly deals with the Lyapunov derivative rather than its upper bounds. Moreover, a new concept of ideality is introduced, which serves as a measure of conservativity of the triggering mechanism during the stability regions of trajectories. To construct the ETM, we employ a diagonal transformation to facilitate the design in a component-wise fashion. Moreover, the interpretation of stating ETM in the transformed coordinate is given by when the trajectories reach $p$-norm contour curves. A proof of Zeno behavior exclusion is also given, which is required to justify the efficiency of the presented method for practical implementation. The approach is illustrated by a compelling example.