Robust H decentralized dynamic control for synchronization of a complex dynamical network with randomly occurring uncertainties

Tae H. Lee, Ju H. Park, Zheng Guang Wu, Sang Choel Lee, Dong Ha Lee

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

This paper considers synchronization problem of an uncertain complex dynamical network. The norm-bounded uncertainties enter into the complex dynamical network in randomly ways, and such randomly occurring uncertainties (ROUs) obey certain mutually uncorrelated Bernoulli distributed white noise sequences. Under the circumstances, a robust H decentralized dynamic feedback controller is designed to achieve asymptotic synchronization of the network. Based on Lyapunov stability theory and linear matrix inequality (LMI) framework, the existence condition for feasible controllers is derived in terms of LMIs. Finally, the proposed method is applied to a numerical example in order to show the effectiveness of our result.

Original languageEnglish
Pages (from-to)559-570
Number of pages12
JournalNonlinear Dynamics
Volume70
Issue number1
DOIs
StatePublished - Oct 2012

Bibliographical note

Funding Information:
Acknowledgements This work was supported in part by MEST & DGIST (12-BD-0101, Renewable energy and intelligent robot convergence technology development.)

Keywords

  • Complex dynamical network
  • Decentralized dynamic controller
  • H control
  • Randomly occurring uncertainties (ROUs)
  • Synchronization

Fingerprint

Dive into the research topics of 'Robust H decentralized dynamic control for synchronization of a complex dynamical network with randomly occurring uncertainties'. Together they form a unique fingerprint.

Cite this