Open AccessEvent‐triggered control for continuous‐time switched linear systems
Author(s) -
Xiang Weiming,
T. Johnson Taylor
Publication year - 2017
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2016.0672
Subject(s) - control theory (sociology) , sampling (signal processing) , stability (learning theory) , exponential stability , mathematics , linear system , event (particle physics) , control (management) , sampling time , computer science , control system , nonlinear system , engineering , statistics , telecommunications , mathematical analysis , physics , quantum mechanics , artificial intelligence , machine learning , detector , electrical engineering
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 andL 2 ‐gain analysis. Several examples are provided to illustrate the authors' results.