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Observer‐based event‐triggered control for singularly perturbed systems with saturating actuator
Author(s) -
Yan Yifang,
Yang Chunyu,
Ma Xiaoping,
Zhou Linna
Publication year - 2019
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.4589
Subject(s) - control theory (sociology) , observer (physics) , actuator , controller (irrigation) , stability theory , zeno's paradoxes , mathematics , computer science , stability (learning theory) , control (management) , lyapunov function , lyapunov stability , physics , nonlinear system , geometry , quantum mechanics , artificial intelligence , machine learning , agronomy , biology
Summary This paper investigates an observer‐based event‐triggered control problem of singularly perturbed systems with saturating actuator. A strategy that consists of an observer‐based controller (OBC) and an event‐triggered mechanism (ETM) is considered. Firstly, sufficient conditions, which guarantee that the saturated SPSs are asymptotically stable excluding Zeno phenomenon, are derived via constructing an ε ‐dependent Lyapunov‐Krasovskii functional. Then, the OBC and ETM are designed simultaneously based on the aforementioned criteria. Furthermore, an estimate of the basin of attraction and an ε ‐bound are given by solving an optimization problem in the form of LMIs. Finally, an electric circuit system and a numerical example are presented to demonstrate the merits of the obtained method.