Event‐triggered control for continuous‐time switched linear systems. Issue 11 (1st July 2017)

• Record Type: Journal Article
• Authors: Xiang, Weiming; T. Johnson, Taylor
• Is Part Of: IET control theory & applications. Volume 11:Issue 11(2017)
• Page Start: 1694
• Page End: 1703
• Publication Date: 2017-07-01
• Subjects: continuous time systems -- time‐varying systems -- linear systems -- closed loop systems -- asymptotic stability -- matrix algebra -- control system analysis; event‐triggered control -- continuous‐time switched linear system -- periodical sampling scheme -- event‐triggering condition -- feedback control -- asymptotic stability -- robust sampling; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2016.0672
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : The event‐triggered control problem for switched linear system is addressed in this study. The periodical sampling scheme and event‐triggering condition are incorporated in the closed‐loop. The feedback control updates its value only at sampling instants as long as event‐triggering condition is satisfied as well. In addition, the switchings are only allowed to occur at sampling instants and meanwhile the switching condition is satisfied. Three equivalent sufficient conditions are proposed to ensure the asymptotic stability of switched systems. In particular, one condition has a promising feature of affineness in system matrices, and as a consequence, it is extended to robust sampling case and L 2 ‐gain analysis. Several examples are provided to illustrate the authors' results.