Distributed Event-Triggered Impulsive Control for Synchronization of Coupled Harmonic Oscillators

This paper addresses the synchronization problem of coupled harmonic oscillators via event-triggered impulsive control. Different from the existing results where both position and velocity measurements are required to achieve the synchronization, two kinds of event-triggered impulsive mechanisms, th...

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Bibliographic Details
Published inIEEE access Vol. 9; pp. 126231 - 126240
Main Authors Ma, Guodong, Ren, Jie, Liu, Yansen, Lu, Guoping
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Control systems design
Costs
Coupled harmonic oscillator
event-triggered impulsive control
Harmonic analysis
Harmonic oscillators
leader-following
Oscillators
Position measurement
Protocols
Synchronism
Synchronization
Velocity measurement
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Summary:This paper addresses the synchronization problem of coupled harmonic oscillators via event-triggered impulsive control. Different from the existing results where both position and velocity measurements are required to achieve the synchronization, two kinds of event-triggered impulsive mechanisms, that is, the position-only and velocity-only approaches are proposed respectively, which effectively extends the event-triggered impulsive control strategy to the synchronization problem with limited information. Sufficient conditions are proposed to exhibit the convergence behavior of the coupled harmonic oscillators. Meanwhile, it is derived that Zeno behavior can be excluded by using the designed controller. Two simulation examples are illustrated to substantiate the performance of the proposed synchronization protocols.
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ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2021.3111618