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Analysis and design of event‐triggered control algorithms using hybrid systems tools
Author(s) -
Chai Jun,
Casau Pedro,
Sanfelice Ricardo G.
Publication year - 2020
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5141
Subject(s) - robustness (evolution) , computer science , asynchronous communication , hybrid system , control theory (sociology) , zeno's paradoxes , key (lock) , algorithm , dynamical systems theory , robust control , event (particle physics) , stability (learning theory) , control engineering , control system , control (management) , mathematics , engineering , artificial intelligence , machine learning , computer network , biochemistry , chemistry , physics , geometry , computer security , quantum mechanics , electrical engineering , gene
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.