6533b7ddfe1ef96bd127505b

RESEARCH PRODUCT

Robust adaptive H∞ synchronization of master-slave systems with discrete and distributed time-varying delays and nonlinear perturbations

Hamid Reza Karimi

subject

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413adaptive synchronization master-slave system delay H∞ performance nonlinear pertubationsVDP::Technology: 500::Mechanical engineering: 570

description

Author's version of a chapter published in the book: Proceedings of the 18th IFAC World Congress 2011. Also available from the publisher at: http://dx.doi.org/10.3182/20110828-6-IT-1002.03116 This paper establishes an adaptive synchronization problem for the master and slave structure of linear systems with nonlinear perturbations and mixed time-varying delays, where the mixed delays comprise different discrete and distributed time-delays. Using an appropriate Lyapunov-Krasovskii functional, some delay-dependent sufficient conditions and an adaption law which include the master-slave parameters are established for designing a delayed synchronization law in terms of linear matrix inequalities. The controller guarantees the H_infinity synchronization of the two coupled master and slave systems regardless of their initial states. Particularly, it is shown that the synchronization speed can be controlled by adjusting the update gain of the synchronization signal. A numerical example is given to show the effectiveness of the method.

yearjournalcountryeditionlanguage
2011-01-01
http://hdl.handle.net/11250/136845