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Global stabilisation of discrete‐time linear systems using event‐triggered bounded controls
Author(s) -
Xie Yijing,
Lin Zongli
Publication year - 2019
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.2018.5600
Subject(s) - bounded function , control theory (sociology) , control (management) , linear system , mathematics , computer science , event (particle physics) , discrete time and continuous time , state (computer science) , algorithm , mathematical analysis , physics , artificial intelligence , statistics , quantum mechanics
This study deals with the problem of global stabilisation of discrete‐time linear systems using event‐triggered bounded controls. The system dynamics is decomposed into single input subsystems, which explicitly display various dynamic characteristics. Event‐triggered bounded control laws, both of the state feedback type and the output feedback type, are constructed based on the dynamics of the subsystems. Event‐triggering strategies are designed for updating the control input of the two control laws, respectively. Global asymptotic stabilisation is shown to be achieved under these control laws. Numerical simulation is given to verify the effectiveness of the theoretical results.

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