Analysis and design of event‐triggered control algorithms using hybrid systems tools. (25th September 2020)

• Record Type: Journal Article
• Authors: Chai, Jun; Casau, Pedro; Sanfelice, Ricardo G.
• Other Names: Piga Dario guestEditor.; Bemporad Alberto guestEditor.
• Is Part Of: International journal of robust and nonlinear control. Volume 30:Number 15(2020)
• Page Start: 5936
• Page End: 5965
• Publication Date: 2020-09-25
• Subjects: event‐triggered controls -- hybrid systems -- robustness -- stability; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5141
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: This article proposes a general framework for analyzing continuous‐time systems controlled by event‐triggered algorithms. Closed‐loop systems resulting from using both static and dynamic output (or state) feedback laws that are implemented via asynchronous event‐triggered techniques are modeled as hybrid systems given in terms of hybrid inclusions. Using recently developed tools for robust stability, properties of the proposed models, including stability of compact sets, robustness, and Zeno behavior of solutions are addressed. The framework and results are illustrated by several event‐triggered strategies available in the literature, and observations about their key dynamical properties are made.