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

Title
Robust H-infinity decentralized dynamic control for synchronization of a complex dynamical network with randomly occurring uncertainties
Authors
Lee, TH[Lee, Tae H.]Park, JH[Park, Ju H.]Wu, ZG[Wu, Zheng-Guang]Lee, SC[Lee, Sang-Choel]Lee, DH[Lee, Dong Ha]
DGIST Authors
Lee, SC[Lee, Sang-Choel]; Lee, DH[Lee, Dong Ha]
Issue Date
2012-10
Citation
Nonlinear Dynamics, 70(1), 559-570
Type
Article
Article Type
Article
Keywords
Asymptotic SynchronizationBernoulliComplex Dynamical NetworkComplex Dynamical NetworksDecentralized Dynamic ControllerDynamic ControllerDynamic ControlsDynamic Feedback ControllersExistence ConditionsH Infinity ControlLinear Matrix InequalitiesLyapunov Stability TheoryNorm-Bounded UncertaintyNumerical ExampleRandomly Occurring Uncertainties (ROUs)Robust HSynchronizationSynchronization ProblemWhite NoiseWhite Noise Sequence
ISSN
0924-090X
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. © 2012 Springer Science+Business Media B.V.
URI
http://hdl.handle.net/20.500.11750/3331
DOI
10.1007/s11071-012-0477-0
Publisher
Springer
Related Researcher
Files:
There are no files associated with this item.
Collection:
Convergence Research Center for Wellness1. Journal Articles


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