6533b856fe1ef96bd12b32f9

RESEARCH PRODUCT

A sliding mode approach to H∞ synchronization of master–slave time-delay systems with Markovian jumping parameters and nonlinear uncertainties

Hamid Reza Karimi

subject

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413Computer Networks and CommunicationsComputer scienceApplied Mathematicssynchronization master-slave systems sliding mode delay H∞ performance nonlinear uncertaintiesVDP::Technology: 500::Mechanical engineering: 570Mode (statistics)Control engineeringMaster/slaveNonlinear systemControl and Systems EngineeringControl theorySignal ProcessingSynchronization (computer science)Markovian jumping

description

Author's version of an article published in the journal: Journal of the Franklin Institute. Also available from the publisher at: http://dx.doi.org/10.1016/j.jfranklin.2011.09.015 In this paper, a sliding-mode approach is proposed for exponential H∞ synchronization problem of a class of masterslave time-delay systems with both discrete and distributed time-delays, norm-bounded nonlinear uncertainties and Markovian switching parameters. Using an appropriate LyapunovKrasovskii functional, some delay-dependent sufficient conditions and a synchronization law, which include the masterslave parameters are established for designing a delay-dependent mode-dependent sliding mode exponential H∞ synchronization control law in terms of linear matrix inequalities. The controller guarantees the H∞ synchronization of the two coupled master and slave systems regardless of their initial states. Two numerical examples are given to show the effectiveness of the method.

yearjournalcountryeditionlanguage
2012-05-01Journal of the Franklin Institute
https://doi.org/10.1016/j.jfranklin.2011.09.015